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.

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

   1.6
2. 2.

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

   2
3. 3.

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

   -4
4. 4.

   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
5. 5.

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

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

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

   • 14
   • 2
   • 12
   • 7
7. 7.

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

   • -5
   • -3
   • -1
   • 20
8. 8.

   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 ÷ 3) + 4
   • (21 ÷ 3) − 4
   • (21 − 4) ÷ 3
9. 9.

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