GED - General Educational Development Mathematical Reasoning 1

Question 1

What is the value of 3 + 4 × 2 − 1?

Accepted Answer

10

Answer

By order of operations (PEMDAS), multiplication is performed before addition and subtraction: 4 × 2 = 8, then 3 + 8 − 1 = 10.

Question 2

A shirt originally costs $45 and is on sale for 20% off. What is the sale price?

Accepted Answer

$36.00

Answer

20% of $45 = 0.20 × 45 = $9. Subtracting the discount: $45 − $9 = $36.

Question 3

Solve for x: 2x + 5 = 17

Accepted Answer

x = 6

Answer

Subtract 5 from both sides: 2x = 12. Divide both sides by 2: x = 6.

Question 4

A rectangle has a length of 8 feet and a width of 5 feet. What is its area?

Accepted Answer

40 square feet

Answer

Area of a rectangle = length × width = 8 × 5 = 40 square feet. The perimeter (26 ft) is found by adding all sides, not multiplying.

Question 5

What is the mean (average) of 12, 18, 24, 6, and 10?

Accepted Answer

14

Answer

Add all values: 12 + 18 + 24 + 6 + 10 = 70. Divide by the count of numbers (5): 70 ÷ 5 = 14.

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