# SAT Prep

## Educators

AW

### Problem 11

$$-2 x+3 y=6$$
In the $x y$ -plane, the graph of which of the following
equations is perpendicular to the graph of the
equation above?
$$\begin{array}{l}{\text { A) } 3 x+2 y=6} \\ {\text { B) } 3 x+4 y=6} \\ {\text { C) } 2 x+4 y=6} \\ {\text { D) } 2 x+6 y=3}\end{array}$$

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### Math Test - Calculator - Problem 1

According to the line graph above, between which
two consecutive years was there the greatest change
in the number of $3-\mathrm{D}$ movies released?
$$\begin{array}{l}{\text { A) } 2003-2004} \\ {\text { B) } 2008-2009} \\ {\text { C) } 2009-2010} \\ {\text { D) } 2010-2011}\end{array}$$

Lily A.

### Math Test - Calculator - Problem 2

Some values of the linear function $f$ are shown in the
table above. Which of the following defines $f ?$
$$\begin{array}{l}{\text { A) } f(x)=2 x+3} \\ {\text { B) } f(x)=3 x+2} \\ {\text { C) } f(x)=4 x+1} \\ {\text { D) } f(x)=5 x}\end{array}$$

Lily A.

### Math Test - Calculator - Problem 3

To make a bakery's signature chocolate muffins, a
baker needs 2.5 ounces of chocolate for each muffin.
How many pounds of chocolate are needed to make
48 signature chocolate muffins?
$(1$ pound $=16$ ounces $)$
$$\begin{array}{cc}{\text { A) }} & {7.5} \\ {\text { B) }} & {10} \\ {\text { C) }} & {50.5} \\ {\text { D) }} & {120}\end{array}$$

Lily A.

### Math Test - Calculator - Problem 4

If $3(c+d)=5,$ what is the value of $c+d ?$
$$\begin{array}{l}{\text { A) } \frac{3}{5}} \\ {\text { B) } \frac{5}{3}} \\ {\text { C) } 3} \\ {\text { D) } 5}\end{array}$$

Lily A.

### Math Test - Calculator - Problem 5

The weight of an object on Venus is approximately
$\frac{9}{10}$ of its weight on Earth. The weight of an object
on Jupiter is approximately $\frac{23}{10}$ of its weight on
Earth. If an object weighs 100 pounds on Earth,
approximately how many more pounds on Earth,
weigh on Jupiter than it weighs on Venus?
$$\begin{array}{l}{\text { A) } 90} \\ {\text { B) } 111} \\ {\text { C) } 140} \\ {\text { D) } 230}\end{array}$$

AW
Aaron W.

