Free SAT Math Linear Equations and Systems Practice Test

Question 1

If 3x + 7 = 22, what is the value of x?

Accepted Answer

5

Answer

Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5.

Question 2

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (y2 - y1)/(x2 - x1) = (13 - 5)/(6 - 2) = 8/4 = 2.

Question 3

Which of the following is the equation of a line with slope -3 and y-intercept 4?

Accepted Answer

y = -3x + 4

Answer

Slope-intercept form is y = mx + b where m is slope and b is y-intercept. So y = -3x + 4.

Question 4

Solve the system: 2x + y = 10 and x - y = 2.

Accepted Answer

x = 4, y = 2

Answer

Add the equations: 3x = 12, so x = 4. Substitute into x - y = 2: 4 - y = 2, so y = 2.

Question 5

A line passes through (0, -2) and has slope 1/2. What is its equation?

Accepted Answer

y = (1/2)x - 2

Answer

Using slope-intercept form y = mx + b with m = 1/2 and b = -2: y = (1/2)x - 2.

SAT Practice Test