GED Mathematical reasoning 2

Question 1

Solve for x: 3x − 7 = 14

Accepted Answer

x = 7

Answer

Add 7 to both sides: 3x = 21. Divide both sides by 3: x = 7.

Question 2

Which equation represents the line passing through (0, −3) with a slope of 2?

Accepted Answer

y = 2x − 3

Answer

Using slope-intercept form y = mx + b, slope m = 2 and y-intercept b = −3 gives y = 2x − 3.

Question 3

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

Accepted Answer

13x − 12

Answer

Distribute: 4(2x − 3) = 8x − 12. Then combine like terms: 8x + 5x − 12 = 13x − 12.

Question 4

A function is defined as f(x) = x² − 4x + 3. What is f(2)?

Accepted Answer

−1

Answer

f(2) = (2)² − 4(2) + 3 = 4 − 8 + 3 = −1.

Question 5

Solve the inequality: 2x + 5 > 13

Accepted Answer

x > 4

Answer

Subtract 5: 2x > 8. Divide by 2: x > 4. The direction of the inequality does not change when dividing by a positive number.

GED Practice Test