### Math Test - Calculator - Problem 6

An online bookstore sells novels and magazines.
Each novel sells for $\$ 4,$and each magazine sells for$\$1 .$ If Sadie purchased a total of 11 novels and
magazines that have a combined selling price of $\$ 20,$how many novels did she purchase? $$\begin{array}{l}{\text { A) } 2} \\ {\text { B) } 3} \\ {\text { C) } 4} \\ {\text { D) } 5}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 7 The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of$n$businesses per year. There were$b$businesses in the DBA at the beginning of this year. Which function best models the total number of businesses,$y,$the DBA plans to have as member$x$years from now? $$\begin{array}{l}{\text { A) } y=n x+b} \\ {\text { B) } y=n x-b} \\ {\text { C) } y=b(n)^{x}} \\ {\text { D) } y=n(b)^{x}}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 8 Which of the following is an equivalent form of$(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$$$\begin{array}{l}{\text { A) }-2.2 x^{2}+1.6} \\ {\text { B) }-2.2 x^{2}+11.2} \\ {\text { C) }-2.95 x^{2}-7.2 x+12.16} \\ {\text { D) }-2.95 x^{2}-7.2 x+0.64}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 9 In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.) $$\begin{array}{ll}{\text { A) }} & {1.00} \\ {\text { B) }} & {1.25} \\ {\text { C) }} & {1.50} \\ {\text { D) }} & {1.75}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 10 The density$d$of an object is found by dividing the mass$m$of the object by its volume$V .$Which of the following equations gives the mass$m$in terms of$d$and$V ?$$$\begin{array}{l}{\text { A) } m=d V} \\ {\text { B) } m=\frac{d}{V}} \\ {\text { C) } m=\frac{V}{d}} \\ {\text { D) } m=V+d}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 11 $$-2 x+3 y=6$$ In the$x y$-plane, the graph of which of the following equations is perpendicular to the graph of the equation above? $$\begin{array}{l}{\text { A) } 3 x+2 y=6} \\ {\text { B) } 3 x+4 y=6} \\ {\text { C) } 2 x+4 y=6} \\ {\text { D) } 2 x+6 y=3}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 12 $$\begin{array}{c}{\frac{1}{2} y=4} \\ {x-\frac{1}{2} y=2}\end{array}$$ The system of equations above has solution$(x, y) .$What is the value of$x ?$$$\begin{array}{c}{\text { A) } 3} \\ {\text { B) } \frac{7}{2}} \\ {\text { C) } 4} \\ {\text { D) } 6}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 13 $$\begin{array}{c}{y \leq 3 x+1} \\ {x-y>1}\end{array}$$ Which of the following ordered pairs$(x, y)$satisfies the system of inequalities above? $$\begin{array}{l}{\text { A) }(-2,-1)} \\ {\text { B) }(-1,3)} \\ {\text { C) }(1,5)} \\ {\text { D) }(2,-1)}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 14 In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated professional activity is research? $$\begin{array}{l}{\text { A) } 0.122} \\ {\text { B) } 0.196} \\ {\text { C) } 0.318} \\ {\text { D) } 0.379}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 15 A polling agency recently surveyed$1,000$adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true? $$\begin{array}{l}{\text { I. Of all adults in the city, } 78 \text { percent are }} \\ {\text { satisfied with the quality of air in the city. }} \\ {\text { II. If another } 1,000 \text { adults selected at random }} \\ {\text { from the city were surveyed, } 78 \text { percent of }} \\ {\text { them would report they are satisfied with }} \\ {\text { the quality of air in the city. }}\\{\text { III. If } 1,000 \text { adults selected at random from a }} \\ {\text { different city were surveyed, } 78 \text { percent of }} \\ {\text { them would report they are satisfied with }} \\ {\text { the quality of air in the city. }}\end{array}$$ $$\begin{array}{l}{\text { A) } \text { None }} \\ {\text { B) II only }} \\ {\text { C) I and II only }} \\ {\text { D) I and III only }}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 16 According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches? $$\begin{array}{l}{\text { A) } 24 \text { years }} \\ {\text { B) } 36 \text { years }} \\ {\text { C) } 40 \text { years }} \\ {\text { D) } 48 \text { years }}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 17 The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree? $$\begin{array}{l}{\text { A) Red maple }} \\ {\text { B) Cottonwood }} \\ {\text { C) White birch }} \\ {\text { D) Shagbark hickory }}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 18 If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? ( 1 foot$=12$inches) $$\begin{array}{ll}{\text { A) }} & {1.0} \\ {\text { B) }} & {1.2} \\ {\text { C) }} & {1.3} \\ {\text { D) }} & {1.4}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 19 In$\triangle A B C$above, what is the length of$\overline{A D} ?$$$\begin{array}{l}{\text { A) } 4} \\ {\text { B) } 6} \\ {\text { C) } 6 \sqrt{2}} \\ {\text { D) } 6 \sqrt{3}}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 20 The figure on the left above shows a wheel with a mark on its rim. The wheel is rolling on the ground at a constant rate along a level straight path from a starting point to an ending point. The graph of$y=d(t)$on the right could represent which of the following as a function of time from when the wheel began to roll? $$\begin{array}{l}{\text { A) The speed at which the wheel is rolling }} \\ {\text { B) The distance of the wheel from its starting point }} \\ {\text { C) The distance of the mark on the rim from the }} \\ {\text { center of the wheel }} \\ {\text { D) The distance of the mark on the rim from the }} \\ {\text { ground }}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 21 $$\frac{a-b}{a}=c$$ In the equation above, if$a$is negative and$b$is positive, which of the following must be true? $$\begin{array}{l}{\text { A) } c>1} \\ {\text { B) } c=1} \\ {\text { C) } c=-1} \\ {\text { D) } c<-1}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 22 In State$\mathrm{X},$Mr. Camp's eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth-grade class size in the state is 26. If the students in Mr. Camp's class are representative of students in the state's eighth-grade classes and there are$1,800$eighth-grade classes in the state, which of the following best estimates the number of eighth-grade students in the state who have fewer than two siblings? $$\begin{array}{l}{\text { A) } 16,200} \\ {\text { B) } 23,400} \\ {\text { C) } 30,600} \\ {\text { D) } 46,800}\end{array}$$ Lily A. Numerade Educator ### Math Test - Calculator - Problem 23 The relationship between the monthly rental price$r,$in dollars, and the property's purchase price$p,in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship? \begin{aligned} \text { A) } & r(p)=2.5 p-870 \\ \text { B) } & r(p)=5 p+165 \\ \text { C) } & r(p)=6.5 p+440 \\ \text { D) } & r(p)=7.5 p-10 \end{aligned} Lily A. Numerade Educator ### Math Test - Calculator - Problem 24 Townsend Realty purchased the Glenview Street property and received a 40\%$discount off the original price along with an additional 20$\%\$ off the discounted
price for purchasing the property in cash. Which of
the following best approximates the original price, in
dollars, of the Glenview Street property?
$$\begin{array}{l}{\text { A) } \ 350,000} \\ {\text { B) } \ 291,700} \\ {\text { C) } \ 233,300} \\ {\text { D) } \ 175,000}\end{array}$$

Lily A.