6th Grade Solving One-Step Equations Worksheet (PDF)

6th Grade math worksheet: Solving One-Step Equations – Maths PDF

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This one step equations worksheet for 6th Grade covers solving one-step equations (Common Core 6.EE.B.5, 6.EE.B.6, 6.EE.B.7), with a free PDF to print.

These 20 problems practice solving one-step equations (Common Core 6.EE.B.5, 6.EE.B.6, and 6.EE.B.7). You will test solutions by substitution, solve with whole numbers, decimals, and fractions, and write and solve equations from real stories using tape diagrams and balances.

Grade 6 · Common Core State Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7

One step equations worksheet: exercises 1 to 10

Exercise 1 – Is it a solution? (addition)

Is 5 a solution of $x + 7 = 12$? Substitute to decide.

Exercise 2 – Is it a solution? (multiplication)

Is 4 a solution of $3x = 15$? Substitute to decide.

Exercise 3 – Solve an addition equation

The whole is 20; the parts are x and 9.

Solve $x + 9 = 20$.

Exercise 4 – Solve a subtraction equation

Solve $x – 6 = 14$.

Exercise 5 – Solve a multiplication equation

Four equal parts make 36.

Solve $4x = 36$.

Exercise 6 – Solve a division equation

Solve $\frac{x}{5} = 7$.

Exercise 7 – Decimal addition

Solve $x + 3.5 = 8.2$.

Exercise 8 – Decimal multiplication

Solve $2.5x = 10$.

Exercise 9 – Fraction addition

Solve $x + \frac{1}{4} = \frac{3}{4}$.

Exercise 10 – Fraction multiplication

Solve $\frac{2}{3}x = 8$.

Exercises 11 and up

Exercise 11 – Decimal subtraction

Solve $x – 2.75 = 5.25$.

Exercise 12 – Write and solve (sum)

The two sides are equal.

Write an equation for “a number n plus 12 is 30” and solve it.

Exercise 13 – Write and solve (difference)

Write an equation for “6 less than a number n is 9” and solve it.

Exercise 14 – Money spent

Maya had x dollars. After she spent $14 on lunch, she had $23 left. Write an equation and find how much she had at first.

Exercise 15 – Tickets

Five equal ticket prices make $45.

Five tickets to the school play cost $45 in all. Write an equation with t as the price of one ticket and solve it.

Exercise 16 – Height

Jamal’s sister is 52 inches tall, which is 6 inches taller than Jamal. Write an equation for Jamal’s height h and solve it.

Exercise 17 – Perimeter of a square

A square with perimeter 36 feet.

A square has a perimeter of 36 feet. Write an equation for the side length s and solve it.

Exercise 18 – Equal groups

A teacher has 24 students and puts them into groups of 4. Write an equation for the number of groups g and solve it.

Exercise 19 – Discount

A sweatshirt is on sale for $27 after a discount of $8. Write an equation for the original price p and solve it.

Exercise 20 – Saving plan

Noah had x dollars saved. His mom added $15, and now he has $62. Write and solve an equation for x. Then find how many weeks w it will take him to save $54 more if he saves $6 each week (write and solve 6w = 54).

Key facts behind this one step equations worksheet

Key facts

A solution makes an equation true; check by substituting.
Do the same operation to both sides to keep the equation balanced.
Use the inverse operation: add and subtract, multiply and divide.
Tape diagrams show addition and multiplication equations.
Write an equation from a story by naming the unknown with a variable.

How to use this one step equations worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

All Grade 6 chapters: Grade 6 math.

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