BSEP Algebraic Concepts 4

Question 1

What is the solution to the inequality 4x < 20?

Accepted Answer

x < 5

Answer

Divide both sides by 4: x < 5.

Question 2

Which ordered pair lies on the line y = 2x - 1?

Accepted Answer

(0, -1)

Answer

When x = 0: y = 2(0) - 1 = -1, confirming (0, -1) is on the line.

Question 3

Evaluate the expression 2a² - 3b when a = 3 and b = 4.

Accepted Answer

6

Answer

Substitute: 2(3²) - 3(4) = 2(9) - 12 = 18 - 12 = 6.

Question 4

Which property is used to rewrite 5(x + 3) as 5x + 15?

Accepted Answer

Distributive property

Answer

The distributive property states a(b + c) = ab + ac, used here to expand 5(x + 3).

Question 5

Solve for x: x/4 + 3 = 7

Accepted Answer

16

Answer

Subtract 3 from both sides: x/4 = 4, then multiply both sides by 4: x = 16.

BSEP - Basic Skills Education Program Practice Test