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7th Grade Equation Worksheet

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7th Grade Equation Worksheet worksheet preview

7th Grade Equation Worksheet

Algebraic equations illustration

📝 Part 1: Writing Equations from Word Problems

1. Sarah has $45. She buys a book for $12 and wants to buy some pens that cost $3 each. Write an equation to find how many pens (p) she can buy.
2. A pizza is cut into 8 equal slices. If there are 3 slices left, write an equation to represent how many slices (s) were eaten.
3. The temperature dropped 15°F from the morning temperature and is now 68°F. Write an equation to find the morning temperature (t).
4. Jake's age is 4 years less than twice his sister's age. If Jake is 14 years old, write an equation to find his sister's age (a).

🔧 Part 2: Solving One-Step and Two-Step Equations

5. Solve for x: x + 7 = 15
6. Solve for y: 3y = 21
7. Solve for n: 2n - 5 = 11
8. Solve for m: m/4 + 3 = 8

🎯 Part 3: Multiple Choice - Equation Solutions

9. Which value of x makes the equation 4x - 6 = 10 true?

x = 2

x = 4

x = 6

x = 8

10. Maria solved the equation 2x + 3 = 13 and got x = 5. Is her answer correct?

Yes, x = 5 is correct

No, the correct answer is x = 8

No, the correct answer is x = 3

Cannot be determined

7th Grade Equation Worksheet - Answer Key

Answer key illustration

📝 Part 1: Writing Equations from Word Problems - Answers

1. Sarah has $45. She buys a book for $12 and wants to buy some pens that cost $3 each.

Answer: 45 - 12 = 3p or 33 = 3p

2. A pizza is cut into 8 equal slices. If there are 3 slices left, how many slices were eaten?

Answer: s + 3 = 8 or 8 - s = 3

3. The temperature dropped 15°F from the morning temperature and is now 68°F.

Answer: t - 15 = 68

4. Jake's age is 4 years less than twice his sister's age. Jake is 14 years old.

Answer: 2a - 4 = 14

🔧 Part 2: Solving Equations - Answers

5. x + 7 = 15

Answer: x = 8

Work: Subtract 7 from both sides

6. 3y = 21

Answer: y = 7

Work: Divide both sides by 3

7. 2n - 5 = 11

Answer: n = 8

Work: Add 5 to both sides, then divide by 2

8. m/4 + 3 = 8

Answer: m = 20

Work: Subtract 3 from both sides, then multiply by 4

🎯 Part 3: Multiple Choice - Answers

9. Which value of x makes the equation 4x - 6 = 10 true?

Answer: x = 4

Work: 4x - 6 = 10 → 4x = 16 → x = 4

10. Maria solved 2x + 3 = 13 and got x = 5. Is her answer correct?

Answer: Yes, x = 5 is correct

Check: 2(5) + 3 = 10 + 3 = 13 ✓

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