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Algebra Q&A Archive of February 17, 2025

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February 17 of 2025

Portal DLLIQuiz B1 POP Quiz ixl.com/quizzes/11317737 31 My IXL Learning Assessment Analytics Quiz: B1 POP Quiz Submit quiz At the farmers' market, Lena bought 5 pounds of string beans and \( 11 / 12 \) of a pound of lima beans. How many more pounds of string beans did Lena purchase? Write…
4. The 2 nd term of a geometric series is 6 and the 4 th term is 54 . Find the sum of the series to 20 terms. 5. The 1st term of a geometric series is 1 and the 4 th term is -125 . Find the sum of the series to 20 terms. 6. The 1st term of a geometric series is \( \frac{2}{3} \) and the 5 th…
XLI Quiz: B1 POP Quiz ixi.com/quizzes/11317737 My IXL Learning Assessment Analytics Quiz: B1 POP Quiz Subm At the farmers' market, Lena bought 5 pounds of string beans and \( 11 / 12 \) of a pound of lima beans. How many more pounds of string beans did Lena purchase? Write your answer as a…
Suppose \( K \) is the midpoint of segment \( A B \). Find \( A B \). \[ A B=13 x+7 \text { and } A K=4 x+5 \] To find \( x \), solve the equation \( 13 x+7= \) \( \square \) \( x+ \) \( \square \) I \[ x= \] \( \square \) \[ A B= \] \( \square \)
NOT TO SCALE The diagram shows a sector OPQ of a circle with centre \( O \) and radius 24 cm . The sector angle is \( 60^{\circ} \). A cone is made from this sector by joining \( O P \) to \( Q Q \). NOT TO SCALE Calculate the volume of the cone. [The volume, \( V \), of a cone with radius…
XL. Quiz B1 POP Quiz ixl.com/quizzes/11317737 My IXL Learning Assessment Analytics Quiz: B1 POP Quiz The diameter of a semicircle is 8.2 feet. What is the semicircle's area? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. \( \square \) square feet Save answer
Choose the correct answer. A line segment one of its endpoints is at \( (-10,2) \) and its midpoint at \( (7,-6) \). Which of the following is used to find the coordinate of the missing endpoint of the line segment? \( 7=\frac{2+x}{2},-6=\frac{-10+y}{2} \) \( x=\frac{7+(-10)}{2},…
(19.) Sumita bought a microwave at \( ₹ 22,400 \), including GST at the rate of \( 12 \% \). Find the original price of the microwave, excluding GST. 20. If 10 workers in a boutique stitch 24 shirts, then find the number of shirts stitched if the number of workers is 15 . 2. If 2 kg of material…
Choose the correct answer. A line segment one of its endpoints is at \( (-0.5,-2) \) and its midpoint at \( (1.5,-4) \). Which of the following equations are used to find the coordinate of the missing endpoint of the line segment? \( -1=1.5+x,-4=-4+y \) \( 3=-0.5+x,-8=-2+y \) \(…
Choose the correct answer. \( \overline{B C} \) has the midpoint \( M(7,-5) \) and one endpoint \( B(-4,6) \). Find the coordinates of point \( C \), the other endpoint on \( \overline{B C} \). Select 1 choice(s) \( (14,-10) \) \( (-4,4) \) \( (-2,12) \) \( (18,-16) \)
3. The water tank in Calamba Water District can be filled by pipe A in half the time the pipe B can empty the tank. When both pipes are operating, the tank can be filled in 1 hour and 12 minutes. Determine the time, in hours, for pipe A to fill the tank alone. a. 0.6 b. 0.7 c. 0.75 d. 0.8
6. The Royal Cricket Team played 56 matches and won 21 of them. What per cent of the matches did they lose? 7. CRITICAL THINKING There were 240 seats in an auditorium. During the run of a play, \( 45 \% \) of the auditorium seats were occupied. How many seats were vacant?
The sector shown is assembled to form a cone. Calculate a. The base circumference of the cone correct to 3 significant figures. b. The base radius of the cone. c. The vertical height of the cone correct to 2 decimal places. d. The volume of the cone correct to 3 significant figures. e. The…
23 Study the following statements and answer the question which follows - 25 Atres of perool allows Waybe to thovel 250 km - Wation travels 644 km using 50 ifres of petrof Determine the average petrol consumption rate in kmflite of the two men and indicate who drives a cor that consumer…
8. Ram saves money over 30 days by increasing the amount he saves by Rs. 100 daily, as follows. Rs 150 , Rs 250 , Rs 350 , Rs \( 450, \ldots \) a) Write the formula for finding the arithmetic mean between two numbers \( a \) and \( b \). [1] b) How much amount does he save over one…
fon at a time. Assessment activity 1.13 Make the symbol in brackets the subject of the formula: 1. \( 3 x+4=7 \) (x) 2. \( 11+5 x=13 y+4 x \) (x) 3. \( p-2 y=5-q-3 y \) (y) 8. \( \frac{p}{4} \neq \frac{y}{2} \) \( 4 y=2 p \) 9. \( 3(x+4)-9=6 \) 4. \( \frac{2}{3} x=4 \) (x) 11. \(…
Drag and drop in the blanks the correct answers. Refer to the number line. The two segments \( \square \) have the same midpoint. \( \overline{N P} \) and \( \overline{M P} \) \( \overline{M B} \) and \( \overline{A P} \) \( \overline{A B} \) and \( \overline{M P} \) \( \overline{A P} \) and \(…
GRADE 11 MATHEMATICS FEBRUARY 2024 TOTAL: 50 NAME: \( \qquad \) Quadratic Number patterns SECTION A: [25] Consider the following number pattern: \[ \begin{array}{ccccc} -1 ; & 2 ; & 9 ; & 20 ; & \ldots \end{array} \] Answer the following questions on the paper: 1. Determine the first and…
Question 4: \( (10+10=20 \) marks \( ) \) Let \( T_{1} \) and \( T_{2} \) be two unbiased estimators of the parameter \( \theta \). Assume that they have the same variance and they are independent. Two further estimators of \( \theta \) are: \( \mathrm{S}=\frac{T 1+3 T 2}{4} \) and \(…
Select the correct options. The coordinates of points \( A, B, C \), and \( D \) are respectively \( -5.25,-4,-2.75 \), and -1.5 . Select 2 choice(s) \( B \) is the midpoint of \( \overline{A C} \) \( B \) is the midpoint of \( \overline{C D} \) \( C \) is the midpoint of \( \overline{B D} \)…
HCCSC Bookmarks Cisco Wel In mes Monday, bigideasmath.com/MRL/public/app/\#/student/assessment;isPlayerWindow- power point the time scientific notation c. periodic table ma \#6 Listen Factor \( 12 a^{4}+8 a \). The factored polynomial is \( \square \) Previous 7 2 3 4 5 6 Overview
(g) \( 45+[25+\{5 \times 8+6-(9 \times 4+4)\}+\{7 \times(5 \times 4-18 \div 6-7)\}] \)
Hearning Cisco Well In mes HCCSC Bookmarks bigid BIG IDEAS MATH power point the time \#4 Jerica Zal Listen Factor \( 20 x^{3}+30 x^{2} \). The factored polynomial is \( \square \) Previous 1 2 3 4 5 6 Next
Select the correct answer from the drop-down menu. A line segment has endpoints \( M(4) \) and \( N(-6) \). The coordinates of the midpoint \( L \) of the line segment \( \overline{M N} \) is given by Select... \( \checkmark \) and is equal to Select...
