Lesson 4: Solving Equations Using Multiplication or Division — Practice Questions

1. 1. Solve for the variable in the equation $8y = 72$. The value of $y$ is ___.

2. 2. Which operation should be used to solve the equation $\frac{x}{7} = 14$?

   • A. Multiply both sides by 7
   • B. Divide both sides by 7
   • C. Subtract 7 from both sides
   • D. Add 14 to both sides

3. 3. What is the value of $k$ in the equation $\frac{k}{4} = 11$? The value of $k$ is ___.

4. 4. Solve for $w$ in the equation $\frac{3}{5}w = 15$. The value of $w$ is ___.

5. 5. What is the solution to the equation $12x = 60$?

   • A. $x = 5$
   • B. $x = 720$
   • C. $x = 48$
   • D. $x = \frac{1}{5}$

6. 6. Use the properties of equality to solve the equation $8x = 56$. What is the value of $x$? $x = $ ___

7. 7. Solve for the variable $a$ in the equation $\frac{a}{4} = 9$. $a = $ ___

8. 8. Which property of equality is used to solve the equation $5p = 45$?

   • A. Multiplication Property of Equality
   • B. Division Property of Equality
   • C. Addition Property of Equality
   • D. Subtraction Property of Equality

9. 9. Find the value of $m$ that satisfies the equation $-7m = -63$. $m = $ ___

10. 10. To solve the equation $\frac{w}{10} = 4$, what is the correct first step to isolate the variable $w$?

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