Real-world examples of equations for 6th graders

📚 Quick Study Guide

• ➕ Addition Equations: These equations combine two or more numbers to find their sum. Example: $3 + x = 7$
• ➖ Subtraction Equations: These equations find the difference between two numbers. Example: $y - 5 = 2$
• ✖️ Multiplication Equations: These equations show repeated addition. Example: $2 * z = 10$
• ➗ Division Equations: These equations split a number into equal groups. Example: $a / 4 = 3$
• ⚖️ Real-World Scenarios: Look for keywords like 'total', 'difference', 'product', and 'quotient' to help identify the operation needed.
• 💡 Solving for Variables: The goal is to isolate the variable (like x, y, z) on one side of the equation. Do the opposite operation to both sides.

📝 Practice Quiz

1. What equation represents: "Sarah has 15 apples and gives away 'x' apples, leaving her with 8 apples"?
   1. A) $15 + x = 8$
   2. B) $15 - x = 8$
   3. C) $x - 15 = 8$
   4. D) $8 - x = 15$
2. John buys 'y' number of candies costing $2 each and spends $12 in total. Which equation represents this?
   1. A) $y + 2 = 12$
   2. B) $2y = 12$
   3. C) $y/2 = 12$
   4. D) $12y = 2$
3. Emily divides a cake into 6 equal pieces. If each piece is 'z' in size and the whole cake is 48, what equation shows this?
   1. A) $6 + z = 48$
   2. B) $6z = 48$
   3. C) $z/6 = 48$
   4. D) $48z = 6$
4. A class has 'x' students. 5 new students join, making the total 30. Which equation represents this situation?
   1. A) $x - 5 = 30$
   2. B) $x + 5 = 30$
   3. C) $5x = 30$
   4. D) $x/5 = 30$
5. What equation can be used to find 'p', if a pizza is cut into 8 slices and each slice is 4 cm wide?
   1. A) $p + 8 = 4$
   2. B) $8p = 4$
   3. C) $p/8 = 4$
   4. D) $p - 8 = 4$
6. Lisa shares 'q' number of cookies equally among 3 friends, and each friend gets 7 cookies. Write the equation.
   1. A) $q + 3 = 7$
   2. B) $3q = 7$
   3. C) $q/3 = 7$
   4. D) $q - 3 = 7$
7. David has 'r' number of toy cars. He loses 4 of them and now has 11 cars. Which equation represents this?
   1. A) $r + 4 = 11$
   2. B) $r - 4 = 11$
   3. C) $4r = 11$
   4. D) $r/4 = 11$