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Rational Number Word Problems - Worksheet 4 - 7th Grade

Medium

Model temperature changes, account balances and shared quantities with signed fractions and decimals.

medium: Use larger numbers and mixed representations.

12 problems · 20-30 minutes · Skills: rational numbers, problem solving

About This Worksheet

This medium-level worksheet contains 12 problems designed for 7th Grade students practicing rational number word problems. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Read signed numbers and fractions; recall multiplication and division facts.

  • Model temperature changes, account balances and shared quantities with signed fractions and decimals.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: At dawn the temperature is -6.5°C. It rises by 7.5°C. What is the new temperature?
Solution Steps:
  1. A rise adds a positive amount to the starting temperature.
  2. -6.5 + 7.5 = 1.
Answer: 1 °C
Tip: Check your result using the method in the example before moving to the next question.
1
At dawn the temperature is -2°C. It rises by 3.25°C. What is the new temperature?
2
An account balance is $6.25. A $6.5 charge is made. What is the signed balance after the charge?
3
0.75 liters of juice are shared equally among 10 people. How many liters does each person receive? Give an exact fraction if needed.
4
At dawn the temperature is -4.75°C. It rises by 2.5°C. What is the new temperature?
5
An account balance is $5.25. A $10 charge is made. What is the signed balance after the charge?
6
2.5 liters of juice are shared equally among 4 people. How many liters does each person receive? Give an exact fraction if needed.
7
At dawn the temperature is -4.5°C. It rises by 8°C. What is the new temperature?
8
An account balance is $8.5. A $13.5 charge is made. What is the signed balance after the charge?
9
2.4 liters of juice are shared equally among 8 people. How many liters does each person receive? Give an exact fraction if needed.
10
At dawn the temperature is -10.5°C. It rises by 6.5°C. What is the new temperature?
11
An account balance is $12.5. A $18.5 charge is made. What is the signed balance after the charge?
12
0.5 liters of juice are shared equally among 3 people. How many liters does each person receive? Give an exact fraction if needed.

Answer Key

1. 5/4 °C2. -1/4 dollars3. 3/40 liters4. -9/4 °C5. -19/4 dollars6. 5/8 liters7. 7/2 °C8. -5 dollars9. 3/10 liters10. -4 °C11. -6 dollars12. 1/6 liters

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What skills does this rational numbers worksheet cover?

This worksheet focuses on rational numbers, problem solving. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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How many problems are on this worksheet?

This worksheet contains 12 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.