HOCSC Bookmarks Cisco We: In mee Monday. Mond \#3 Listen Factor \( 3 y^{3}-9 y^{2} \). The factored polynomial is \( \square \) . Previous 1 2 3 4 5 6 Next
\( \therefore \) bigideasmath.com/MRL/public/app/\#/student/assessment;isPlayerWindow= HCCSC Bookmarks power point \( R \) the time scientific notation c... periodic table ma BIG IDEAS MATH \#2 i Listen Factor \( 6 d^{2}-21 d \). The factored polynomial is \( \square \)…
(b) Given that \( \frac{\left(24 z^{3}\right)^{2}}{27 \times 12 z}=2^{a} 3^{b} z^{c} \), evaluate \( a, b \) and \( c \).
Fill in the blank with the correct answer. Given two points \( M(-3,2) \) and \( N(3,-4) \) on a coordinate plane. Point \( L \) is on the directed segment \( M N \) that is \( \frac{5}{6} \) of the distance from \( M \) to \( N \). Then the coordinates of Lare ( \( \square \) , \( \square \)…
8. Translate the problem into a linear equation and solve it: If twice a number is subtracted from 13 , the result is 5 more than the number. What is the number? Equation Process
rit in the blank with the correct answer. Given two points \( M(-11,2) \) and \( N(3,-5) \) on a coordinate plane. Point \( L \) is on the directed segment \( M N \) that is \( \frac{6}{7} \) of the distance from \( M \) to \( N \). Then the coordinates of Lare ( \( \square \) , \( \square \)…
Choose the correct answer. Given two points \( M(-4,-1) \) and \( N(4,4) \) on a coordinate plane. Where is point \( P \) located if it is on the directed segment \( M N \) that is \( \frac{3}{5} \) of the distance from \( M \) to \( N \) ? \( (0.8,2) \) \( (-0.8,-2) \) \( (4.8,2) \) (2,0.8)
Select the correct answer. What is the equation of the line that passes through the point \( (6,11) \) and is parallel to the line with the following equation? \[ y=\frac{2}{3} x-5 \] A. \( y=\frac{2}{3} x+7 \) B. \( \quad y=-\frac{3}{2} x+17 \) C. \( y=-\frac{3}{2} x+5 \) D. \( y=\frac{2}{3}…
1. Kate took 5 hours to travel the 250 km from Auckland to Taupo. Her average speed for the \( 1^{\text {st }} 3 \) hours is \( v \mathrm{~km} / \mathrm{h} \) Her average speed for the last 2 hours was \( 10 \mathrm{~km} / \mathrm{h} \) less than for the \( 1^{\text {² }} 3 \) hours. Find her…
Select the best answer from each of the following questions. On the answer sheet provided, shade the box that correspon choice. Strictly no erasures allowed. 1. The roots of the quadratic equation are \( 1 / 3 \) and \( 3 / 2 \). What is the equation? a. \( 6 x^{2}+5 x+3=0 \) b. \( 6 x^{2}-7…
Work out the surface area of the give prism
A large circular clock face has a diameter of 2 feet. Using \( \pi \approx 3.14 \), find the approximate area of the clock face in square feet.
A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park. Each visitor chose one activity. The survey results are shown in the table. Preferred Activities \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Activity } & Number of…
Jad wants to go to the barbershop after the gym, but he wants to take shower at his house before. The barbershop is located at point \( B(4,5) \) and the gym is located at the point \( G(-3,-2) \). Where is the location of Jad's house if it is \( \frac{3}{7} \) the distance from \( G \) to \( B…
A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park. Each visitor chose one activity. The survey results are shown in the table. Preferred Activities \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Activity } & Number of…
6. A tent made of a cylinder and cone is shown in the figure, the height of the cylindrical part of the tent is 8 m , the height of the cone is 3 m and the radius of the base is 4 m . a) Find the cost of clothing to prepare the tent if the cost of cloth is Rs 50 per square meter. b) If 7 men…
HOTS 215 Cemiur Skilis Critical Thinking Raman is older than Sheeba by 3 years 6 months. Sheeba is younger than Priya by 1 year 5 months. If Priya is 10 years 2 months old, how old is Raman?
1. What are integers? 2. Fill in \( <,> \) or \( = \) a) -23 \( \qquad \) 7 \( -24 \) d) \( -(7) \) \( \qquad \) \( +(-7) \) g) -10 \( \qquad \) \( -(+10) \) j) \( (-3)(-4) \) \( \qquad \) \( (-2)(+6) \) b) -1 \( \qquad \) 0 0 e) \( -(-3) \) \( \qquad \) \( +(-3) \) h) \( (-2)^{2} \) \( \qquad…
grade: 0 Fill in the table. \begin{tabular}{|c|c|c|} \hline Sr. No. & Rule Method & Roster Method \\ \hline 1 & \( A=\{x: x \) is an odd number between 30 and 40\( \} \) & \\ \hline 2 & \( B=\{x: x \) is a vowel in the word 'LITERATE'\} & \\ \hline 3 & & \( C=\{1, i, n, e\} \) \\ \hline 4 & &…
15. \( y=\frac{2}{3} \sin x \)
Example 3: Let \( A \) be the set \( \{-1,0,1,2\} \). Which ordered pairs are in the following relations: \[ \begin{array}{l} R_{1}=\{(a, b) \mid a<b\} \\ R_{2}=\{(a, b) \mid a>b\} \\ R_{3}=\{(a, b) \mid a=b\} \end{array} \] 100\% 86 of 222
Express the following sets using rule method: 1. \( A=\{2,4,6,8,10,12,14\} \) 2. \( B=\{1,2,3,4,6,12\} \) 3. \( C= \) Set of multiples of 3 less than 20 4. \( D=\{h, 0, r, s, e\} \) 5. \( E=\{4\} \) \( 6 \mathrm{~F}= \) \{Tuesday, Thursday \( \} \) 7. \( G=\{a, e, i, 0, u\} \) 8. \( H=\{1,2,3\}…
Home Assignment - N 17.2 Unit 17: Sets Express the following sets using rule method: 1. \( A=\{2,4,6,8,10,12,14\} \) 2. \( B=\{1,2,3,4,6,12\} \) 3. \( C= \) Set of multiples of 3 less than 20 4. \( D=\{h, o, r, s, e\} \) 5. \( E=\{4\} \) 6. \( F=\{ \) Tuesday, Thursday \( \} \) 7. \( G=\{a, e,…
Q6 Turo sides of triangle are 3 cm and 6 c What can be the maximum integer lingth of the third side?
