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State standards

Grade 5VA 5.PFA.2

Letters for unknowns

Using a letter for an unknown number: solving one-step equations, turning words into an equation, and writing and solving equations for stories.

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How to help

A letter is a number you don't know yet. Undo what was done to it: for n + 27 = 63, take 27 from 63, so n = 36. Put it back in to check.

Watch for: Writing 7 − n for 7 less than a number (it's n − 7). Adding when the equation needs undoing: n − 12 = 30 gives n = 18. Not checking the answer in the equation.

At home: Play 'I'm thinking of a number': 'I add 9 and get 25.' Write it as n + 9 = 25 together, then solve.

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · Letters for unknowns · 5.PFA.2

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Words to expressions

Circle the expression that matches.

12 more than a number12 × yy + 12y − 12

2 times a number2 + m2 × mm ÷ 2

a number divided by 8t ÷ 88 ÷ tt − 8

a number plus 10t × 10t + 1010 − t

Find the letter

What number makes each equation true?

8 × k = 48;k =5 × n = 35;n =41 + p = 112;p =x + 27 = 111;x =p − 21 = 41;p =x − 9 = 22;x =43 + x = 53;x =t ÷ 4 = 4;t =

Words to equations

Circle the equation that says the same thing.

A number minus 5 is 24.y + 5 = 24y − 5 = 24y ÷ 5 = 24

8 times a number is 72.8 ÷ y = 728 × y = 72y + 8 = 72

9 more than a number is 20.9 ÷ y = 20y + 9 = 20y ÷ 9 = 20

Write it, then solve it

Use n for the unknown. Write an equation, then find n.

Gia shares some cards equally among 3 friends. Each gets 12.

Hugo had some stickers, got 4 more, and now has 44.

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5PFA2-SP-FIRST at mathness.app/makerScan to remix or get the key
Grade 5 · Sheet

Luna's Space Adventure

Grade 5 · Letters for unknowns · 5.PFA.2

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Words to expressions

Circle the expression that matches.

12 more than a number12 × yy + 12y − 12

2 times a number2 + m2 × mm ÷ 2

a number divided by 8t ÷ 88 ÷ tt − 8

a number plus 10t × 10t + 1010 − t

Find the letter

What number makes each equation true?

8 × k = 48;k =65 × n = 35;n =741 + p = 112;p =71x + 27 = 111;x =84p − 21 = 41;p =62x − 9 = 22;x =3143 + x = 53;x =10t ÷ 4 = 4;t =16

Words to equations

Circle the equation that says the same thing.

A number minus 5 is 24.y + 5 = 24y − 5 = 24y ÷ 5 = 24

8 times a number is 72.8 ÷ y = 728 × y = 72y + 8 = 72

9 more than a number is 20.9 ÷ y = 20y + 9 = 20y ÷ 9 = 20

Write it, then solve it

Use n for the unknown. Write an equation, then find n.

Gia shares some cards equally among 3 friends. Each gets 12.n ÷ 3 = 12, n = 36

Hugo had some stickers, got 4 more, and now has 44.n + 4 = 44, n = 40

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5PFA2-SP-FIRST at mathness.app/makerAnswer keyScan to remix or get the key
Answer key

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New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Virginia SOL 5.PFA.2 · Use a letter or box for an unknown, and write one-step equations and expressions from words.

Also: Texas TEKS 4.5A · Florida B.E.S.T. MA.4.AR.2.2

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