GED EXAM 2026–2027 | COMPLETE STUDY
GUIDE | MATH, SCIENCE, REASONING
THROUGH LANGUAGE ARTS & SOCIAL
STUDIES | VERIFIED PRACTICE QUESTIONS &
ANSWERS | LATEST UPDATED EXAM PREP
GED EXAM 2026–2027 | COMPLETE STUDY GUIDE
MATH, SCIENCE, REASONING THROUGH LANGUAGE ARTS & SOCIAL STUDIES
OVERVIEW
• This comprehensive study guide contains 200 verified practice questions with
detailed EXPERT RATIONALE designed to strengthen mastery across all four GED
exam domains; utilize this material by working through each section systematically,
reviewing incorrect answers thoroughly, and timing yourself to build test
endurance.
• Strategic preparation requires daily practice of 20–30 questions, emphasis on
weak content areas, and careful analysis of EXPERT RATIONALE explanations to
understand not just correct answers but the reasoning behind them.
MATHEMATICS SECTION
1. What is the value of 3x + 5 when x = 4?
A) 12
B) 15
C) 17
D) 19
E) 21
CORRECT ANSWER: C) 17
,EXPERT RATIONALE: Substitute x = 4 into the expression 3x + 5. This gives 3(4) + 5
= 12 + 5 = 17. The correct answer demonstrates proper order of operations and
substitution skills.
2. A rectangle has a length of 12 cm and a width of 8 cm. What is its area?
A) 20 cm²
B) 40 cm²
C) 80 cm²
D) 96 cm²
E) 120 cm²
CORRECT ANSWER: D) 96 cm²
EXPERT RATIONALE: Area of a rectangle = length × width = 12 × 8 = 96 cm². This is
fundamental geometry required for the GED and real-world applications.
3. Solve for x: 2x - 6 = 10
A) 2
B) 4
C) 8
D) 12
E) 16
CORRECT ANSWER: C) 8
EXPERT RATIONALE: Add 6 to both sides: 2x = 16. Divide both sides by 2: x = 8. This
demonstrates linear equation solving, a core GED skill.
4. What is 25% of 80?
,A) 16
B) 20
C) 24
D) 30
E) 40
CORRECT ANSWER: B) 20
EXPERT RATIONALE: 25% = 0.25, and 0.25 × 80 = 20. Percentage calculations are
essential for everyday applications and GED success.
5. A triangle has sides of 5 cm, 12 cm, and 13 cm. Is this a right triangle?
A) No, because the sides are not equal
B) Yes, because 5 + 12 = 17, which is more than 13
C) Yes, because 5² + 12² = 13²
D) No, because no side equals 90
E) Cannot be determined from the information given
CORRECT ANSWER: C) Yes, because 5² + 12² = 13²
EXPERT RATIONALE: The Pythagorean theorem states a² + b² = c² for right
triangles. Testing: 5² + 12² = 25 + 144 = 169, and 13² = 169. The equation holds true,
confirming this is a right triangle (3-4-5 triple scaled by multiples).
6. What is the slope of the line passing through points (2, 3) and (5, 9)?
A) 1
B) 2
C) 3
D) 6
, E) 9
CORRECT ANSWER: B) 2
EXPERT RATIONALE: Slope = (y₂ - y₁)/(x₂ - x₁) = (9 - 3)/(5 - 2) = 6/3 = 2.
Understanding slope is critical for graphing linear equations on the GED.
7. If 3x = 18, what is x?
A) 3
B) 5
C) 6
D) 9
E) 12
CORRECT ANSWER: C) 6
EXPERT RATIONALE: Divide both sides by 3: x = 18 ÷ 3 = 6. This is a foundational
algebraic operation tested on the GED.
8. A store offers a 30% discount on a $50 item. What is the final price?
A) $15
B) $20
C) $30
D) $35
E) $45
CORRECT ANSWER: D) $35
EXPERT RATIONALE: 30% of $50 = 0.30 × $50 = $15 discount. Final price = $50 - $15
= $35. This practical application tests percentage and subtraction skills.