Use the quadratic formula to solve. Express your answer in simplest form. \[ v^{2}+2 v+4=3 \]
Use the quadratic formula to solve. Express your answer in simplest form. \[ 10 x^{2}-4 x+1=6 x^{2} \]
c) \( \frac{1}{(2+i)(\sqrt{3}-2 i)} \)
Use the quadratic formula to solve. Express your answer in simplest form. \[ 20 w^{2}+13 w+2=0 \]
Question 3 1 pts Identify the removable discontinuity in the function \( f(x)=\frac{2 x^{2}+5 x-3}{x^{2}+2 x-3} \). This occurs at \( x=-3 \) \( x=1 \) \( x=1 / 2 \) \( x=3 \) No new data to save. Last checked at 10:38am Submit Quiz Search
1. a. Given that \[ \int_{0}^{1} f(x) d x=-3, \int_{0}^{1} g(x) d x=3 \text { and } \int_{1}^{2} g(x) d x=-1 \] Evaluate the following i. \( \int_{0}^{1}\left(2 g(x)+\frac{f(x)}{3}\right) d x \) ii. \( \int_{0}^{2}\left(\frac{3}{4}-g(x)\right) d x \) (4 marks)
Express the following sets using roster method: 1. \( P=\{ \) Even number less than 10\( \} \) 2. \( \mathrm{Q}= \) \{Vowels in the word 'Chennai'\} 3. \( S=\{ \) Integers between -2 and 6\( \} \) 4. \( T= \) \{First two odd numbers \( \} \) 5. \( U=\{ \) Consonants in the word 'again'\} 6. \(…
Quiz: 3.7 Rational Functions (Homework Quiz) ure.com/courses/15944/quizzes/84644/take Use the graph to write an equation for the function. A. \( \frac{8(x-3)}{(x+3)(x-4)} \) B. \( \frac{-8(x+3)}{(x+3)(x-4)} \) Search
Question 1 1 pts Find the domain of the rational function \( f(x)=\frac{x^{2}+4}{x^{2}-2 x-8} \). Domain: all reall numbers where \( x \neq \) \( \square \) and \( \square \) List answer in increasing order.
4) Triangle \( A B C \) is isosceles with \( A B=A C=7.5 \) and \( B C=9 \mathrm{~cm} \). The height \( A D \) from \( A \) to \( B C \) is 6 cm . Find the area of triangle \( A B C \). What will be the height from \( C \) to \( A B \) i.e., \( C E \) ?
(a) Find the GCD of \( (20 ; 24) \). (b) Simplify \( \frac{20}{24} \).
Simplify \( \frac{15}{50} \)
b) Support is ONLY avallable from \( 8: 00 \) to \( 16: 00 \) on weekdays. QUESTION ONE 27 1.1 Identify and correct the misconceptions about fractions in the following situations. I you cannot insert fractions in your explanations, then write the fractions in words, e.g three eighths. 1.1.1…
3) \( x+2 \frac{8}{13}=11 \) \[ 210 \]
\[ \begin{array}{l} 2 x=180 \\ 2 x=14 \\ x=\frac{14}{2} \\ x=71 \end{array} \] 7) 8)
Triangle and its properties 1. Can a triangle be drawn with the following sides? (a) \( 4 \mathrm{~cm}, 4.5 \mathrm{~cm}, 6 \mathrm{~cm} \) (b) \( 2.1 \mathrm{~cm}, 3 \mathrm{~cm}, 5.2 \mathrm{~cm} \) (c) \( 4.2 \mathrm{~cm}, 4.3 \mathrm{~cm}, 8.5 \) (d) \( 8 \mathrm{~cm}, 7 \mathrm{~cm}, 13…
Lines \& Angles 1. In the following figure, the measure of \( \angle A \) is (a) \( 30^{\circ} \) (b) \( 45^{\circ} \) (c) \( 90^{\circ} \) (d) \( 60^{\circ} \) 2. Line \( \mathrm{a} \| \mathrm{b}, \mathrm{c} \) is a transversal then \( \mathrm{y}= \) ? (a) \( 90^{\circ} \) (b) \( 125^{\circ}…
4. BODMAS \( E \) D. A number with only two factors, itserf and one (1). 5. Prime Number E. Dictates the order of operations in D mathematical calculations. QUESTION TWO 31 2.1 Express the following ratios in their simplest form. 2.1 .144 cm to 1 m \[ \begin{array}{l} 2.1 .144 \mathrm{~cm}…
E. Solve these word problems. 1. How many bricks each 25 cm long and 5 cm high will be required for a wall 250 cm high and 125 cm long?
1. Determine whether the given set is a vector space. If not, give at least one axiom which does not satisfy. Unless otherwise stated, assume that the vector addition and scalar multiplication are the ordinary operations defined on the set. (a) The set of vectors \( \left\{(a, b) \in…
4) \[ \begin{array}{l} n+65+65=180 \\ n+130=180 \\ n=180-130 \\ n=50 \end{array} \]
Select the correct answer. A band is planning a concert at a local theater. The graph below shows the ticket sales per hour. Concert Ticket Sales What is the slope of the line shown in the graph? A. -400 B. -250 C. \( -2,000 \) D. \( -1,500 \)
E. Solve these word problems. 1. How many bricks each 25 cm long and 5 cm high will be required for a wall 250 cm high and 125 cm long?
In \( 17-20 \), find a rational number between the given numbers. 17. \( .7777 \ldots \) and \( .868686 \ldots \) 18. . \( 151551555 \ldots \) and \( .161661666 \ldots \) 19. \( 3.6464 \ldots \) and \( 3 . \overline{125} \) 20. \( 2.343343334 \ldots \) and \( 2.414114111 \ldots \)
Chelsea dog-sits for her neighbors as a part-time job. She charges \( \$ 12 \) a day plus an additional \( \$ 2.50 \) for each walk she takes with the dogs. Determine which graph and which equation represent the amount of money Chelsea eams in one day, \( A \), after taking w walks with the…
3) \[ \begin{array}{l} u+32=180 \\ u=180-32 \\ u=148 \end{array} \]
Which statement is true about the slope of the graphed line? A. The slope is negative. B. The slope is positive. C. The slope is zero. D. The slope is undefined.
