Module II: Math

SAT Practice Test 10

The function g is defined by g(x) = 8x − 10. What is the value of g(x) when x = 5?

1
Mark for Review

30

40

50

20

What is the negative solution to the given equation?

2
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- 2

- 63

- 12

- 18

The area, in square meters, of a rectangular garden can be represented by the expression 6x, where x is the length, in meters, of the garden. Which expression represents the width, in meters, of the garden?

3
Mark for Review

6x

  x

  6

  

If 4 – x = 3, what is the value of 16 − 4x?

4
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Preview:

The number y is 20 more than one-fourth of x. Which equation represents this relationship?

5
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Of 450,000 bulbs, 360,000 are LED. What percentage of the bulbs are LED?

6
Mark for Review

75%

80%

85%

90%

A certain radioactive substance has a half-life of 5 years. If the initial amount of the substance is 100 grams, the remaining amount, in grams, after t years can be represented by an exponential function R. Which equation could define R? (The half-life is the period of time required for an amount of the substance to decrease to one-half of that amount.)

7
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In the linear function g, g(0) = 3 and g(1) = 5. Which equation defines g?

8
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g(x)=3x+3

g(x)=2x+3

g(x)=3x

g(x)=2x+1

A right-angled triangle has one leg that measures 8 centimeters and a hypotenuse that measures 10 centimeters. What is the length, in centimeters, of the other leg?

9
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Preview:

A water pump fills a swimming pool at a constant rate of 300 liters per minute. At what rate, in liters per second, does the water pump fill the pool?

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Preview:

A 3D printer can print either small widgets or large widgets, one at a time, for a total of 420 minutes each day. It takes the 3D printer 7 minutes to print a small widget or 14 minutes to print a large widget. Which equation represents the possible number of small widgets, x, and large widgets, y, the printer can make each day?

11
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The given equation relates the distinct positive integers q, r, and s. Which equation correctly expresses q in terms of r and s?

12
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13
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0

Dave is saving for a new bike by earning $16 per hour at his job. What is the minimum number of hours he must work to earn at least $150 for the bike?

14
Mark for Review

8

10

12

15

A limo service charges an initial fare of $5.00 plus $0.50 for each  mile traveled. If the total fee for a journey is $75.00, what is the distance traveled, in miles?

15
Mark for Review

5

25

35

55

Data set A and data set B each consist of 23 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?

16
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The mean of data set A is greater than the mean of data set B.

The mean of data set A is less than the mean of data set B.

There is not enough information to compare the means of the data sets.

The mean of data set Ais equal to the mean of data set B.

Which of the following is equivalent to the expression above?

17
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On its first day, a bookstore had an inventory of 2,000 books. Each month thereafter, the bookstore received 30 new books, and sold an average of 28 books. Which of the following equations best represents the book inventory, b, at the store t months after the first day?

18
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A cube has a volume of 1,000 cubic units. What is the surface area, in square units, of the cube?

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Preview:

The function f is defined by  . What is one x-intercept of the graph of y=f(x) in the xy-plane?

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(4, 0)

The graph of 3x − 2y = 6 in the xy-plane has an x-intercept at (a,0) and a y-intercept at (0,b), where a and b are constants. What is the value of a+b ?

21
Mark for Review

-3

-1

2

5

A rectangular garden has a length of (w − 19) meters and a width of w meters. If the area of the garden is 42 square meters, what is the value of w?

22
Mark for Review

2

23

22

21