Sample ACT questions—spanning Math, English, Reading, and Science—along with their
answers. These examples illustrate the types of challenges you might encounter on test day.
1. Math – Linear Equation
Question: Solve for x:
2x + 3 = 11
Answer: x = 4
2. Math – Function Evaluation
Question: Given f(x) = x² – 3x + 2, what is f(3)?
Answer: f(3) = 3² – 3×3 + 2 = 9 – 9 + 2 = 2
3. Math – Geometry
Question: What is the area of a triangle with a base of 10 units and a height of 6 units?
Answer: Area = ½ × 10 × 6 = 30 square units
4. Math – Expression Simplification
Question: Simplify the expression:
3(x – 4) + 2(2x + 1)
Answer: 3x – 12 + 4x + 2 = 7x – 10
5. Math – Rate Problem
Question: A car travels 150 miles in 3 hours. What is its average speed?
Answer: Average speed = 150 miles ÷ 3 hours = 50 mph
6. English – Grammar (Subject-Verb Agreement)
answers. These examples illustrate the types of challenges you might encounter on test day.
1. Math – Linear Equation
Question: Solve for x:
2x + 3 = 11
Answer: x = 4
2. Math – Function Evaluation
Question: Given f(x) = x² – 3x + 2, what is f(3)?
Answer: f(3) = 3² – 3×3 + 2 = 9 – 9 + 2 = 2
3. Math – Geometry
Question: What is the area of a triangle with a base of 10 units and a height of 6 units?
Answer: Area = ½ × 10 × 6 = 30 square units
4. Math – Expression Simplification
Question: Simplify the expression:
3(x – 4) + 2(2x + 1)
Answer: 3x – 12 + 4x + 2 = 7x – 10
5. Math – Rate Problem
Question: A car travels 150 miles in 3 hours. What is its average speed?
Answer: Average speed = 150 miles ÷ 3 hours = 50 mph
6. English – Grammar (Subject-Verb Agreement)