Select the correct answer. Which equation describes the line graphed above? A. \( y=-4 x-5 \) B. \( y=-\frac{1}{5} x-4 \) c. \( y=-5 x-4 \) D. \( y=-4 x-\frac{1}{5} \)
Each statement describes a transformation of the graph of \( f(x)=x \). Which statement correctly describes the graph of \( g(x) \) if \( g(x)=-8 f(x) \) ? A. It is the graph of \( f(x) \) reflected about the \( x \)-axis and shrunk vertically by a factor of 8 . B. It is the graph of \( f(x) \)…
Which number best represents the slope of the graphed line? A. -5 B. \( -\frac{1}{5} \) C. \( \frac{1}{5} \)
3. \( f: R \rightarrow R, g: R \rightarrow R \) \[ \begin{array}{l} (f \circ g)(x+4)=f(2 x+7) \\ (g \circ f)(x-3)=g(4 x+1) \Rightarrow(f+g)(1)=? \end{array} \] A) 15 B) 16 C) 17 D) 18 E) 19
Solve these word problems. How many bricks each 25 cm long and 5 cm high will be required for a wall 250 cm high and 125 cm long? 72 cm of lace is used to edge a square piece of cloth. What is the length of each side of the cloth?
1. Prove that a function \( f: \mathbb{C} \rightarrow \mathbb{C} \) of the form \( f(x+i y)=u(x)+i v(y) \) is holomorphic if and only if \( f(z)=\lambda z+c, \lambda \in \mathbb{R} \) and \( c \in \mathbb{C} \). 2. Define three functions by \[ \alpha(z)=\sum_{n=0}^{\infty} \frac{z^{3 n}}{(3…
10. This table shows the number of students of a school. The total number of girls is 3837 . How many boys are there in the school? \begin{tabular}{|c|c|} \hline Class & \begin{tabular}{c} Number of students \\ (boys and girls) \end{tabular} \\ \hline 1 & 1632 \\ \hline 2 & 1581 \\ \hline 3 &…
1. Prove that a function \( f: \mathbb{C} \rightarrow \mathbb{C} \) of the form \( f(x+i y)=u(x)+i v(y) \) is holomorphic if and only if \( f(z)=\lambda z+c, \lambda \in \mathbb{R} \) and \( c \in \mathbb{C} \). 2. Define three functions by \[ \alpha(z)=\sum_{n=0}^{\infty} \frac{z^{3 n}}{(3…
1. Prove that a function \( f: \mathbb{C} \rightarrow \mathbb{C} \) of the form \( f(x+i y)=u(x)+i v(y) \) is holomorphic if and only if \( f(z)=\lambda z+c, \lambda \in \mathbb{R} \) and \( c \in \mathbb{C} \). 2. Define three functions by \[ \alpha(z)=\sum_{n=0}^{\infty} \frac{z^{3 n}}{(3…
Select the correct answer. The drama club is selling T-shirts and caps to raise money for a spring trip. The caps sell for \( \$ 5.00 \) each, and the T-shirts sell for \( \$ 10.00 \) each. The drama club needs to raise at least \( \$ 500.00 \) for the trip. The inequality that represents…
35. The sum of the squares of two consecutive even numbers is 340 . What are the numbers? A) 10 and 12 B) 12 and 14 (C) 14 and 16 D) 16 and 18
Select the correct answer. Consider the graph of \( f(x) \) given below. The function \( g(x) \) is a transformation of \( f(x) \). If \( g(x) \) has a \( y \)-intercept of -2 , which of the following functions could represent \( g(x) \) ? A. \( g(x)=f(x-5) \) B. \( \quad g(x)=f(x+2) \) C. \(…
Select the correct answer. Amber created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Amber drew? A. \( y=3 x+12 \) B. \( y=3 x+15 \) C. \( y=\frac{1}{3} x+12 \) D. \( y=\frac{1}{3} x+15 \)
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour. Concert Ticket Sales What is the slope of the line shown in the graph? A. -400 B. -250 C. \( -2,000 \) D. \( -1,500 \)
Select the correct answer. Consider the two functions given below. \[ \begin{array}{l} f(x)=-3 x-5 \\ g(x)=f(x)+9 \end{array} \] What is the \( y \)-intercept of \( g \) ? A. \( (0,14) \) B. \( (0,4) \) C. \( (0,-5) \) D. \( (0,9) \)
and Gita have? 10. This table shows the number of students of a school. The total number of girls is 3837 . How many boys are there in the school? \begin{tabular}{|c|c|} \hline Class & \begin{tabular}{c} Number of students \\ (boys and girls) \end{tabular} \\ \hline 1 & 1632 \\ \hline 2 & 1581…
\( \qquad \) If the length of a room is increased by \( 10 \% \) percent and the width of the room is increased by \( 30 \% \) percent, how many percent would the total area of the room increase by?
