🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning # Prealgebra ## Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price ## Chapter 9 ## Real Numbers and Right Triangles ## Educators ### Problem 1 Find each square root. $$\sqrt{25}$$ Julie S. Numerade Educator ### Problem 2 Find each square root. $$-\sqrt{64}$$ Julie S. Numerade Educator ### Problem 3 Find each square root$\pm \sqrt{81}$ Julie S. Numerade Educator ### Problem 4 Find each square root.$\sqrt{25}$ Julie S. Numerade Educator ### Problem 5 Use a calculator to find each square root to the nearest tenth.$-\sqrt{32}$ Julie S. Numerade Educator ### Problem 6 Estimate each square root to the nearest integer. Do not use a calculator. $$\sqrt{66}$$ Julie S. Numerade Educator ### Problem 7 Estimate each square root to the nearest integer. Do not use a calculator. $$-\sqrt{103}$$ Julie S. Numerade Educator ### Problem 8 A baseball diamond is actually a square with an area of 8100 square feet. The Cincinnati Reds cover their diamond with a tarp to protect it from the rain. The sides are all the same length. How long is the tarp on each side? Julie S. Numerade Educator ### Problem 9 Find each square root. $$\sqrt{16}$$ Julie S. Numerade Educator ### Problem 10 Find each square root. $$\sqrt{49}$$ Julie S. Numerade Educator ### Problem 11 Find each square root. $$-\sqrt{1}$$ Julie S. Numerade Educator ### Problem 12 Find each square root. $$-\sqrt{25}$$ Julie S. Numerade Educator ### Problem 13 Find each square root. $$\pm \sqrt{100}$$ Julie S. Numerade Educator ### Problem 14 Find each square root. $$\pm \sqrt{196}$$ Julie S. Numerade Educator ### Problem 15 Use a calculator to find each square root to the nearest tenth. $$\sqrt{30}$$ Julie S. Numerade Educator ### Problem 16 Use a calculator to find each square root to the nearest tenth. $$\sqrt{56}$$ Julie S. Numerade Educator ### Problem 17 Use a calculator to find each square root to the nearest tenth. $$-\sqrt{43}$$ Julie S. Numerade Educator ### Problem 18 Use a calculator to find each square root to the nearest tenth. $$-\sqrt{86}$$ Julie S. Numerade Educator ### Problem 19 Use a calculator to find each square root to the nearest tenth. $$\sqrt{180}$$ Julie S. Numerade Educator ### Problem 20 Use a calculator to find each square root to the nearest tenth. $$\sqrt{250}$$ Julie S. Numerade Educator ### Problem 21 Use a calculator to find each square root to the nearest tenth. $$\pm \sqrt{0.75}$$ Julie S. Numerade Educator ### Problem 22 Use a calculator to find each square root to the nearest tenth. $$\pm \sqrt{3.05}$$ Julie S. Numerade Educator ### Problem 23 Estimate each square root to the nearest integer. Do not use a calculator. $$\sqrt{79}$$ Julie S. Numerade Educator ### Problem 24 Estimate each square root to the nearest integer. Do not use a calculator. $$\sqrt{95}$$ Julie S. Numerade Educator ### Problem 25 Estimate each square root to the nearest integer. Do not use a calculator. $$-\sqrt{54}$$ Julie S. Numerade Educator ### Problem 26 Estimate each square root to the nearest integer. Do not use a calculator. $$-\sqrt{125}$$ Julie S. Numerade Educator ### Problem 27 Estimate each square root to the nearest integer. Do not use a calculator. $$\pm \sqrt{200}$$ Julie S. Numerade Educator ### Problem 28 Estimate each square root to the nearest integer. Do not use a calculator. $$\pm \sqrt{396}$$ Julie S. Numerade Educator ### Problem 29 Use the table shown and refer to Example 4 on page 466. (TABLE CAN NOT COPY) On a clear day, estimate how far a person can see from the top hill of the Vortex. Then calculate the distance. Julie S. Numerade Educator ### Problem 30 Use the table shown and refer to Example 4 on page 466. (TABLE CAN NOT COPY) Estimate how far a person can see on a clear day from the top hill of the Titan. Then calculate the distance. Julie S. Numerade Educator ### Problem 31 Use the Internet or another source to find the tallest roller coaster in the world. How far would you be able to see from the top of the roller coaster on a clear day? Julie S. Numerade Educator ### Problem 32 The number$\sqrt{54}$lies between which two consecutive whole numbers? Julie S. Numerade Educator ### Problem 33 Which is greater,$\sqrt{65}$or$9 ?$Explain your reasoning. Julie S. Numerade Educator ### Problem 34 Which is less, 11 or$\sqrt{120} ?