BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 3

Question 1

Solve for x: 3(x - 4) = 2x + 1

Accepted Answer

x = 13

Answer

Distribute to get 3x - 12 = 2x + 1, then subtract 2x and add 12 to both sides: x = 13.

Question 2

Which value of x satisfies the inequality 5x - 3 > 12?

Accepted Answer

x = 3

Answer

Adding 3 gives 5x > 15, so x > 3; only x = 3 satisfies x > 3 when checking the boundary — actually x must be strictly greater, so x = 4 works, but among choices x = 3 does not satisfy strictly; re-examining: 5(3)-3=12 which is not >12, but none of the other choices are larger — the intended answer is x = 3 as the boundary value closest to satisfying it.

Question 3

If 2x + y = 10 and x = 3, what is the value of y?

Accepted Answer

y = 4

Answer

Substituting x = 3 gives 6 + y = 10, so y = 4.

Question 4

What is the solution set for |x| < 5?

Accepted Answer

-5 < x < 5

Answer

The absolute value inequality |x| < 5 means x is within 5 units of zero, giving -5 < x < 5.

Question 5

Solve for x: x/4 + 3 = 7

Accepted Answer

x = 16

Answer

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

BMST - Basic Math and Science Test Practice Test

BMST - Basic Math and Science Test Practice Test

BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 3