Module I: Math

SAT Practice Test 10

 In the figure, line mm is parallel to line n. What is the value of x?

1
Mark for Review

13

50

130

230

A line in the xy-plane has a slope of  and passes through the point (0,10). Which equation represents this line?

2
Mark for Review

5x = 15

- 5x + y = -25

The solution to the given system of equations is (x,y). What is the value of y?

3
Mark for Review

- 10

0

5

25

A random sample was selected from a population to estimate the proportion of the population that exercises regularly. Based on the sample, it is estimated that the proportion of the population that exercises regularly is 0.70, with an associated margin of error of 0.06. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that exercises regularly?

4
Mark for Review

 It is plausible that the proportion is between 0.64 and 0.76.

It is plausible that the proportion is less than 0.64.

The proportion is exactly 0.70.

It is plausible that the proportion is greater than 0.76.

y = 57

The graphs of the given equations in the xy-plane intersect at the point (a,b). What is a possible value of a?

5
Mark for Review

- 8

7

49

An angle has a measure of  radians. What is the measure of the angle, in degrees?

6
Mark for Review
Preview:

If 2x − 6 = 30, what is the positive value of x − 3?

7
Mark for Review
Preview:

Which expression is equivalent to cos 20°?

8
Mark for Review

tan 20°

tan 70°

sin 20°

sin 70° 

The total cost f(x), in dollars, for printing 150 pages in a print shop is given by f(x)=150x+20, where x is the cost per page, in dollars. What is the total cost for printing 150 pages when the cost per page is $0.4?

9
Mark for Review

$50 

$60

$80

$120

9x(x – 2) = 16

What is the sum of the solutions to the given equation?

10
Mark for Review
Preview:

Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively. The measure of Z is 50° and 2XY=RS. What is the measure of T?

11
Mark for Review

25°

50°

100°

At how many points do the graphs of the equations y=x+2 and y=2x intersect in the xy-plane?

12
Mark for Review

0

1

2

4

y = (x + 2)(x – 2)

y = - 6x - 13

Which ordered pair (x,y) is the solution to the given system of equations?

13
Mark for Review

(-3, 0)

(3, 0)

(-3, 5)

(3, 5)

A cyclist travels at a constant speed of 18 kilometers per hour. At this speed, what is the time, in hours, that it would take for the cyclist to travel 108 kilometers?

14
Mark for Review
Preview:

In the linear function f, f(0) = 7 and f(4) = 15. Which of the following equations defines the function f ?

15
Mark for Review

f(x)=2x+7

f(x)=2x+15

f(x)=4x

f(x)=4x+7

The amount of a certain bacteria in a solution doubles every minute. There are 500 bacteria in the solution at the start of an observation. Which represents the number of bacteria, y, in the solution m minutes after the start of the observation?

16
Mark for Review

3|1-x|+6|1-x|=27

What is the positive solution to the given equation?

17
Mark for Review
Preview:

Poll Results

Jane Dover

370

Mark Andrew

330

The table presents the findings of a poll. A total of 700 votes, chosen at random, were asked their candidate of choice for the next election. According to the poll, if 5,600 people cast their votes in the election, by how many votes would Jane Dover be expected to win?

18
Mark for Review

40

320

2,640

2,960

Which of the following values of x is a solution to the equation above?

19
Mark for Review

0

2

5

 

For the given equation ​, which equation correctly expresses z in terms of x and y?

20
Mark for Review

A project manager wants to buy identical office desks for each of the 25 team members. The total budget allocated for these desks is $5,000, including a 9% sales tax. Which of the following is the closest to the maximum possible price per desk, before sales tax, the project manager could pay based on this budget?

21
Mark for Review

$182.09

$183.48

$200

$218

In a music club of 32 members, a band is formed consisting of an equal number of boys and girls. If 25% of the boys in the club and 15% of the girls in the club are in the band, how many boys are there in the music club?

22
Mark for Review

12

15

17

25