One-Step Equations: Grade 6 Math Test Answer Key – PDF Download

Question 1: Testing Values (2 points)

Try \(x = 6\): \(6 + 5 = 11\), which is true. Try \(x = 4\): \(4 + 5 = 9 \ne 11\). Try \(x = 9\): \(9 + 5 = 14 \ne 11\).

The solution is \(x = 6\).

Scoring: 1 point for naming 6; 1 point for a valid substitution showing \(6 + 5 = 11\).

Question 2: Whole-Number Equations (2 points)

1. \(x = 40 – 13 = \) \(27\)
2. \(x = 63: 7 = \) \(9\)

Scoring: 1 point for each correct solution.

Question 3: Decimal Equations (2 points)

1. \(x = 11.3 – 4.8 = \) \(6.5\)
2. \(x = 4.2: 0.6 = \) \(7\)

Scoring: 1 point for each correct solution.

Question 4: Fraction Equations (2 points)

1. \(x = \frac{5}{6} – \frac{1}{3} = \frac{5}{6} – \frac{2}{6} = \frac{3}{6} = \) \(\frac{1}{2}\)
2. \(x = \frac{3}{2}: 4 = \frac{3}{2}\times \frac{1}{4} = \) \(\frac{3}{8}\)

Scoring: 1 point for each correct answer in simplest form.

Question 5: Write and Solve (2 points)

1. \(n + 12.5 = 30\)
2. \(n = 30 – 12.5 = \) \(17.5\)

Scoring: 1 point for the equation; 1 point for the solution.

Question 6: Finding the Error (3 points)

1. Mei added \(9\) to \(21\) instead of undoing the addition with subtraction.
2. Subtract \(9\) from both sides: \(x = 21 – 9 = \) \(12\)
3. \(12 + 9 = 21\), which is true.

Scoring: 1 point for each part.

Question 7: Baseball Cards (3 points)

1. \(c + 24 = 85\)
2. \(c = 85 – 24 = \) \(61\) cards
3. \(61 + 24 = 85\), which is true.

Scoring: 1 point for each part.

Question 8: Peach Prices (2 points)

1. \(3.5p = 10.50\)
2. \(p = 10.50: 3.5 = \) \(\$3.00\) per pound

Scoring: 1 point for the equation; 1 point for the correct price.

Question 9: Cooking with Flour (2 points)

1. \(\frac{3}{4} + f = 2\)
2. \(f = 2 – \frac{3}{4} = \frac{8}{4} – \frac{3}{4} = \) \(\frac{5}{4}\), or \(1\frac{1}{4}\) cups

Scoring: 1 point for the equation; 1 point for the correct amount.

See every chapter on the Grade 6 math page.