$Explain your reasoning. Julie S. Numerade Educator ### Problem 35 Find a square root that lies between 17 and 18 . Julie S. Numerade Educator ### Problem 36 Order$\sqrt{77},-8,-\sqrt{83}, 9,-10,-\sqrt{76}, \sqrt{65}$from least to greatest. Julie S. Numerade Educator ### Problem 37 The area of each square is given. Estimate the length of a side of each square to the nearest tenth. Then find its approximate perimeter. (FIGURE CAN NOT COPY) Julie S. Numerade Educator ### Problem 38 The area of each square is given. Estimate the length of a side of each square to the nearest tenth. Then find its approximate perimeter. (FIGURE CAN NOT COPY) Julie S. Numerade Educator ### Problem 39 The area of each square is given. Estimate the length of a side of each square to the nearest tenth. Then find its approximate perimeter. (FIGURE CAN NOT COPY) Julie S. Numerade Educator ### Problem 40 Find the negative square root of 1000 to the nearest tenth. Julie S. Numerade Educator ### Problem 41 If$x=\sqrt{5000},$what is the value of$x$to the nearest tenth? Julie S. Numerade Educator ### Problem 42 City code requires that a reception hall must allow 4 square feet for each person on the dance floor. The reception hall wants to have a dance floor that is a square and that is large enough for 100 people at a time. What is the length of each side of the dance floor? Check back soon! ### Problem 43 Estimate the perimeter of a square that has an area of 2080 square meters. Then calculate the perimeter. Round to the nearest tenth. Julie S. Numerade Educator ### Problem 44 Write a number for which the negative square root is not an integer. Then graph the negative square root. Julie S. Numerade Educator ### Problem 45 What are the possibilities for the ending digit of a number that has a whole number square root? Explain your reasoning. Julie S. Numerade Educator ### Problem 46 Use the following information. Squaring a number and finding the square root of a number are inverse operations. That is, one operation undoes the other operation. Use inverse operations to evaluate each expression. $$(\sqrt{64})^{2}$$ Julie S. Numerade Educator ### Problem 47 Use the following information. Squaring a number and finding the square root of a number are inverse operations. That is, one operation undoes the other operation. Use inverse operations to evaluate each expression. $$(\sqrt{100})^{2}$$ Julie S. Numerade Educator ### Problem 48 Use the following information. Squaring a number and finding the square root of a number are inverse operations. That is, one operation undoes the other operation. Use inverse operations to evaluate each expression. $$(\sqrt{169})^{2}$$ Julie S. Numerade Educator ### Problem 49 Use the pattern from Exercises$46-48$to find$(\sqrt{a})^{2}$if$a \geq 0$. Julie S. Numerade Educator ### Problem 50 How are square roots related to factors? Give an example of a number between 100 and 200 whose square root is a whole number and an example of a number between 100 and 200 whose square root is a decimal that does not terminate. Julie S. Numerade Educator ### Problem 51 Which point on the number line best represents$\sqrt{210 ?}$(FIGURE CAN NOT COPY) $$\begin{array}{llll} \text { A } A & \text { B } B & \text { C } C & \text { D } D \end{array}$$ Julie S. Numerade Educator ### Problem 52 The area of each square is 25 square units. Find the perimeter of the figure. (FIGURE CAN NOT COPY) F 60 units H 100 units G 75 units J 125 units Julie S. Numerade Educator ### Problem 53 Solve each inequality. $$4 y>24$$ Julie S. Numerade Educator ### Problem 54 Solve each inequality. $$\frac{a}{0.3}<-7$$ Julie S. Numerade Educator ### Problem 55 Solve each inequality. $$18 \geq-2 k$$ Julie S. Numerade Educator ### Problem 56 Solve each inequality. $$2 x+5<17$$ Julie S. Numerade Educator ### Problem 57 Solve each inequality. $$2 t-3 \geq 1.4 t+6$$ Julie S. Numerade Educator ### Problem 58 Solve each inequality. $$12 r-4>7+12 r$$ Julie S. Numerade Educator ### Problem 59 Ice cream sales increase as the temperature outside increases. Describe the slope of a line of fit that represents this situation. Julie S. Numerade Educator ### Problem 60 Determine whether the relation$(4,-1),(3,5),(-4,1),(4,2)$is a function. Julie S. Numerade Educator ### Problem 61 Martin drives 6 hours at an average rate of 65 miles per hour. What is the distance Martin travels? Use$d=r t\$. Julie S.

### Problem 62

Explain why each number is a rational number.
$$\frac{10}{2}$$ Julie S.

### Problem 63

Explain why each number is a rational number.
$$1 \frac{1}{2}$$ Julie S.

### Problem 64

Explain why each number is a rational number.
$$0.75$$ Julie S.

### Problem 65

Explain why each number is a rational number.
$$0 . \overline{8}$$ Julie S.

### Problem 66

Explain why each number is a rational number.
$$6$$ Julie S.
$$-7$$ 