Solve equations with a bracket like 3(x + 4) = 21

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo's fraction challenge card says 3(x + 1/3) = 5. What is x?

   4/3
2. 2.

   Noah meets a negative number outside the parentheses: -2(x + 5) = 8. What is x?

   -9
3. 3.

   Ren solves 2.5(x + 2) = 15 with a freshly sharpened pencil. What is x?

   4
4. 4.

   Tala solves 5(x + 3) = 40 the distribute-first way. Which equation comes from spreading the 5 over the parentheses?

   • x + 15 = 40
   • 5x − 15 = 40
   • 5x + 15 = 40
   • 5x + 3 = 40
5. 5.

   Zee solves 4(x − 2) = 20 the distribute-first way. Which equation comes from spreading the 4 over the parentheses?

   • x − 8 = 20
   • 4x + 8 = 20
   • 4x − 8 = 20
   • 4x − 2 = 20
6. 6.

   Bo tests four guesses for 6(x + 6) = 48. Which value of x makes it true?

   • 12
   • 7
   • 14
   • 2
7. 7.

   Kira's class buys 4 kites. Each kite costs the same, and each needs $2 of string too. The class spends $36 in all. How many dollars does one kite cost?

   $7
8. 8.

   Luz and 4 friends each buy a play ticket and a $1.50 cookie. They spend $22.50 in all. How many dollars does one ticket cost?

   $3
9. 9.

   Noah solves 3(x + 4) = 21 by dividing first: divide both sides by 3, then subtract 4 from both sides. Which arithmetic does the same steps in the same order?

   • (21 ÷ 3) − 4
   • (21 − 4) ÷ 3
   • 21 ÷ 3
   • (21 ÷ 3) + 4
10. 10.

    Ren solves -4(x + 3) = 20 by dividing first: divide both sides by -4, then subtract 3 from both sides. Which arithmetic does the same steps in the same order?

    • (20 ÷ (-4)) − 3
    • 20 ÷ (-4)
    • (20 ÷ (-4)) + 3
    • (20 − 3) ÷ (-4)