Free GED Math Algebraic Thinking Advanced Practice Test

Question 1

Solve for x: 4x - 3 = 2x + 11

Accepted Answer

7

Answer

4x - 3 = 2x + 11 → 2x = 14 → x = 7.

Question 2

A function is defined as f(x) = 3x - 5. What is f(4)?

Accepted Answer

7

Answer

f(4) = 3(4) - 5 = 12 - 5 = 7.

Question 3

Solve the inequality: 2x + 5 > 13

Accepted Answer

x > 4

Answer

2x + 5 > 13 → 2x > 8 → x > 4.

Question 4

Factor: x² + 5x + 6

Accepted Answer

(x + 2)(x + 3)

Answer

Find two numbers that multiply to 6 and add to 5: they are 2 and 3. So x² + 5x + 6 = (x + 2)(x + 3).

Question 5

If y varies directly with x and y = 15 when x = 3, what is y when x = 7?

Accepted Answer

35

Answer

Direct variation: y = kx. k = 15/3 = 5. When x = 7: y = 5 × 7 = 35.

GED Practice Test