SOL Algebra I Practice

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

Question 2

What is the slope of the line represented by the equation y = 4x - 9?

Accepted Answer

4

Answer

In slope-intercept form y = mx + b, m is the slope, so the slope here is 4.

Question 3

Simplify the expression: 5(2x - 3) + 4x

Accepted Answer

14x - 15

Answer

Distribute 5 to get 10x - 15, then combine with 4x to get 14x - 15.

Question 4

Which of the following is a factor of x^2 - 9?

Accepted Answer

x - 3

Answer

x^2 - 9 is a difference of squares, factoring to (x - 3)(x + 3).

Question 5

A system of equations is y = 2x + 1 and y = -x + 7. What is the solution?

Accepted Answer

(2, 5)

Answer

Setting 2x + 1 = -x + 7 gives 3x = 6, so x = 2, and y = 2(2) + 1 = 5.

SOL Practice Test