TCAP Math Problem Solving 1 — Questions and Answers
Question 1: What is the value of x in 3x + 7 = 22?
- 5 (Correct answer)
- 6
- 4
- 7
Correct answer: 5
Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.
Question 2: Which property states that a(b + c) = ab + ac?
- Distributive property (Correct answer)
- Commutative property
- Associative property
- Identity property
Correct answer: Distributive property
The distributive property allows you to multiply a single term across terms inside parentheses.
Question 3: What is the area of a triangle with base 10 and height 6?
- 30 square units (Correct answer)
- 60 square units
- 16 square units
- 20 square units
Correct answer: 30 square units
Area = ½ × base × height = ½ × 10 × 6 = 30 square units.
Question 4: What is the slope of a line passing through (2,3) and (4,7)?
- 2 (Correct answer)
- 3
- 4
- 1
Correct answer: 2
Slope = (y2-y1)/(x2-x1) = (7-3)/(4-2) = 4/2 = 2.
Question 5: What is 15% of 200?
- 30 (Correct answer)
- 20
- 25
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 6: What is the solution to the inequality 2x - 4 > 6?
- x > 5 (Correct answer)
- x > 3
- x < 5
- x > 1
Correct answer: x > 5
Add 4: 2x > 10. Divide by 2: x > 5.
TCAP Math Problem Solving 1
What is the value of x in 3x + 7 = 22?