\[ z=20 \] R nombus 5) Perimeter \( =184 \mathrm{~m} \) side length = \( \qquad \) Eleme Supernova
coffees Celine goes out to buy an order of coffee for a party at her workplace. The coffees come in sizes of Tall, Grande, and Venti. Celine orders 8 Tall coffees and 3 Venti coffees. If \( \frac{2}{3} \) of her order are Grande coffees, how many coffees did she order in total? (Adapted from…
Q2) Arrange these measurements from smallest to largest. Q1) Find the perimete 1) \( 38 \mathrm{~cm}, 540 \mathrm{~mm}, 0.5 \mathrm{~m} \) 2) \( 0.02 \mathrm{~km}, 25 \mathrm{~m}, 160 \mathrm{~cm}, 2100 \mathrm{~mm} \) 1) \( 540 \mathrm{~mm}, 38 \mathrm{~cm}, 0.5 \mathrm{~m}…
10 The point \( A \) with coordinates \( (4, a, 0) \) lies on the line \( L \) with vector equation \[ \mathbf{r}=(10 \mathbf{i}+8 \mathbf{j}-12 \mathbf{k})+\lambda(\mathbf{i}-\mathbf{j}+b \mathbf{k}) \] where \( a \) and \( b \) are constants. a Find the values of \( a \) and \( b \). (3…
What is the absolute difference between \( 25 \% \) of \( \frac{5}{8} \) of 96 and \( \frac{2}{3} \) of \( 15 \% \) of 80 ? (Adapted from 2019-2020 MathCounts Handbook)
3. 3. Activity 3: Write the rational algebraic expression for each mathematical phrase. 1. The product of p and q divided by 3 . 2. The quotient of \( 4 x^{2} \) and \( 3 y \). 3. The reciprocal of the product of \( a \) and \( b \). 4. Four times the difference of a number and seven, divided…
3. \( \int \frac{d x}{x \ln ^{2} x} \);
Activity 2: Classify the different expressions into rational algebraic expression or not rational algebraic expression. Use the hint given in each box. Write the expressions into its appropriate column. \begin{tabular}{|c|} \hline\( \frac{x+4}{2 x+8} \) \\ \hline \begin{tabular}{c} Extreme…
1. Evaluate the following integrals by substitution: (a) \( \int 2 x e^{x^{2}} \mathrm{~d} x \) (b) \( \int 3 x^{2}\left(x^{3}+7\right)^{5} \mathrm{~d} x \) (c) \( \int \frac{x^{3}}{\sqrt{1-x^{4}}} \mathrm{~d} x \)
Name or Learner. \( \qquad \) Date. \( \qquad \) Grade Level/Section: \( \qquad \) Rational Algebraic Expressions Most Essential Learning Competency with code: Illustrates rational algebraic expressions. (M8AL-lc-1) Activity 1: Identify if the expression below is a rational algebraic…
Select the correct answer. Dylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Dylan drew? A. \( y=-\frac{1}{2} x+9 \) B. \( y=-\frac{1}{2} x+18 \) C. \( y=-2 x+9 \) D. \( y=-2 x+18 \)
15 of 28 Activity Sheet No. 6 Name of Learner: \( \qquad \) Date: \( \qquad \) Grade Level/Section: \( \qquad \) Rational Algebraic Expressions 豦 Most Essential Learning Competency with code: Illustrates rational algebraic expressions. (M8AL-Ic-1) Activity 1: Identify if the expression below…
Select the correct answer. Pat created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Pat drew? A. \( y=-5 x+3 \) B. \( y=-5 x+7 \) c. \( \quad y=-\frac{1}{5} x+3 \) D. \( \quad y=-\frac{1}{6} x+7 \)
Consider the two functions given below. \[ \begin{array}{l} f(x)=-3 x-5 \\ g(x)=f(x)+9 \end{array} \] What is the \( y \)-intercept of \( g \) ? A. \( (0,14) \) B. \( (0,4) \) C. \( (0,9) \) D. \( (0,-5) \)
C. Solve the following word problems. 1. About \( 67 \% \) of a person's body mass is water. If a man has a body mass of 80 kilograms, how many kilograms of his mass is water? \( P \) \( n= \) \( p= \) \( \qquad \) [53,00] 2. According to the National Statistics Office, \( 84 \% \) of the…
Consider the two functions given below. \[ \begin{array}{l} f(x)=-3 x-5 \\ g(x)=f(x)+9 \end{array} \] What is the \( y \)-intercept of \( g \) ? A. \( (0,14) \) B. \( (0,4) \) C. \( (0,9) \) D. \( (0,-5) \)
and Gita have? 10. This table shows the number of students of a school. The total number of girls is 3837 . How many boys are there in the school? \begin{tabular}{|c|c|} \hline Class & \begin{tabular}{c} Number of students \\ (boys and girls) \end{tabular} \\ \hline 1 & 1632 \\ \hline 2 & 1581…
27. \( f(x)=\frac{3 x+4}{5-4 x} \)
Sketch the following and indicate the coordinatios of the points where the curves cross the axes \[ y=(x+3)^{3} \] ii) \( y=(1-3)^{2} \quad \) iii \( y=-(x-1 / 2)^{3} \)
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of function \( f \) is shown on the coordinate plane. Graph the line representing function \( g \), if \( g \) is defined as shown below. \[ g(x)=2 f(x-1) \]
Jackie is selling smoothies at a school fair. She starts the day with \( \$ 15 \) in her cash box to provide change to her customers. If each smoothie costs \( \$ 3.75 \), which graph represents the balance of the cash box, \( y \), after Jackie sells \( x \) smoothies? A. No. of Smoothies…
\( \frac{3 y+2}{4}-\frac{y-6}{3}>0 \)
Select the correct answer. The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with \( x \) teaspoons of baking…
Select the correct answer. Each statement describes a transformation of the graph of \( f(x)=x \). Which statement correctly describes the graph of \( g(x) \) if \( g(x)=f(x)-3 \) ? A. It is the graph of \( f(x) \) translated 3 units down. B. It is the graph of \( f(x) \) translated 3 units…
Activity 2: Solve the following problems. 1. The product of one more than a number and 4 less than a number is 36 . What is the number? 2. The product of two consecutive integers is 110 . Find each integer. 3. The base of a triangle is 4 m longer than the height, find the height if the area of…
\[ \begin{array}{l} f\left(g\left(x^{4}+1\right)-2\right)=4 x^{8}+5 x^{4}+6 \\ g(-2)=5 \Rightarrow f(3)=? \end{array} \] A) 24 B) 25 C) 26 D) 27 E) 28
_earning Task 4. Direction. Solve the missing parts of Right Triangle using Trigonometric atios. 1. Triangle ACB is right-angled at C. If \( a=18.5 \mathrm{~cm} \) and \( \mathrm{b}=14.2 \mathrm{~cm} \), find \( \mathrm{c}, \angle \) and \( \angle B \).
