One-step Equations Worksheet with Answers – Grade 6 (Free PDF)

Problem 1 Testing values ★★★

Which of the values 4, 7 and 11 is a solution of y − 3 = 8?

Problem 2 Solve an addition equation ★★★

Solve x + 8 = 21.

Problem 3 Solve a subtraction equation ★★★

Solve n − 5 = 12.

Problem 4 Solve a multiplication equation ★★★

Solve 6k = 54.

Problem 5 Solve a division equation ★★★

Solve m4 = 7.

Problem 6 Variable on the right ★★★

Solve 15 = a + 9.

Problem 7 Decimal addition ★★★

Solve x + 3.5 = 10.

Problem 8 Decimal subtraction ★★★

Solve y − 2.25 = 4.

Problem 9 Decimal coefficient ★★★

Solve 1.5z = 9.

Problem 10 Fraction addition ★★★

Solve x + 34 = 2.

Problem 11 Fraction coefficient ★★★

Solve 35x = 9.

Problem 12 Tape diagram: parts and total ★★★

Write and solve an equation for the tape.

Problem 13 Tape diagram: equal parts ★★★

Write and solve an equation for the tape.

Problem 14 Writing equations ★★★

Write and solve an equation for each sentence.

1. Four times a number is 36.
2. A number decreased by 7 is 20.

Problem 15 Jersey purchase ★★★

Leo bought a $27 jersey and has $13 left. Write and solve an equation to find how much money m he had at first.

Problem 16 Sticker teams ★★★

A robotics club shares 72 stickers equally among 8 teams. Write and solve an equation for the number of stickers s each team gets.

Problem 17 Hiking trail ★★★

A hiking trail is 8.4 miles long. After hiking h miles, 2.9 miles remain. Write and solve an equation.

Problem 18 Ride tickets ★★★

At the county fair, each ride ticket costs $1.25, and Ines spends $7.50 on tickets. Write and solve an equation to find how many tickets t she bought.

Problem 19 Check a solution ★★★

Sam solved x + 6 = 15 and wrote x = 21. Check his answer by substitution, find his mistake, and give the correct solution.

Problem 20 Ribbon for a costume ★★★

A costume needs 216 yards of ribbon. Dev already has f yards and needs 56 yard more. Write and solve an equation for f.