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.

   Luz works on 5(x − 0.4) = 6 during a rainy recess. What is x?

   1.6
3. 3.

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

   4/3
4. 4.

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

   4
5. 5.

   Ari spreads the -2 over the parentheses in -2(x + 6) = 14. Which equation comes from spreading it?

   • -2x + 6 = 14
   • -2x + 12 = 14
   • -2x − 12 = 14
   • x − 12 = 14
6. 6.

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

   • 14
   • 7
   • 2
   • 12
7. 7.

   Esme narrows 2(x − 1.5) = 5 down to four answers, tapping the pencil on the desk. Which value of x makes it true?

   • 2.5
   • 3.25
   • 4
   • 1
8. 8.

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

   • 20
   • -5
   • -1
   • -3
9. 9.

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