SAT Practice Test: Heart of Algebra

If 5x + 6 = 10, what is the value of 10x + 3?

• 4

• 9

• 11

• 20

Which of the following ordered pairs (x, y) satisfies the system of equations?

• (3, -2)

• (2, -2)

• (-2, 2)

• (-2, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?

• The company charges $12 per hour for each landscaper.

• A minimum of 12 landscapers will work on each job.

• The price of every job increases by $12 every hour

• Each landscaper works 12 hours a day.

In the xy plane shown, line l is parallel to line k. What is the value of p?

• 4

• 5

• 8

• 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

nA = 360

The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50 degrees, what is the greatest number of sides it can have?

• 5

• 6

• 7

• 8

The graph of a line in the xy plane has slope 2 and contains the point (1, 8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b?

• 4

• 3

• -1

• -4

A musician has a new song available for

downloading or streaming. The musician earns

$0.09 each time the song is downloaded and $0.002

each time the song is streamed. Which of the

following expressions represents the amount, in

dollars, that the musician earns if the song is

downloaded d times and streamed s times?

• 0.002d + 0.09s

• 0.002d − 0.09s

• 0.09d + 0.002s

• 0.09d − 0.002s

l = 24 + 3.5m

One end of a spring is attached to a ceiling. When an

object of mass m kilograms is attached to the other

end of the spring, the spring stretches to a length of

l centimeters as shown in the equation above. What

is m when l is 73 ?

• 14

• 27.7

• 73

• 279.5

When 4 times the number x is added to 12, the

result is 8. What number results when 2 times x is

added to 7 ?

• -1

• 5

• 8

• 9

In a video game, each player starts the game with

k points and loses 2 points each time a task is not

completed. If a player who gains no additional

points and fails to complete 100 tasks has a score of

200 points, what is the value of k ?

• 0

• 150

• 250

• 400