BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 2

Question 1

Solve for x: 3(x - 4) = 2x + 5

Accepted Answer

x = 17

Answer

Distribute 3 to get 3x - 12 = 2x + 5. Subtract 2x from both sides: x - 12 = 5. Add 12: x = 17.

Question 2

Which inequality represents 'a number decreased by 8 is at most 15'?

Accepted Answer

x - 8 ≤ 15

Answer

'Decreased by 8' means subtract 8, and 'at most' means less than or equal to.

Question 3

What is the solution to the system: x + y = 10 and x - y = 4?

Accepted Answer

x = 7, y = 3

Answer

Adding both equations eliminates y: 2x = 14, so x = 7. Then y = 10 - 7 = 3.

Question 4

Simplify: 5x² + 3x - 2x² + 7x

Accepted Answer

3x² + 10x

Answer

Combine like terms: 5x² - 2x² = 3x² and 3x + 7x = 10x.

Question 5

If 2x + 9 > 25, what is the solution set?

Accepted Answer

x > 8

Answer

Subtract 9 from both sides: 2x > 16. Divide by 2: x > 8.

BMST - Basic Math and Science Test Practice Test