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Solving Two-Step Equations: Fun Challenges for 6th Graders - Printable Math Worksheets 6th Grade - Wayground

Solving Two-Step Equations: Fun Challenges for 6th Graders

Anthony Clark

Created by Anthony Clark

10 questions

6th Grade

Math

This Grade 6 mathematics worksheet builds skill in translating everyday situations into simple equations and solving for an unknown. Its 10 multiple-choice questions use contexts such as apples, shopping, ages, marbles, money, notebooks, flowers, and recipes. Students calculate unknown amounts, identify expressions such as x + 4, 2x, and 30 - x, and solve basic multiplication, division, addition, and subtraction relationships from word problems. Designed for Grade 6 learners, this free printable worksheet provides focused practice in connecting verbal information with mathematical equations. Teachers can use it for guided instruction, independent practice, review, or a quick formative assessment of equation-writing and one-step problem-solving skills. The worksheet includes a complete answer key, allowing teachers to check both computation-based responses and students’ ability to select an equation that represents a situation.

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Solving Two-Step Equations: Fun Challenges for 6th Graders

Total questions: 10

Name
Class
Date
1.

Maria has 12 apples. She gives some to her friend and now has 5 apples left. How many apples did she give away?

a)

7

b)

4

c)

10

d)

3

2.

A book costs $15. If you buy 3 books and pay with a $60 bill, how much change will you receive?

a)

$30

b)

$45

c)

$10

d)

$15

3.

Tom is 4 years older than his sister. If his sister is x years old, write an equation to find Tom's age.

a)

Tom's age = x + 4

b)

Tom's age = x - 4

c)

Tom's age = x + 2

d)

Tom's age = 2x

4.

A movie ticket costs $8. If you buy 5 tickets and pay with a $50 bill, how much money will you have left?

a)

$10

b)

$20

c)

$15

d)

$5

5.

Lily has twice as many marbles as Jake. If Jake has x marbles, write an equation to express how many marbles Lily has.

a)

L = 3x

b)

L = x

c)

L = x/2

d)

L = 2x

6.

A box contains 20 chocolates. If you eat 3 chocolates, how many chocolates are left in the box? Write an equation to find the answer.

a)

15

b)

20

c)

10

d)

17

7.

The total cost of 4 notebooks and 2 pens is $14. If each notebook costs $2, how much does each pen cost?

a)

2

b)

4

c)

5

d)

3

8.

A gardener plants 3 rows of flowers. If each row has x flowers and there are 15 flowers in total, write an equation to find x.

a)

10

b)

5

c)

7

d)

3

9.

Sarah has $50. She spends $20 on a dress and then wants to buy some shoes. If the shoes cost x dollars, how much money does she have left?

a)

30 + x

b)

50 - x

c)

20 - x

d)

30 - x

10.

A recipe requires 2 cups of flour. If you want to make 3 batches, how many cups of flour do you need in total? Write an equation to find the answer.

a)

8 cups

b)

6 cups

c)

10 cups

d)

4 cups

WaygroundAnswer Key

Solving Two-Step Equations: Fun Challenges for 6th Graders

Total questions: 10

1.
a)

7

2.
d)

$15

3.
a)

Tom's age = x + 4

4.
a)

$10

5.
d)

L = 2x

6.
d)

17

7.
d)

3

8.
b)

5

9.
d)

30 - x

10.
b)

6 cups

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FAQs

What does this worksheet cover?

This worksheet covers translating real-world situations into simple equations and finding unknown amounts through 10 multiple-choice questions. Students identify relationships such as “4 years older” as x + 4, “twice as many” as 2x, and remaining money as 30 - x, while also solving basic cost, quantity, and measurement problems.

How can I use this worksheet to teach equation writing and solving?

Introduce the worksheet by modeling how to identify the known quantities, the unknown, and the operation described in a word problem. Then have students explain why phrases such as “twice as many,” “left,” and “in total” lead to expressions like 2x, subtraction, or multiplication before completing the multiple-choice items independently.

What mistakes should I watch for when students complete this worksheet?

Watch for students choosing the wrong operation when a problem describes money left, change, or a remaining quantity, such as subtracting the purchase cost from the wrong starting amount. Students may also confuse equation relationships—for example, selecting x - 4 instead of x + 4 for an age that is four years older, or x/2 instead of 2x for twice as many marbles.

How do I assign and grade this worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for all 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version supports online completion and grading.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the word problems and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the equation-writing and computation items without changing their format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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