BMST Algebraic Equations and Inequalities 3

Question 1

A number increased by 8 equals 23. What is the number?

Accepted Answer

15

Answer

The equation n + 8 = 23 gives n = 15 when you subtract 8 from both sides.

Question 2

Solve for a: 2a + 5 = a - 3

Accepted Answer

a = -8

Answer

Subtract a from both sides to get a + 5 = -3, then subtract 5 to get a = -8.

Question 3

What is the solution set for |x| = 6?

Accepted Answer

x = 6 or x = -6

Answer

Absolute value equations have two solutions: x = 6 and x = -6, since both have an absolute value of 6.

Question 4

Solve: 3(2x - 1) = 15

Accepted Answer

x = 3

Answer

Distribute to get 6x - 3 = 15, add 3 to get 6x = 18, then divide by 6 to get x = 3.

Question 5

On a number line, which description correctly shows x < -2?

Accepted Answer

Open circle at -2, shading to the left

Answer

A strict inequality uses an open circle, and x < -2 means values less than -2, so shading goes left.

BMST - Basic Math and Science Test Practice Test