https://www.stuvia.com/user/Performance
GED updated!!!! EXAMINATION QUESTIONS WITH ANSWERS AND
RATIONALES Updated for 2026/2027
SECTION 1: MATHEMATICAL REASONING (Questions)
1. Simplify: 3(2x - 4) + 5x
A) 11x - 12
B) 6x - 12 + 5x
C) 11x - 4
D) 6x + 5x - 4
Answer: A
Rationale: Distribute: 3(2x) - 3(4) + 5x = 6x - 12 + 5x = 11x - 12.
2. Solve for x: 2x + 7 = 19
A) x = 6
B) x = 12
C) x = 13
D) x = 26
Answer: A
Rationale: Subtract 7 from both sides: 2x = 12; divide by 2: x =
6.
,https://www.stuvia.com/user/Performance
3. What is the slope of the line passing through points (1, 2)
and (3, 8)?
A) 2
B) 3
C) 4
D) 6
Answer: B
Rationale: Slope = (y₂ - y₁) / (x₂ - x₁) = (8 - 2) / (3 - 1) = 6/2 = 3.
4. A car travels 240 miles using 8 gallons of gas. What is the
gas mileage in miles per gallon?
A) 20 mpg
B) 25 mpg
C) 30 mpg
D) 32 mpg
Answer: C
Rationale: 240 ÷ 8 = 30 mpg.
5. What is the area of a rectangle with length 12 cm and width
7 cm?
A) 19 cm²
B) 38 cm²
C) 84 cm²
D) 76 cm²
Answer: C
Rationale: Area = length × width = 12 × 7 = 84 cm².
,https://www.stuvia.com/user/Performance
6. Solve: 5² + 3 × 4 - 2
A) 33
B) 35
C) 39
D) 41
Answer: B
Rationale: Using order of operations: 25 + 12 - 2 = 35.
7. If f(x) = 2x² - 3x + 1, what is f(3)?
A) 10
B) 16
C) 19
D) 22
Answer: A
Rationale: f(3) = 2(9) - 9 + 1 = 18 - 9 + 1 = 10.
8. What is 25% of 80?
A) 15
B) 20
C) 25
D) 30
Answer: B
Rationale: 0.25 × 80 = 20.
**9. A shirt costs $40 and is on sale for 30% off. What is the sale
price?**
, https://www.stuvia.com/user/Performance
A) $12
B) $28
C) $30
D) $32
Answer: B
Rationale: Discount = $40 × 0.30 = $12; sale price = $40 - $12 =
$28.
10. What is the mean of the data set: 4, 8, 6, 10, 12?
A) 6
B) 7
C) 8
D) 9
Answer: C
Rationale: Sum = 40; 40 ÷ 5 = 8.
11. What is the median of the data set: 3, 7, 9, 12, 15?
A) 7
B) 9
C) 10
D) 12
Answer: B
Rationale: The middle number is 9.
12. Solve the inequality: 3x - 5 > 10
A) x > 5
GED updated!!!! EXAMINATION QUESTIONS WITH ANSWERS AND
RATIONALES Updated for 2026/2027
SECTION 1: MATHEMATICAL REASONING (Questions)
1. Simplify: 3(2x - 4) + 5x
A) 11x - 12
B) 6x - 12 + 5x
C) 11x - 4
D) 6x + 5x - 4
Answer: A
Rationale: Distribute: 3(2x) - 3(4) + 5x = 6x - 12 + 5x = 11x - 12.
2. Solve for x: 2x + 7 = 19
A) x = 6
B) x = 12
C) x = 13
D) x = 26
Answer: A
Rationale: Subtract 7 from both sides: 2x = 12; divide by 2: x =
6.
,https://www.stuvia.com/user/Performance
3. What is the slope of the line passing through points (1, 2)
and (3, 8)?
A) 2
B) 3
C) 4
D) 6
Answer: B
Rationale: Slope = (y₂ - y₁) / (x₂ - x₁) = (8 - 2) / (3 - 1) = 6/2 = 3.
4. A car travels 240 miles using 8 gallons of gas. What is the
gas mileage in miles per gallon?
A) 20 mpg
B) 25 mpg
C) 30 mpg
D) 32 mpg
Answer: C
Rationale: 240 ÷ 8 = 30 mpg.
5. What is the area of a rectangle with length 12 cm and width
7 cm?
A) 19 cm²
B) 38 cm²
C) 84 cm²
D) 76 cm²
Answer: C
Rationale: Area = length × width = 12 × 7 = 84 cm².
,https://www.stuvia.com/user/Performance
6. Solve: 5² + 3 × 4 - 2
A) 33
B) 35
C) 39
D) 41
Answer: B
Rationale: Using order of operations: 25 + 12 - 2 = 35.
7. If f(x) = 2x² - 3x + 1, what is f(3)?
A) 10
B) 16
C) 19
D) 22
Answer: A
Rationale: f(3) = 2(9) - 9 + 1 = 18 - 9 + 1 = 10.
8. What is 25% of 80?
A) 15
B) 20
C) 25
D) 30
Answer: B
Rationale: 0.25 × 80 = 20.
**9. A shirt costs $40 and is on sale for 30% off. What is the sale
price?**
, https://www.stuvia.com/user/Performance
A) $12
B) $28
C) $30
D) $32
Answer: B
Rationale: Discount = $40 × 0.30 = $12; sale price = $40 - $12 =
$28.
10. What is the mean of the data set: 4, 8, 6, 10, 12?
A) 6
B) 7
C) 8
D) 9
Answer: C
Rationale: Sum = 40; 40 ÷ 5 = 8.
11. What is the median of the data set: 3, 7, 9, 12, 15?
A) 7
B) 9
C) 10
D) 12
Answer: B
Rationale: The middle number is 9.
12. Solve the inequality: 3x - 5 > 10
A) x > 5
