PERT Algebraic Concepts & Applications 3

Question 1

Solve for y: y/3 + 4 = 10.

Accepted Answer

y = 18

Answer

Subtract 4 to get y/3 = 6, then multiply by 3 to get y = 18.

Question 2

Expand: (x + 5)(x - 2).

Accepted Answer

x² + 3x - 10

Answer

Using FOIL: x² - 2x + 5x - 10 = x² + 3x - 10.

Question 3

A rectangle has length 2x and width x + 3. What is its perimeter in terms of x?

Accepted Answer

6x + 6

Answer

Perimeter = 2(2x) + 2(x + 3) = 4x + 2x + 6 = 6x + 6.

Question 4

Solve for x: x² = 49.

Accepted Answer

x = ±7

Answer

Taking the square root of both sides gives x = 7 or x = -7.

Question 5

Simplify: (12x⁵)/(4x²).

Accepted Answer

3x³

Answer

Divide coefficients (12/4 = 3) and subtract exponents (5 - 2 = 3) for 3x³.

PERT Practice Test