GUIDE | MATH, SCIENCE, REASONING
THROUGH LANGUAGE ARTS & SOCIAL
STUDIES | VERIFIED PRACTICE QUESTIONS &
ANSWERS | LATEST UPDATED EXAM PREP
GED EXAM 2026–2027 | COMPLETE STUDY GUIDE
MATH, SCIENCE, REASONING THROUGH LANGUAGE ARTS & SOCIAL STUDIES
OVERVIEW
• This comprehensive study guide contains 200 verified practice questions with
detailed EXPERT RATIONALE designed to strengthen mastery across all four GED
exam domains; utilize this material by working through each section systematically,
reviewing incorrect answers thoroughly, and timing yourself to build test
endurance.
• Strategic preparation requires daily practice of 20–30 questions, emphasis on
weak content areas, and careful analysis of EXPERT RATIONALE explanations to
understand not just correct answers but the reasoning behind them.
MATHEMATICS SECTION
1. What is the value of 3x + 5 when x = 4?
A) 12
B) 15
C) 17
D) 19
E) 21
CORRECT ANSWER: C) 17
,EXPERT RATIONALE: Substitute x = 4 into the expression 3x + 5. This gives 3(4) + 5
= 12 + 5 = 17. The correct answer demonstrates proper order of operations and
substitution skills.
2. A rectangle has a length of 12 cm and a width of 8 cm. What is its area?
A) 20 cm²
B) 40 cm²
C) 80 cm²
D) 96 cm²
E) 120 cm²
CORRECT ANSWER: D) 96 cm²
EXPERT RATIONALE: Area of a rectangle = length × width = 12 × 8 = 96 cm². This is
fundamental geometry required for the GED and real-world applications.
3. Solve for x: 2x - 6 = 10
A) 2
B) 4
C) 8
D) 12
E) 16
CORRECT ANSWER: C) 8
EXPERT RATIONALE: Add 6 to both sides: 2x = 16. Divide both sides by 2: x = 8. This
demonstrates linear equation solving, a core GED skill.
4. What is 25% of 80?
,A) 16
B) 20
C) 24
D) 30
E) 40
CORRECT ANSWER: B) 20
EXPERT RATIONALE: 25% = 0.25, and 0.25 × 80 = 20. Percentage calculations are
essential for everyday applications and GED success.
5. A triangle has sides of 5 cm, 12 cm, and 13 cm. Is this a right triangle?
A) No, because the sides are not equal
B) Yes, because 5 + 12 = 17, which is more than 13
C) Yes, because 5² + 12² = 13²
D) No, because no side equals 90
E) Cannot be determined from the information given
CORRECT ANSWER: C) Yes, because 5² + 12² = 13²
EXPERT RATIONALE: The Pythagorean theorem states a² + b² = c² for right
triangles. Testing: 5² + 12² = 25 + 144 = 169, and 13² = 169. The equation holds true,
confirming this is a right triangle (3-4-5 triple scaled by multiples).
6. What is the slope of the line passing through points (2, 3) and (5, 9)?
A) 1
B) 2
C) 3
D) 6
, E) 9
CORRECT ANSWER: B) 2
EXPERT RATIONALE: Slope = (y₂ - y₁)/(x₂ - x₁) = (9 - 3)/(5 - 2) = 6/3 = 2.
Understanding slope is critical for graphing linear equations on the GED.
7. If 3x = 18, what is x?
A) 3
B) 5
C) 6
D) 9
E) 12
CORRECT ANSWER: C) 6
EXPERT RATIONALE: Divide both sides by 3: x = 18 ÷ 3 = 6. This is a foundational
algebraic operation tested on the GED.
8. A store offers a 30% discount on a $50 item. What is the final price?
A) $15
B) $20
C) $30
D) $35
E) $45
CORRECT ANSWER: D) $35
EXPERT RATIONALE: 30% of $50 = 0.30 × $50 = $15 discount. Final price = $50 - $15
= $35. This practical application tests percentage and subtraction skills.