A train 100 meters long is running at a speed of \( 72 \mathrm{~km} / \mathrm{h} \) as it crosses a bridge in 25 seconds. What is the length of the bridge? A) 400 meters B) 150 meters C) 300 meters D) 200 meters If the ratio of the ages of \( A \) and \( B \) is \( 4: 5 \). The difference…
9. The average of five consecutive odd numbers is 25 . What is the largest number? A) 27 B) 29 C) 31 D) 33
D) 256 9. The average of five consecutive odd numbers is 25 . What is the largest number? A) 27 B) 29 C) 31 D) 33 0. A train 100 meters long is running at a speed of \( 72 \mathrm{~km} / \mathrm{h} \) as it crosses a bridge in 25 seconds. What is the length of the bridge? A) 400 meters B) 150…
38. What is the value of \( 2^{3} \times 2^{2} \) ? A) 32 B) 64 C) 128 D) 256 39. The average of five consecutive odd numbers is 25 . What is the largest number? A) 27 B) 29 C) 31 D) 33 40. A train 100 meters long is running at a speed of \( 72 \mathrm{~km} / \mathrm{h} \) as it crosses a…
38. What is the value of \( 2^{3} \times 2^{2} \) ? A) 32 B) 64 C) 128 D) 256 39. The average of five consecutive odd numbers is 25 . What is the largest number? A) 27 B) 29 C) 31 D) 33 40. A train 100 meters long is running at a speed of \( 72 \mathrm{~km} / \mathrm{h} \) as it crosses a…
Solve the following continued inequality and graph the solution. Answer using interval notation. \[ -20 \leq 20 a-10 \leq 20 \] \( \square \) Clear All Draw: \( \square \) \( \square \) Honorlock Browser Guard" I app.honorlockcom is sharing your screen. \( 26^{\circ} F \) Search
Solve the following inequality and graph the solution. Answer using inequality notation. \[ -4 x+5>13 \] \( \square \) Clear All Draw: \( \square \) Next Question Honorlock Browser Guard
\( \left\{-\left(\frac{3}{7}-1\right) \cdot\left(2-\frac{1}{4}\right)=\left[3-\frac{1}{2}-\left(\frac{3}{5}-\frac{1}{2}\right)\right] \cdot\left(\frac{5}{3}-\frac{1}{4}-1\right)\right\} \cdot\left(\frac{3}{2}-7+\frac{1}{4}\right) \)
\[ \begin{array}{l} (f \circ g)(x)=3(g \circ f)(x)+x^{2} \\ g(x)=3 x+2 \Rightarrow f(-1)=? \end{array} \] A) -1 B) \( -\frac{7}{8} \) C) \( -\frac{3}{4} \) D) \( -\frac{5}{7} \) E) \( -\frac{3}{5} \)
25. A triangle \( A B C \) has sides \( a=6 \mathrm{~cm}, \mathrm{~b}= \) 8 cm , and \( c=9 \mathrm{~cm} \). Find the length of the median drawn from the vertex \( A \) to side BC. A. 7.04 cm C. \( \quad 7.97 \mathrm{~cm} \) B. 6.25 cm D. 5.88 cm
Activity Sheet No. 5 Name of Learner: \( \qquad \) Date: \( \qquad \) Grade Level/Section: \( \qquad \) Problems Involving Factors of Polynomials Most Essential Learning Competency: Solves problems involving factors of polynomials. (M8AL-la-b-2) Activity 1: Read and solve each problem…
Solve the equation: \[ \begin{array}{l} 4 x^{2}+4 x+1=-4 \\ x=\square \end{array} \] Next Question Honorlock Browser Guardw 2 in. of snow Tuesday
D. Example: Use the diagram above to answer questions \( 15-16 \) : 15. How many squares are there? A. 6 B-5 C. 4 D. 3 E. 2 16. How many triangles are there? A. 8 B. 12 C. 16 D. 20 E. 24 E. Example: A. \( (24,1) \) B. \( (2,12) \) C. \( (10,2) \) D. \( (6,4) \) E. \( (8,3) \) are number…
Activity Sheet No. 5 Name of Learner: \( \qquad \) Date: \( \qquad \) Grade Level/Section: \( \qquad \) Problems Involving Factors of Polynomials Most Essential Learning Competency: Solves problems involving factors of polynomials. (M8AL-la-b-2) Activity 1: Read and solve each problem…
If a day is sunny then there is a \( 62 \% \) chance that it will still be sunny the next day. On the other hand, if a day is not sunny (i.e. cloudy) then there is a \( 72 \% \) chance that we will not enjoy a sunny day on the next day. 1. What is the transition matrix if we set state 1 for…
25. A triangle \( A B C \) has sides \( a=6 \mathrm{~cm}, \mathrm{~b}= \) 8 cm , and \( c=9 \mathrm{~cm} \). Find the length of the median drawn from the vertex \( A \) to side \( B C \). A. \( \quad 7.04 \mathrm{~cm} \) C. 7.97 cm B. 6.25 cm D. 5.88 cm
Question 21 Solve the equation. \[ x^{2}+10 x+25=-18 \] Note: Answer in the form \( a \pm b i \sqrt{c} \). \[ x= \] \( \square \) Next Question Honorlock Browser Guardru Finance headline Why Trump's pl...
Fill in the blank with the correct answer. Given two points \( A(-4,9) \) and \( B(1,-2) \) on a coordinate plane. Point \( L \) is on the segment \( \overline{A B} \) such that the ratio of \( A L \) to \( L B \) is \( 2: 7 \) then the coordinates of \( L \) are ( \( \square \) \( \square \)…
100 points possible Answere Question 20 Solve. \[ \begin{array}{l} 3 x^{2}-6=0 \\ x=\square \end{array} \] Next Question Honorlock Browser Guardu ror-mun Video highlight
Question 19 Solve for \( y \) in : \( y^{2}-6 y+8=0 \) \[ y= \] \( \square \) \( \square \) Next Question Honorlock Browser Guardw Feels colder Now
\( -\frac{3}{4}-\left(-\frac{4}{5}\right) \)
Assignment: Find the Mean, Variance, and Standard Deviation of the given data. \begin{tabular}{|c|c|c|c|c|} \hline 54 & 35 & 38 & 29 & 28 \\ \hline 25 & 39 & 41 & 34 & 27 \\ \hline \end{tabular}
8. \( f(x)=\frac{x+1}{x} \Rightarrow f(2 x)= \) ? A) \( \frac{f(x)+1}{f(x)} \) B) \( \frac{f(x)-1}{f(x)} \) C) \( \frac{f(x)+1}{2} \) D) \( \frac{2}{1-f(x)} \) E) \( \frac{f(x)}{f(x)-1} \)
10. \( \lim _{x \rightarrow 0} \frac{1-\cos (x-3)}{x^{2}-5 x+6} \)
Question 13 Make the following conversion. Round your answer to 1 decimar. 60 gal to liters \( \square \) L Note: \( 1.06 \mathrm{qt}=1 \mathrm{~L} \) Next Question Honorlock Browser Guard 5earch (3) \( 23^{\circ} \mathrm{f} \) sunny
4. Find the limits ( 6 points +6 poin a) \( \lim _{x \rightarrow+\infty}\left(\frac{x}{x-2}\right)^{3-x} \)
4. Alice and Bernice had some money in the ratio \( 7: 3 \). After Alice had given Bernice some money, the ratio of the amount of money Alice had to the amount of money Bernice had became \( 7: 13 \). Bernice had \( \$ 204 \) more than Alice in the end. How much money did Alice give…
\[ \begin{array}{l} \text { +7, } \\ \text { 4. } 2 \end{array} \] tamet lowe: int 14 \( 34-4+4+5 \) \( 20.2+5+10= \)
Answered: 11/25 Question 12 \( \square \) Find this quotient. Enter your answer in scientific notation. \[ \frac{6.3 \times 10^{2}}{3 \times 10^{18}}= \] \( \square \) Next Quaration Honorlock Browser Guardm Search
Most Essential Learning Competency: Factors completely different types of polynomials (polynomials with common monomial factor, difference of two squares, sum and difference of two cubes, perfect square trinomials and general trinomials). (M8AL-la-b-1) Activity 1: Find the missing term of the…
nplete the statements for each of these rules: \[ \begin{array}{l} (-) \times(+)=? \\ (-) \div(-)=? \\ (+) \div(+)=? \\ (+)^{3}=? \end{array} \] b) \( (+) \times(?)=(+) \) c) \( \quad(?) \times(-)=(+) \) e) \( \quad(-) \times(?)=(-) \) f) \( (+) \div(-)= \) ? h) \( (?) \div(+)=(-) \) i) \(…
Tatile 5 Tatis 4 Hersen Chingemere Cerilia nurse Kangernes Q15. Bated on the activty, which organism ss closely rolated to humats? Dtf whirh orgarism is least relabed to humany? 1. Sady tabless 6 and 7 below. Table \( T \) Takist Bown Fintor \begin{tabular}{|c|c|} \hline Byoctruirs &…
Question 10. Write the following in terms of \( i \), and simplify as much as possible (in the form ai \( \sqrt{b} \) ). \[ \sqrt{-27}= \] \( \square \) Next Question Honorlock Browser Guardw
14. Find the area of a triangular flag that has a base of 50 cm and a height of 70 cm . [1.1]
\( 14 T=\frac{p}{r} \) \( p=0.51 \) correct to 2 significant figures. \( r=6.3 \) correct to 2 significant figures. Work out the upper bound for the value of \( T \) Show your working clearly.
