Mixed Problem Solving

Integrate multiple concepts to solve complex, multi-step real-world problems.

7th Grade

Problem Solving

~45 min

🎮 Interactive Activity: Multi-Step Problem Solver

Solve problems step by step!

A rectangle has length 8 and width 5. Find perimeter and area.

🎮 Interactive Activity: Word Problem Solver

Translate word problems into math and solve!

Sarah has $50. She spends $15 on books and $12 on lunch. How much does she have left?

1. Problem-Solving Strategies

Key Strategies

Use these strategies to tackle complex problems effectively.

1. Understand the Problem

• Read carefully and identify what's being asked

• List given information

• Identify what you need to find

2. Plan Your Approach

• Break into smaller steps

• Choose appropriate formulas or methods

• Consider if you need multiple concepts

3. Solve and Check

• Work through each step carefully

• Check if your answer makes sense

• Verify calculations

2. Multi-Step Problems

3. Word Problems

4. Real-World Applications

5. Common Errors & Tips

6. Success Tips

Frequently Asked Questions

Practice Time!

Practice Quiz

Questions

Correct

Score

A rectangle has length 12 and width 8. What is its area?

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Solve: 2x + 5 = 17

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If 4 apples cost $2, how much do 10 apples cost?

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A triangle has angles 50° and 70°. What is the third angle?

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What is the mean of 8, 12, 10, 14, 16?

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If f(x) = 3x - 2, what is f(5)?

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What is the probability of rolling a 4 on a standard die?

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Solve: x + 8 > 15

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What is the circumference of a circle with radius 5? (Use π ≈ 3.14)

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A bag has 6 red and 4 blue marbles. What's P(red)?

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