TASC Mathematics 1

Question 1

What is the slope-intercept form of a linear equation?

Accepted Answer

y = mx + b

Answer

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?

Accepted Answer

a² + b² = c²

Answer

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

Accepted Answer

11x - 12

Answer

Distribute: 6x - 12 + 5x = 11x - 12.

Question 4

What is the area of a triangle with base 10 and height 6?

Accepted Answer

30

Answer

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 square units.

Question 5

If f(x) = 2x + 3, what is f(4)?

Accepted Answer

11

Answer

Substitute x = 4: f(4) = 2(4) + 3 = 8 + 3 = 11.

TASC Practice Test