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Grade 3 math worksheet focusing on writing equations with variables using real-life scenarios.

A math worksheet titled "Write equations with variables" for Grade 3, featuring three word problems involving variables, with a colorful illustration of a child and math symbols at the bottom right.

A math worksheet titled "Write equations with variables" for Grade 3, featuring three word problems involving variables, with a colorful illustration of a child and math symbols at the bottom right.

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Show Answer Key & Explanations Step-by-step solution for: Algebra Word Problems Worksheets - 15 Worksheets Library
Let’s solve each problem step by step and write equations with variables as requested.

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Problem 1:

> Sean got *m* marks for his math test. Emma got 15 more marks than Sean. Emma’s score is 94.

Step-by-step solution:

- Let Sean’s score = m
- Emma’s score = Sean’s score + 15 → m + 15
- We’re told Emma’s score is 94 → So:

> m + 15 = 94

Now, solve for m:

Subtract 15 from both sides:

> m = 94 - 15
> m = 79

Answer: Sean got 79 marks.

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Problem 2:

> There are 6 books on the desk and *b* books on the shelf. There are 37 books in total.

Step-by-step solution:

- Books on desk = 6
- Books on shelf = b
- Total books = 37

So, the equation is:

> 6 + b = 37

Solve for b:

Subtract 6 from both sides:

> b = 37 - 6
> b = 31

Answer: There are 31 books on the shelf.

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Problem 3:

> The admission for a water park for an adult is 9 dollars. The admission for a child is *x* dollars, which is 4 dollars cheaper than the adult admission.

Step-by-step solution:

- Adult admission = $9
- Child admission = x
- Child admission is $4 cheaper than adult → So:

> x = 9 - 4

Simplify:

> x = 5

Answer: Child admission is $5.

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Final Answers:



1. Sean’s score: 79 → Equation: `m + 15 = 94`
2. Books on shelf: 31 → Equation: `6 + b = 37`
3. Child admission: $5 → Equation: `x = 9 - 4`

These are simple one-step equations that model real-world situations using variables — exactly what the worksheet asks for! 📚✏️
Parent Tip: Review the logic above to help your child master the concept of solving problems algebraically worksheet.
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