Math Linear Equations, Inequalities, and Systems

Question 1

Solve for x: 3(x − 2) + 4 = 2x + 7

Accepted Answer

x = 9

Answer

3x − 6 + 4 = 2x + 7 → 3x − 2 = 2x + 7 → x = 9.

Question 2

Which value of x satisfies the inequality 2x − 5 > 3?

Accepted Answer

x = 5

Answer

2x − 5 > 3 → 2x > 8 → x > 4. Only x = 5 is greater than 4.

Question 3

Solve the system: x + y = 10 and 2x − y = 5

Accepted Answer

x = 5, y = 5

Answer

Add the equations: 3x = 15 → x = 5. Substitute: 5 + y = 10 → y = 5.

Question 4

What is the slope of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2.

Question 5

A line has equation y = −3x + 7. What is the y-intercept?

Accepted Answer

7

Answer

In slope-intercept form y = mx + b, b is the y-intercept. Here b = 7.

Math Practice Test