PERT Algebraic Concepts & Applications 5

Question 1

Solve the quadratic equation: x² - 5x + 6 = 0.

Accepted Answer

x = 2 or x = 3

Answer

Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

Question 2

Simplify: (2x + 3)².

Accepted Answer

4x² + 12x + 9

Answer

(2x + 3)² = 4x² + 2(2x)(3) + 9 = 4x² + 12x + 9.

Question 3

Three consecutive integers sum to 48. What is the largest one?

Accepted Answer

17

Answer

Let the integers be n, n+1, n+2; 3n + 3 = 48 gives n = 15, so the largest is 17.

Question 4

What is the equation of a line with slope 4 and y-intercept -1?

Accepted Answer

y = 4x - 1

Answer

Slope-intercept form y = mx + b gives y = 4x - 1.

Question 5

Simplify the rational expression: (x² - 4)/(x - 2).

Accepted Answer

x + 2

Answer

Factor the numerator to (x - 2)(x + 2) and cancel (x - 2), leaving x + 2.

PERT Practice Test