GED Math Test #7 2 — Questions and Answers
Question 1: Factor completely: x² − 9
- (x − 3)(x + 3) (Correct answer)
- (x − 3)²
- (x + 3)²
- (x − 9)(x + 1)
Correct answer: (x − 3)(x + 3)
x² − 9 is a difference of two squares: a² − b² = (a − b)(a + b). Here a = x and b = 3, so x² − 9 = (x − 3)(x + 3).
Question 2: A right triangle has legs of 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 7
Correct answer: 10
Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100. So c = √100 = 10. This is a classic 3-4-5 Pythagorean triple scaled by 2.
Question 3: If f(x) = 2x² − 3x + 1, what is f(−2)?
- 15 (Correct answer)
- 3
- 11
- −3
Correct answer: 15
f(−2) = 2(−2)² − 3(−2) + 1 = 2(4) + 6 + 1 = 8 + 6 + 1 = 15. Substitute −2 for x and follow order of operations.
Question 4: A store offers a 15% discount on a $120 item. After the discount, sales tax of 8% is applied. What is the final price?
- $110.16 (Correct answer)
- $102.00
- $109.80
- $105.84
Correct answer: $110.16
Discounted price = $120 × (1 − 0.15) = $120 × 0.85 = $102. Then apply 8% sales tax: $102 × 1.08 = $110.16. The final price after the 15% discount and 8% tax is $110.16.
Question 5: What is the perimeter of a regular hexagon with a side length of 7 cm?
- 42 cm (Correct answer)
- 35 cm
- 49 cm
- 28 cm
Correct answer: 42 cm
A regular hexagon has 6 equal sides. Perimeter = 6 × 7 = 42 cm.
Question 6: The equation y = −3x + 6 represents a line. What is its y-intercept?
- 6 (Correct answer)
- −3
- 2
- 3
Correct answer: 6
In slope-intercept form y = mx + b, m is the slope and b is the y-intercept. Here b = 6, so the line crosses the y-axis at (0, 6).
GED Math Test #7 2
Factor completely: x² − 9