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.

   Kira spots 2(x + 1.5) = 8 on the decimal puzzle sheet. What is x?

   2.5
2. 2.

   Bo flips to the fraction page and finds 3(x − 1/3) = 5. What is x?

   2
3. 3.

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

   -9
4. 4.

   Pia circles the tricky one on the worksheet: -3(x − 1) = 15. What is x?

   -4
5. 5.

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

   4
6. 6.

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

   • 5x + 3 = 40
   • 5x − 15 = 40
   • 5x + 15 = 40
   • x + 15 = 40
7. 7.

   Jun's study group has four answers for -4(x + 2) = 12. Which value of x makes it true?

   • -1
   • -5
   • -3
   • 20
8. 8.

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

    Pia solves 5(x − 2) = 30 by dividing first: divide both sides by 5, then add 2 to both sides. Which arithmetic does the same steps in the same order?

    • (30 ÷ 5) + 2
    • (30 + 2) ÷ 5
    • (30 ÷ 5) − 2
    • 30 ÷ 5