BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers 5

Question 1

What is the value of x if 7x - 3(x + 2) = 10?

Accepted Answer

x = 4

Answer

Distributing gives 7x - 3x - 6 = 10, so 4x = 16 and x = 4.

Question 2

Solve: 2x + 5 = x - 3

Accepted Answer

x = -8

Answer

Subtracting x from both sides gives x + 5 = -3, then x = -8.

Question 3

Which of the following is a solution to 3x + 2 ≤ 11?

Accepted Answer

x = 3

Answer

Solving gives x ≤ 3; checking x = 3: 3(3)+2 = 11 ≤ 11 is true.

Question 4

A science experiment requires a temperature T between 20°C and 30°C. Which inequality represents this?

Accepted Answer

20 ≤ T ≤ 30

Answer

'Between and including' both endpoints means 20 ≤ T ≤ 30.

Question 5

Solve for x: (x + 3)/2 = 5

Accepted Answer

x = 7

Answer

Multiply both sides by 2 to get x + 3 = 10, then subtract 3 to get x = 7.

BMST - Basic Math and Science Test Practice Test