TASC Mathematics 1 — Questions and Answers
Question 1: What is the slope-intercept form of a linear equation?
- ax + by = c
- y = mx + b (Correct answer)
- x = y + m
- y² = mx
Correct answer: y = mx + b
The slope-intercept form y = mx + b identifies the slope (m) and y-intercept (b) directly, making it easy to graph and analyze linear relationships.
Question 2: What is the Pythagorean theorem?
- a + b = c
- a² + b² = c² (Correct answer)
- 2a + 2b = c
- a × b = c²
Correct answer: a² + b² = c²
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Question 3: Simplify: 3(2x - 4) + 5x
- 11x - 12 (Correct answer)
- 11x - 4
- 6x - 12
- 11x + 12
Correct answer: 11x - 12
Distribute: 6x - 12 + 5x = 11x - 12.
Question 4: What is the area of a triangle with base 10 and height 6?
- 60
- 30 (Correct answer)
- 16
- 15
Correct answer: 30
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 square units.
Question 5: If f(x) = 2x + 3, what is f(4)?
- 8
- 11 (Correct answer)
- 14
- 7
Correct answer: 11
Substitute x = 4: f(4) = 2(4) + 3 = 8 + 3 = 11.
Question 6: What is 15% of 60?
- 6
- 9 (Correct answer)
- 12
- 15
Correct answer: 9
15% of 60 = 0.15 × 60 = 9.
TASC Mathematics 1
What is the slope-intercept form of a linear equation?