62. Simplify \( i^{1997}+i^{1999} \), where \( i \) is an imaginary number. a) 0 b) i
Simplify: \[ \begin{array}{l} \frac{a^{2}-49}{a^{2}-36} \cdot \frac{a+6}{a-7}=\square \\ >\text { Next Question } \end{array} \] Honorlock Browser Guardm \( 23^{\circ} \mathrm{F} \) sunny
10. In the adjoining figure, name the following pairs of angles. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 Pairs or Lines \( 5.3,1 \)…
8. Sue makes the following transactions on her bank account which originally has R656 in it. First Sue withdraws R500, then she deposits R200 the following week. Sue then goes shopping and she buys clothes for R400. a) How much money does Sue now have in the bank? b) How much should Sue deposit…
Question 11 Give a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles. (a) Alternate interior angles: \( \angle \square \) and \( \angle \square \) (b) Corresponding angles: \( \quad<\square \) and \( \angle \square \) (c) Alternate…
52. Prove that \( \tan \emptyset+\cot \varnothing=\sec \emptyset \operatorname{cosec} \varnothing \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 33. Determine, using Pascal's triangle…
8. Sue makes the following transactions on her bark accourt which originally has Pgss in ic. First Sue withdraws R500, then she deposits R200 the following welk sue then goes shopping and she buys clothes for P400. a) How much money does sue now have in the bark? b) How much should Sue deposit…
13. Name the set consisting of the first five odd natural numbers using both roster notation and set-builder notation. [1.1]
Mc Graw Hill Angles of Triangles • Spiral Review Save and Exit Question 10 of 12 Next Question Question 10 POLYGONS A regular polygon has rotational symmetry with an order of 5 and a magnitude of \( 72^{\circ} \). What is the figure? Use the options listed…
Mc Graw Hill Angles of Triangles • Spiral Review Question 9 of 12 Question 9 LETTERS Examine each capital letter in the alphabet. Determine which letters have \( 180^{\circ} \) rotational symmetry about a point in the center of the letter. A) \( H, I, N, O, S, X, Z \) B) A, B, N, O, S, X,…
Question 6 Factor the trinomial: \[ 6 x^{2}+17 x+12= \] \( \square \) Next Question Honorlock Browser Guard \( 23^{\circ} \mathrm{F} \) Sunny
c. 1.5 km d. 12 km 51. Find the 2045 digit in the decimal \( 5647 / 9999 \) starting from decimal a. 4 c. 5 b. 6 d. 7
Mc Graw Hill Angles of Triangles • Spiral Review Save and Exit Question 8 of 12 Question 8 SYMMETRY Martha made the figure shown. How many lines of symmetry does the figure have? \( \square \) (2) Need help with this question? Get a Hint
Mc Graw Angles of Triangles • Spiral Review Save and Extt Question 6 of 12 Question 6 \( \times \) Incorrect 1 try left. Try once more Refer to the figure. a. State whether the figure has rotational symmetry. Select yes or no. \( \square \) No b. If yes, state the order and magnitude. If no,…
(7) Hani has a big tank full of water. He removes 12 liters of water from this tank, then 18 liters. There are 37 liters of water left. How much water was in the tank?
Question 5 of 12 Question 5 Incorrect 2 tries left. Please try again. Refer to the figure. a. State whether the figure has rotational symmetry. Select yes or no. \( \square \) Yes b. If yes, state the order and magnitude. If not select no rotational symmerry. \[ \text { order…
2. Multiply the result by the decimal part in the third step ( Position of \( \mathrm{a}_{3} \) ). \[ \begin{array}{c} 3(0.5): 15 \\ d \end{array} \] 3. Add the result in step 2. (1,5) to the ith Or smaller number. \[ 27+1,5=28,5 \] Therefore, the value of \( Q_{3}=28.5 \). ACTIVITY: 1. Find…
1. In the following figure, the measure of \( \angle A \) is (a) \( 30^{\circ} \) (b) \( 45^{\circ} \) (c) \( 90^{\circ} \) (d) \( 60^{\circ} \) 2. Line \( a \| b, c \) is a transversal then \( y= \) ? (a) \( 90^{\circ} \) (b) \( 125^{\circ} \) (c) \( 55^{\circ} \) (d) \( 180^{\circ} \) 3.…
7 Hani has a big tank full of water. He removes 12 liters of water from this tank, then 18 liters. There are 37 liters of water left. How much water was in the tank? \( \qquad \)
2. Multiply the result by the decimal part obtained in the second step (Position of Q1) \[ 4(0.5)=2 \] 3. Add the result in sted 2 to the 2nd or Smaller number. \[ 3+2=5 \] Therefore, the value of \( Q_{1}=5 \). (Solving for \( Q_{3} \) ) a. First, arrange the scores in ascending…
51. Starting from the identity \( \cos (A-B)=\cos A \cos B+\sin A \sin B \), use the basic properties of the trigonometric functions (such as \( \cos (-A)=-\cos A \) ) to prove the following (a) \( \cos (A+B)=\cos A \cos B-\sin A \sin B \) (b) \( \sin (A-B)=\sin A \cos B-\cos A \sin B \) (c) \(…
Example 3 , Find the first quartile ( \( Q_{1} \) ) and the third quartile \( \left(Q_{3}\right) \), given the scores of 9 students in their Mathematics activity using LINEAR INTER. POLATION. \[ 1,27,16,7,31,7,30,3,21 \] Solution: (Solving for Qi) 2. First, arrange the scores in ascending…
minwered: 2/25 Question 3 Factor completely. Next Question Honorlock Browser Guardw Sports headline Anxious Anfield.
