Grade 6 · Math

6th grade Solving one-step equations worksheet

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Solving one-step equations

Grade 6 Math Worksheet - Challenge Me

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

Zee rode 18.5 km in all: x km before lunch and 7 km after. What is x in 18.5 = x + 7?
Esme hiked a trail that was x km long. After walking 1.5 km, Esme had 8 km left. What is x in x − 1.5 = 8?
Kira shares 7 cups of trail mix equally among 5 friends. Each friend gets x cups. What is x in 5x = 7?
Luz walks a 14 km path split into 8 equal parts, each x km long. What is x in 8x = 14?
Milo's bucket holds 4 liters of water. It fills 10 equal cups, each x liters. What is x in 10x = 4?
Noah measures yarn. One quarter of the yarn is 8 m long. Using (1/4)x = 8, how long is all of the yarn, x?
Pia bikes a long trail. One fifth of the trail is 15 km long. Using (1/5)x = 15, how long is the whole trail, x?
Tala cuts a piece of yarn into 3 equal pieces. Each piece is 4.5 m long. Using x/3 = 4.5, how long is the yarn?
Zee ran x km on Monday, 1.5 km on Tuesday and 2.25 km on Wednesday, 9 km in all. Add the two known days first. Then what is x?
Ari's yarn is 5 m long, made of three pieces: red x m, blue 0.75 m and green 1.5 m. Add the two known pieces first. Then what is x?

6th grade Solving one-step equations worksheet – printable — Print: 1 2 3 4 5 6

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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