BMST Algebraic Equations and Inequalities 4

Question 1

Solve for x: x² = 49

Accepted Answer

x = 7 or x = -7

Answer

Taking the square root of both sides gives x = ±7, since both 7² and (-7)² equal 49.

Question 2

A store sells pens for $2 each. Maria spends no more than $14. What is the maximum number of pens she can buy?

Accepted Answer

7

Answer

The inequality 2p ≤ 14 gives p ≤ 7, so she can buy at most 7 pens.

Question 3

Solve for b: b/4 - 2 = 3

Accepted Answer

b = 20

Answer

Add 2 to both sides to get b/4 = 5, then multiply by 4 to get b = 20.

Question 4

Which equation has no solution?

Accepted Answer

2x = 2x + 1

Answer

2x = 2x + 1 simplifies to 0 = 1, which is a contradiction with no solution.

Question 5

Solve: -2(x - 4) = 10

Accepted Answer

x = -1

Answer

Distribute to get -2x + 8 = 10, subtract 8 to get -2x = 2, then divide by -2 to get x = -1.

BMST - Basic Math and Science Test Practice Test