6th Grade Solving One-Step Equations Quiz: 10 Questions with Explanations

A \(x = 27\)B \(x = 11\)C \(x = 152\)D \(x = 8\)

Subtract 8 from both sides: \(19 – 8 = 11\). Adding gives 27.

A \(x = 35\)B \(x = 200\)C \(x = 8\)D \(x = 45\)

Divide both sides by 5.

A \(12x = 30\)B \(x – 12 = 30\)C \(\frac{x}{12} = 30\)D \(x + 12 = 30\)

Two parts x and 12 make the whole 30.

A \(x = 24\)B \(x = 11\)C \(x = \frac{8}{3}\)D \(x = 5\)

Multiply both sides by 3. Dividing 8 by 3 undoes the wrong operation.

A 13B 5C 36D 9

\(13 – 4 = 9\).

A \(b + 6 = 54\)B \(b – 6 = 54\)C \(6b = 54\)D \(\frac{b}{6} = 54\)

Equal groups: 6 times b is 54.

A \(x = 5.5\)B \(x = 3.5\)C \(x = 6\)D \(x = 2.5\)

\(4 – 1.5 = 2.5\).

A \(x = 3.5\)B \(x = 14\)C \(x = 7.5\)D \(x = 4\)

Multiply by 2. Halving 7 is a common mistake.

A \(p + 9 = 31\)B \(p – 9 = 31\)C \(9p = 31\)D \(\frac{p}{9} = 31\)

Original price minus the discount equals the sale price.

A Each side is 7 inchesB Each side is 24 inchesC Each side is 112 inchesD The area is 28 square inches

s = \(28 \div 4 = 7\).