Bluebook SAT Algebra Practice 2

Question 1

The function f is defined by f(x) = 5x - 8. If f(a) = 3a + 6, what is the value of a?

Accepted Answer

7

Answer

5a - 8 = 3a + 6 gives 2a = 14, so a = 7.

Question 2

A line in the xy-plane is perpendicular to the line 2x + 3y = 12 and passes through the point (4, -1). What is the y-intercept of this line?

Accepted Answer

-7

Answer

Perpendicular slope is 3/2; -1 = (3/2)(4) + b gives b = -7.

Question 3

A tank holds 500 liters of water and drains at a constant rate of 12 liters per minute. Which equation gives the volume V, in liters, remaining after t minutes, and after how many minutes is the tank empty?

Accepted Answer

V = 500 - 12t; about 41.7 minutes

Answer

Volume decreases from 500 by 12 each minute; 500/12 is about 41.7.

Question 4

If the system 3x + ky = 7 and 6x - 4y = 14 has infinitely many solutions, what is the value of k?

Accepted Answer

-2

Answer

Multiplying the first equation by 2 must yield the second, so 2k = -4 and k = -2.

Question 5

What is the solution set of the equation |2x - 5| = 9?

Accepted Answer

{-2, 7}

Answer

2x - 5 = 9 gives x = 7; 2x - 5 = -9 gives x = -2.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Algebra Practice 2