One-Step Equations: Grade 6 Math Worksheet – PDF Download

Problem 1: Is It a Solution

Decide whether the given value is a solution of the equation. Show the substitution.

1. \(x + 8 = 15\); \(x = 7\)
2. \(3x = 18\); \(x = 5\)
3. \(x + 2.5 = 6\); \(x = 3.5\)
4. \(4x = 10\); \(x = 2.5\)

Problem 2: Addition Equations

Solve each equation.

1. \(x + 9 = 21\)
2. \(x + 14 = 30\)
3. \(17 = x + 5\)
4. \(x + 26 = 50\)

Problem 3: Multiplication Equations

Solve each equation.

1. \(6x = 42\)
2. \(9x = 72\)
3. \(54 = 6x\)
4. \(12x = 60\)

Problem 4: Addition with Decimals

Solve each equation.

1. \(x + 3.4 = 9.1\)
2. \(x + 0.75 = 2.5\)
3. \(12.6 = x + 4.9\)
4. \(x + 0.08 = 0.5\)

Problem 5: Multiplication with Decimals

Solve each equation.

1. \(5x = 12.5\)
2. \(0.4x = 3.2\)
3. \(1.5x = 9\)
4. \(0.25x = 6\)

Problem 6: Equations with Fractions

Solve each equation. Write each answer as a fraction.

1. \(x + \frac{1}{4} = \frac{7}{8}\)
2. \(x + \frac{2}{5} = 1\)
3. \(3x = \frac{3}{4}\)
4. \(\frac{1}{2}x = \frac{3}{8}\)

Problem 7: Writing Equations

Write an equation for each sentence, then solve it.

1. 7 more than a number \(n\) is 25.
2. 6 times a number \(n\) is 4.2.
3. The sum of a number \(n\) and \(\frac{3}{4}\) is 2.
4. A number \(n\) times 8 equals 100.

Problem 8: School Store Savings

Priya had some money in her wallet. After she earned $8.50 at the school store, she had $20.00. Write an equation and find how much she had at first.

Problem 9: Farmers Market Apples

Diego pays $8.75 for \(2.5\) pounds of apples. Write an equation using \(p\) for the price per pound, then solve it.

Problem 10: Road Trip

Liam’s family plans a \(340\)-mile road trip. After lunch they have driven \(187.5\) miles.

1. Write and solve an equation to find the miles \(m\) they still have to drive.
2. They finish the trip in \(2.5\) hours at a steady speed \(s\) miles per hour. Write and solve an equation to find \(s\).
3. Check your answer to part (b) by substitution.

See every chapter on the Grade 6 math page.