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6th grade Solving one-step equations worksheet

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Solving one-step equations

Grade 6 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Luz collected x acorns on Saturday and 35 on Sunday, 92 in all (the squirrels are jealous). What is x in x + 35 = 92?

  2. Noah had x apples, gave away 14, and has 37 left (the apples were crunchy). What is x in x − 14 = 37?

  3. Pia filled the tub with x liters of water. After 28 liters were used, 65 liters were left. What is x in x − 28 = 65?

  4. Ren's class had x minutes of free time this month. After 45 minutes were used, 70 minutes were left. What is x in x − 45 = 70?

  5. Ari has 12 shelves that each hold x books, 84 books in all. What is x in 12x = 84?

  6. Bo shares a jar of beads equally among 4 friends. Each friend gets 12 beads. Using x/4 = 12, how many beads were in the jar?

  7. Esme splits a pile of pages equally among 3 readers. Each reader gets 15 pages. Using x/3 = 15, how many pages are in the pile?

  8. Luz has 40 strawberries. That is 12 more than Tala has. How many strawberries does Tala have?

  9. Noah has 31 buttons, 9 fewer than Ari. How many buttons does Ari have?

  10. Pia read 54 minutes today, 13 fewer than Bo. How many minutes did Bo read?

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6th grade Solving one-step equations worksheet – printable
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About this worksheet

Solving one-step equations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the number a letter stands for in an equation like x + 7 = 12 or 4x = 36.
  • I can undo the operation and check my answer by putting it back in the equation.
  • I can see that an answer does not have to be a whole number.

Words to know

variable: A letter that stands for a number we do not know yet.

equation: A math sentence with an equal sign. Both sides have the same value.

solution: The number that makes the equation true.

undo: Do the opposite operation: adding undoes subtracting, dividing undoes multiplying.

tape diagram: A bar cut into parts to show how the numbers in a problem fit together.

Common mistakes

Your child did the same operation shown in the equation instead of undoing it. Try asking "if x plus 7 makes 12, what did we start with?" and let them draw the bar.

Your child subtracted the number next to the letter in a times-equation. Try asking "4 groups of what make 36?" and let them draw the groups.

Your child took only one of the two known amounts away from the total. Try asking them to cross off each part of the bar as they use it.

Questions parents ask

What is the most common mistake with solving one-step equations?

Your child did the same operation shown in the equation instead of undoing it. Try asking "if x plus 7 makes 12, what did we start with?" and let them draw the bar.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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