q) \( 8+\sqrt[3]{125}-(-3)^{3} \) r) \( \quad 14-\frac{\sqrt{49}}{3-(-4)}+\sqrt[3]{27} \) s) \( -\frac{9}{-3} \times(-2)(3)+1 \) t) \( \quad-8-(-4)+(2)^{3} \) Determine the difference between the minimum and maximum temperatures if cities: \begin{tabular}{lllll} a) & Cape Town & \(…
6. Ziad and Alex planted tulip bulbs. Ziad says, "I planted 65 bulbs. What about you?" Alex replies, "I planted 12 more bulbs than you did." Complete this table. \begin{tabular}{|c|c|} \hline Ziad planted & \( \ldots \ldots \ldots . . \). \\ \hline Alex planted & \( \ldots \ldots \ldots . . .…
Question 2 Multiply: \[ (5 a-3)^{2}= \] \( \square \) Next Question Honorlock Browser Guard* 3 Tomorrow's low Near record
Incorrect 2 tries left. Please try again. Refer to the figure a. State whether the figure has rotational symmetry. Select yes ot ino. Sclect Cholce \( \sim \) b. If yes, state the order and magnitude. If not, select inp rotationaf symimem. order \( = \) Select Choice magnitude \( = \) Seloct…
Find the answers for each of these without using your calculator (Don't forget to use BEDMAS): a) \( 6-(-3)+\sqrt{25} \) b) \( -25+(-2)^{3} \) c) \( 5-(-5)-(2)^{3} \) d) \( -10+\sqrt{16}-3-(-12) \) e) \( \quad 3-4^{3}+(-6)+\sqrt{121} \) f) \( 25-\sqrt[3]{-8}-8+(-5) \) g) \( 78+5(-3)+(-15)(2)…
\begin{tabular}{l} Ma \\ Sraw \\ \hline \end{tabular} Angles of Triangles • Spiral Review Save and Exit Question 5 of 12 * Question 5 Refer to the figure. a. State whether the figure has rotational symmetry. Select yes or no. Select Choice b. If yes, state the order and magnitude. If not,…
Identify if the following is a monomial, binomial, or trinomial. Give the degree of the polynomial and name the leading coefficient. \[ 2 x+3-6 x^{3} \] The polynomial is a \( \square \) trinomial with Degree: \( \square \) and Leading coefficient: \( \square \) Next Question Honorlock…
Grade 8 Mathematics CAPS 1. What are integers? 2. Fill in \( <,> \) or \( = \) a) -23 \( \qquad \) \( -24 \) d) \( -(7) \) \( \qquad \) \( +(-7) \) g) -10 \( \qquad \) \( -(+10) \) j) \( (-3)(-4) \) \( \qquad \) \( (-2)(+6) \) b) -1 \( \qquad \) 0 e) \( -(-3) \) \( \qquad \) \( +(-3) \) h) \(…
5. Find the answers for each of these without using your calculator (Don't forget to us BEDMAS): a) \( 6-(-3)+\sqrt{25} \) b) \( -25+(-2)^{3} \) c) \( 5-(-5)-(2)^{3} \) d) \( -10+\sqrt{16}-3-(-12) \) e) \( \quad 3-4^{3}+(-6)+\sqrt{121} \) f) \( 25-\sqrt[3]{-8}-8+(-5) \) g) \( 78+5(-3)+(-15)(2)…
\( -5 \frac{1}{7}+4 \frac{4}{7}+2 \frac{6}{7}+\left(-1 \frac{2}{7}\right) \)
60. A bag contains 3 white and 5 red balls. If two balls are drawn at random, find the probability that both are white a) 0.375 b) 0.10714 c) 0.46667 d) 0.28 61. Determine the absolute value of the complex number \( 3+4 i \). a) 4 b) 5 c) 8 d) 6
\( \frac{1}{10}-\left(+\frac{b}{25}\right) \)
\( \begin{array}{l}+\left(-3 \frac{1}{2}\right) \\ 1 \frac{2}{3}+\left(-\frac{8}{17}\right)+5 \frac{1}{3}+\left(-\frac{9}{17}\right)\end{array} \)
Students at Lee Junior High were surveyed and asked about their favorite after school snack. The bar graph below shows the results of the survey. Which statement is supported by the graph? Favorite Snack Fifteen more students chose ice cream as chose cheese \& crackers as their favorite…
Sara's Smoothies keeps data on the number of smoothie sales on the first day of each month. The bar graph below show the sales data for the second half of the year. SMOOTHIE SALES 1. A total of 120 smoothies were sold on the first day of the most from July-December \( \square \) 2. The number…
Review Exercises: Chapter 1 The following review exercises are for practice. Answers are at the back of the book. If you need to, restudy the section indicated alongside the answer. Concept Reinforcement In each of Exercises 1-10, match the expression or equation with an equivalent expression…
\( \left.\mathbf{2}^{\text {o }}\right) \mathrm{F}=-3+(-14+b)-(a-13+b) \).
23. Determine the area of a sector of a circle if its perimeter is 19 inches and radius is 6 inches. A. \( 21 \mathrm{in}^{\wedge} 2 \) C. \( 24 \mathrm{in}^{\wedge} 2 \) B. \( 22.5 \mathrm{in}^{\wedge} 2 \) D. \( 25.5 \mathrm{in}^{\wedge} 2 \)
Worksheet 2: Integers Grade 8 Mathematics CAPS 1. What are integers? Remember the button on your SHARP EL535 makes your integers negative. 2. Fill in \( <,> \) or \( = \) a) -23 \( \qquad \) \( -24 \) b) -1 \( \qquad \) 0 d) \( -(7) \) \( \qquad \) \( +(-7) \) e) \( -(-3) \) \( \qquad \) \(…
Sixty people were asked about their favorite Halloween candy. Use this single bar graph to evaluate statements in \#2-4. "More people choose Sour Patch Kids and Candy Corn than Twix" True False
A cookie jar has 8 chocolate chip cookies, 2 oatmeal cookies, and 6 snickerdoodle cookies. If Oscar randomly chooses one cookie from the jar without looking, eats it, then randomly chooses another cookie from the jar, what is the probability that Oscar will choose 2 snickerdoodle cookies? \( 1…
Activity Sheet No. 3 Name of Learner: \( \qquad \) Date: \( \qquad \) Grade Level/Section: \( \qquad \) Factoring Sum and Difference of Two Cubes Most Essential Learning Competency: Factors completely different types of polynomials (polynomials with common monomial factor, difference of two…
Worksheet 2: Integers Grade 8 Mathematics CAPS R 1. What are integers? b) -1 \( \qquad \) 0 2. Fill in \( <,> \) or \( = \) a) -23 \( \qquad \) \( -24 \) d) -(7) \( \qquad \) \( +(-7) \) g) -10 \( \qquad \) \( -(+10) \) j) \( (-3)(-4) \) \( \qquad \) \( (-2)(+6) \) k) \( (-3)^{2} \) \( \qquad…
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