BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 4

Question 1

Solve the system: x + y = 8 and x - y = 2

Accepted Answer

x = 5, y = 3

Answer

Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 3.

Question 2

Which inequality is equivalent to -3x ≥ 9?

Accepted Answer

x ≤ -3

Answer

Dividing both sides by -3 requires flipping the inequality sign, giving x ≤ -3.

Question 3

What value of x makes the equation x² = 49 true (positive solution)?

Accepted Answer

7

Answer

Taking the square root of both sides gives x = ±7; the positive solution is x = 7.

Question 4

A number increased by 15 is at most 40. Which inequality models this?

Accepted Answer

n + 15 ≤ 40

Answer

'At most 40' means less than or equal to 40, so the inequality is n + 15 ≤ 40.

Question 5

Solve for y: 3y/5 = 9

Accepted Answer

y = 15

Answer

Multiply both sides by 5 to get 3y = 45, then divide by 3 to get y = 15.

BMST - Basic Math and Science Test Practice Test