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True or false equations

Deciding whether an equation is true or false and saying why, with +, −, × and ÷ on either side of the equal sign.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Work out each side on its own. If both sides make the same number, the equation is true. The = sign means “is the same as”, not “here comes the answer”.

Watch for: Working out only the left side and treating the right side as the answer. Judging by looks instead of working it out: 3 × 5 = 7 × 2 is false. A slip on one side that makes a true equation look false.

At home: Say equations aloud and let your child judge: is 4 × 5 = 10 + 10 true? What about 6 × 3 = 20 − 3?

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · True or false equations · MA.4.AR.2.1

NameDate

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

True or false?

The = sign means both sides are worth the same.

18 − 8 = 2 × 5 TrueFalse

33 − 5 = 34 − 8 TrueFalse

27 − 9 = 36 − 18 TrueFalse

9 × 4 = 26 + 10 TrueFalse

11 − 2 = 16 − 7 TrueFalse

58 − 17 = 52 − 12 TrueFalse

10 × 3 = 37 − 6 TrueFalse

45 − 6 = 8 × 5 TrueFalse

Say why

Work out each side. Same value? Then it's true.

6 × 3 = 32 − 16left sideright sideTrueFalse

2 × 5 = 5 × 2left sideright sideTrueFalse

7 × 7 = 33 + 16left sideright sideTrueFalse

4 × 3 = 2 × 5left sideright sideTrueFalse

Fix it

Each one is false. Change one number to make it true.

22 + 5 = 81 − 53

320 ÷ 8 = 19 + 11

88 − 52 = 2 × 23

15 × 2 = 30 − 2

Who is right?

Work out both sides, then circle the name.

Max says 25 − 9 = 2 × 9 is true; Luna says false.MaxLuna

Orion says 86 − 14 = 8 × 9 is true; Luna says false.OrionLuna

Max says 43 − 15 = 9 × 3 is true; Nova says false.MaxNova

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA4AR21-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · True or false equations · MA.4.AR.2.1

Answer key

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

True or false?

The = sign means both sides are worth the same.

18 − 8 = 2 × 5 TrueFalse

33 − 5 = 34 − 8 TrueFalse

27 − 9 = 36 − 18 TrueFalse

9 × 4 = 26 + 10 TrueFalse

11 − 2 = 16 − 7 TrueFalse

58 − 17 = 52 − 12 TrueFalse

10 × 3 = 37 − 6 TrueFalse

45 − 6 = 8 × 5 TrueFalse

Say why

Work out each side. Same value? Then it's true.

6 × 3 = 32 − 16left side18right side16TrueFalse

2 × 5 = 5 × 2left side10right side10TrueFalse

7 × 7 = 33 + 16left side49right side49TrueFalse

4 × 3 = 2 × 5left side12right side10TrueFalse

Fix it

Each one is false. Change one number to make it true.

22 + 5 = 81 − 5322 + 5 = 81 − 54

320 ÷ 8 = 19 + 11320 ÷ 8 = 19 + 21

88 − 52 = 2 × 2388 − 52 = 2 × 18

15 × 2 = 30 − 215 × 2 = 30 − 0

Who is right?

Work out both sides, then circle the name.

Max says 25 − 9 = 2 × 9 is true; Luna says false.MaxLuna

Orion says 86 − 14 = 8 × 9 is true; Luna says false.OrionLuna

Max says 43 − 15 = 9 × 3 is true; Nova says false.MaxNova

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA4AR21-SP-FIRST at mathness.appAnswer key
Answer key

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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Florida B.E.S.T. MA.4.AR.2.1 · Decide whether equations with any of the four operations are true or false, and say why.