Grade 7 inverse operations and properties of equality quiz

📚 Quick Study Guide

• 🔢 Inverse operations are operations that undo each other. Addition and subtraction are inverse operations; multiplication and division are inverse operations.
• ➕ To solve an equation using inverse operations, perform the opposite operation to isolate the variable.
• ⚖️ The Addition Property of Equality states that if $a = b$, then $a + c = b + c$.
• ➖ The Subtraction Property of Equality states that if $a = b$, then $a - c = b - c$.
• ✖️ The Multiplication Property of Equality states that if $a = b$, then $a \times c = b \times c$.
• ➗ The Division Property of Equality states that if $a = b$, then $a \div c = b \div c$ (where $c \neq 0$).
• 🗝️ The goal when solving equations is to isolate the variable on one side of the equation.

Practice Quiz

1. What is the inverse operation of addition?
   1. Multiplication
   2. Subtraction
   3. Division
   4. Exponentiation
2. Solve for x: $x + 5 = 12$
   1. x = 17
   2. x = 7
   3. x = 60
   4. x = 2.4
3. What property of equality is demonstrated by the following: If $a = b$, then $a - c = b - c$?
   1. Addition Property of Equality
   2. Multiplication Property of Equality
   3. Subtraction Property of Equality
   4. Division Property of Equality
4. Solve for y: $3y = 21$
   1. y = 63
   2. y = 7
   3. y = 18
   4. y = 24
5. What is the inverse operation of dividing by 4?
   1. Adding 4
   2. Subtracting 4
   3. Multiplying by 4
   4. Dividing by 16
6. Solve for z: $z \div 2 = 8$
   1. z = 4
   2. z = 10
   3. z = 16
   4. z = 6
7. Which property justifies this step: If $2x + 3 = 9$, then $2x = 6$?
   1. Addition Property of Equality
   2. Multiplication Property of Equality
   3. Subtraction Property of Equality
   4. Division Property of Equality