6th grade algebra word problems

A free printable sheet of 8 Grade 6 algebra word problems, with a hint for a grown-up under each one and an answer key worked out by Kizupi’s math engine. Press New sheet for another.

By The Kizupi team · Updated November 4, 2026

Grade 6 algebra word problems

Name: ____________________

Nina has 15 dollars and saves 10 dollars every week. After how many whole weeks will Nina have more than 120 dollars?
Hint for a grown-up: Can we write an inequality with w for the number of weeks?
Two robots each run a short program. Robot A works out 6(x + 7). Robot B works out 6x + 7. Kizupi tests both with x = 3. How much bigger is Robot A’s answer?
Hint for a grown-up: In Robot B’s program, does the 6 multiply the 7?
Kizupi writes the rover’s parts list as 4w + 6s + 2w + 6s, where w stands for a wheel and s for a sensor. Simplify it. How many sensors are on the list?
Hint for a grown-up: Which terms on the list are sensor terms?
The rover packs 3 sample boxes. Each box holds 3 red rocks and 4 gray rocks. Kizupi writes the total as 3(3 + 4). How many rocks are in the boxes in all?
Hint for a grown-up: How many red rocks are there in all? How many gray rocks?
Kizupi’s rover starts 25 meters from the base and drives away. After t minutes, it is 2t + 25 meters from the base. How far from the base is it after 8 minutes?
Hint for a grown-up: What does 2t mean: 2 plus t, or 2 times t?
The science club rents a microscope. It costs 37 dollars to join, plus 19 dollars each month. Write an expression for n months, then find the cost for 4 months.
Hint for a grown-up: Can we write an expression with n for the number of months?
The math league hall has 6 rows of seats. The front row has 20 seats, and each row has 4 more seats than the row in front of it. How many seats are there in all?
Hint for a grown-up: How many seats are in the back row, row 6?
Two numbers add up to 32. Their difference is 14. What is the larger number?
Hint for a grown-up: What happens to y if we add the two equations together?

From kizupi.com/tools · Grade 6, sheet 2102

What these algebra problems cover

Each sheet draws 8 problems from 9 Grade 6 algebra word problems in Kizupi’s published lessons, a different skill for each where it can. Only problems that work on paper are used.

Expressions · Inequalities · Systems of two equations · Evaluating expressions · Combining like terms · The distributive property · Equivalent expressions · Tables of two variables · Adding a sequence

Where this fits in 6th grade

The Common Core math standards say Grade 6 time should go to these areas [1]:

Ratios and rates
Dividing fractions, and negative numbers
Writing and using expressions and equations
Statistical thinking

For a sheet that mixes every Grade 6 skill, use the 6th grade math word problems page.

Questions parents ask

What algebra word problems do 6th graders do?

The sheets here draw from 9 Grade 6 skills: Expressions, Inequalities, Systems of two equations, Evaluating expressions, Combining like terms, The distributive property, Equivalent expressions, Tables of two variables, Adding a sequence.

Is the worksheet free?

Yes. No account and no email. Press New sheet for another set of the same topic, and print as many as you like.

Are the answers right?

Every answer is computed with exact arithmetic by the same engine that checks children’s answers in Kizupi, not typed in by hand.

What if algebra word problems are too hard?

Read the problem aloud together and ask what the story is about before any numbers. Use the hint under each problem. If it is still hard, try the mixed Grade 5 sheet first.

Sources

Common Core State Standards Initiative, Grade 6 introduction. Read October 27, 2026.

Want a tutor that asks “how do you know?” every day? Kizupi’s pixel owl reads each problem aloud, hints one small step at a time and never hands over the answer. Grades 1–6.

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