Grade 8 Math Quiz: Checking Solutions & Interpreting Context

📚 Quick Study Guide

• 🔢 Checking Solutions: Substitute your answer back into the original equation to see if it makes the equation true.
• ⚖️ Interpreting Context: Understand what the numbers and variables represent in the real world. Pay attention to units!
• ➕ Addition/Subtraction: Look for keywords like 'sum', 'difference', 'increased by', 'decreased by'.
• ✖️ Multiplication/Division: Look for keywords like 'product', 'quotient', 'times', 'per'.
• 📐 Geometry Formulas: Remember area formulas (e.g., rectangle: $A = lw$, triangle: $A = \frac{1}{2}bh$) and volume formulas (e.g., cube: $V = s^3$).
• 💡 Problem-Solving Steps: 1. Read the problem carefully. 2. Identify what you need to find. 3. Choose a strategy. 4. Solve the problem. 5. Check your solution.

Practice Quiz

1. Question 1: Sarah buys a shirt for $15 and pants for $25. She pays with a $50 bill. How much change does she receive?
   1. $5
   2. $10
   3. $12
   4. $20
2. Question 2: Solve for x: $2x + 5 = 15$
   1. x = 5
   2. x = 10
   3. x = 20
   4. x = 40
3. Question 3: A rectangle has a length of 8 cm and a width of 5 cm. What is its area?
   1. 13 cm²
   2. 26 cm²
   3. 40 cm²
   4. 80 cm²
4. Question 4: John runs 5 km in 30 minutes. What is his average speed in km/hour?
   1. 2.5 km/hour
   2. 5 km/hour
   3. 10 km/hour
   4. 15 km/hour
5. Question 5: A store sells apples for $0.75 each. How much will 8 apples cost?
   1. $4
   2. $5
   3. $6
   4. $7
6. Question 6: If 30% of a number is 60, what is the number?
   1. 100
   2. 120
   3. 180
   4. 200
7. Question 7: A cube has a side length of 4 cm. What is its volume?
   1. 12 cm³
   2. 16 cm³
   3. 48 cm³
   4. 64 cm³