Lesson 50: Solving Multi-Step Equations — Practice Questions

1. 1. Solve for the variable $y$ in the equation $3y + 5 = 26$. The value of $y$ is ___.

2. 2. What is the correct first step to solve the equation $5m - 9 = 21$?

   • A. Add 9 to both sides.
   • B. Subtract 9 from both sides.
   • C. Divide both sides by 5.
   • D. Multiply both sides by 21.

3. 3. If $8k + 11 = 75$, what is the value of $k$? $k = $ ___.

4. 4. Solve the equation $2p + 15 = 45$ for the variable $p$.

   • A. p = 10
   • B. p = 15
   • C. p = 30
   • D. p = 60

5. 5. Find the value of $z$ that makes the equation $10 + 6z = 52$ true. $z = $ ___.

6. 6. Solve for $x$ in the equation $6x + 5 - 2x = 21$. The value of $x$ is ___.

7. 7. What is the correct first step to solve the equation $8y - 15 - y = 20$ after combining like terms?

   • A. $7y - 15 = 20$
   • B. $9y - 15 = 20$
   • C. $8y - 15 = 20 + y$
   • D. $7y = 35$

8. 8. Find the value of $a$ that solves the equation $5a + 12 + 3a = 60$. The value of $a$ is ___.

9. 9. What is the simplified form of the equation $9m + 5 - 4m = 25$ after combining like terms?

   • A. $5m + 5 = 25$
   • B. $13m + 5 = 25$
   • C. $9m + 1 = 25$
   • D. $5m = 20$

10. 10. Solve for $c$ in the equation $10c - 4 - 3c = 17$. The value of $c$ is ___.