Lesson 5: Solving Two-Step Equations — Practice Questions

1. 1. Use the Addition Property of Equality to solve the equation $m - 5 = 15$. What is the value of $m$? $m$ = ___

2. 2. To solve the equation $p - 7 = 10$, what is the correct first step using the properties of equality?

   • A. Add 7 to both sides.
   • B. Subtract 7 from both sides.
   • C. Multiply both sides by 7.
   • D. Subtract 10 from both sides.

3. 3. Use the Multiplication Property of Equality to solve the equation $8k = 56$. What is the value of $k$? $k$ = ___

4. 4. Use the Multiplication Property of Equality to solve the equation $\frac{w}{4} = 6$. What is the value of $w$? $w$ = ___

5. 5. To solve the equation $\frac{a}{3} = 9$, which property is used and what is the correct operation?

   • A. Addition Property; add 3 to both sides.
   • B. Multiplication Property; multiply both sides by 3.
   • C. Multiplication Property; divide both sides by 3.
   • D. Addition Property; subtract 3 from both sides.

6. 6. A number is multiplied by 4, and then 5 is added to the result. If the final answer is 41, what was the original number? ___

7. 7. Maria bought 5 concert tickets and paid an 8 dollar service fee. Her total was 53 dollars. What was the price of a single ticket?

   • A. $7
   • B. $8
   • C. $9
   • D. $11

8. 8. If you double Leo's age and then subtract 6 years, you get 20. How old is Leo? ___ years old.

9. 9. To solve "A number is multiplied by 5, and then 8 is subtracted to get 32," what is the correct first step when working backwards?

   • A. Add 8 to 32
   • B. Subtract 8 from 32
   • C. Multiply 32 by 5
   • D. Divide 32 by 5

10. 10. A number is multiplied by 7. Then, 11 is subtracted from the product. If the final result is 45, the original number is ___.