BMST Algebraic Equations and Inequalities 2

Question 1

Solve for x: 3x - 7 = 2x + 5

Accepted Answer

x = 12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

Which value of x satisfies the inequality 4x + 1 > 13?

Accepted Answer

x = 4

Answer

Solving 4x > 12 gives x > 3, so x = 4 is the only choice greater than 3.

Question 3

What is the solution to 2(x + 3) = 14?

Accepted Answer

x = 4

Answer

Distribute to get 2x + 6 = 14, subtract 6 to get 2x = 8, then divide by 2 to get x = 4.

Question 4

Solve the equation: x/5 = 9

Accepted Answer

x = 45

Answer

Multiply both sides by 5 to get x = 45.

Question 5

Which inequality represents 'five less than twice a number is at most 11'?

Accepted Answer

2n - 5 ≤ 11

Answer

'Twice a number' is 2n and 'five less than' means subtract 5, giving 2n - 5 ≤ 11.

BMST - Basic Math and Science Test Practice Test