GED Math Test #8 3 — Questions and Answers
Question 1: Solve: |2x − 4| = 10
- x = 7 or x = −3 (Correct answer)
- x = 7 or x = 3
- x = −7 or x = 3
- x = 14 or x = −6
Correct answer: x = 7 or x = −3
Set up two equations: 2x − 4 = 10 → 2x = 14 → x = 7, and 2x − 4 = −10 → 2x = −6 → x = −3. An absolute value equation has two solutions.
Question 2: A scatter plot shows the number of hours studied and test scores. The data shows a strong positive correlation. What does this mean?
- As hours studied increase, test scores tend to increase (Correct answer)
- As hours studied increase, test scores tend to decrease
- Hours studied and test scores are unrelated
- Test scores cause more hours of study
Correct answer: As hours studied increase, test scores tend to increase
A positive correlation means both variables tend to increase together. Correlation does not imply causation, but the pattern shows a relationship between studying and scores.
Question 3: Simplify: (2x³y²)²
- 4x⁶y⁴ (Correct answer)
- 4x⁵y⁴
- 2x⁶y⁴
- 4x⁶y²
Correct answer: 4x⁶y⁴
Apply the power rule: square each factor. 2² = 4; (x³)² = x⁶; (y²)² = y⁴. Result: 4x⁶y⁴.
Question 4: A recipe uses 2½ cups of flour to make 24 cookies. How many cups are needed to make 60 cookies?
- 6¼ cups (Correct answer)
- 5 cups
- 6 cups
- 7½ cups
Correct answer: 6¼ cups
Set up a proportion: 2.5/24 = x/60. Cross-multiply: 24x = 150. x = 150/24 = 6.25 = 6¼ cups.
Question 5: What is the area of a triangle with a base of 10 inches and a height of 6 inches?
- 30 in² (Correct answer)
- 60 in²
- 15 in²
- 16 in²
Correct answer: 30 in²
Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 in².
Question 6: The number 72 is what percent of 240?
- 30% (Correct answer)
- 25%
- 40%
- 33%
Correct answer: 30%
Percent = (part/whole) × 100 = (72/240) × 100 = 0.30 × 100 = 30%.
GED Math Test #8 3
Solve: |2x − 4| = 10