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

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Zee's puzzle of the week is (2/3)(x − 3) = 8. What is x?

   15
2. 2.

   Ari tries (5/4)(x + 2) = 15, which looks friendly but isn't. What is x?

   10
3. 3.

   Bo's card has the parentheses on the right side: -35 = 5(x + 3). What is x?

   -10
4. 4.

   Esme reads -24 = 6(x + 1) from right to left, just to be different. What is x?

   -5
5. 5.

   Jun gets 10 = 2.5(x − 1) as the warm-up. What is x?

   5
6. 6.

   Kira solves -3(x − 4) = 18 the distribute-first way. Which equation comes from spreading the -3 over the parentheses?

   • -3x − 4 = 18
   • -3x − 12 = 18
   • -3x + 12 = 18
   • x + 12 = 18
7. 7.

   Ren checks four answers for 4(x − 2) = -12. Which value of x makes it true?

   • -1
   • -5
   • -3
   • 5
8. 8.

   Bo's game has 4 levels. Each level, Bo earns the same coins and then pays 4 coins for a door. The coin total after 4 levels is -8. How many coins are earned per level?

   2
9. 9.

   Esme solves (2/3)(x + 6) = 8 by dividing first: divide both sides by 2/3, then subtract 6 from both sides. Which arithmetic does the same steps in the same order?

   • (8 ÷ (2/3)) − 6
   • (8 ÷ (2/3)) + 6
   • 8 ÷ (2/3)
   • (8 − 6) ÷ (2/3)
10. 10.

    Kira solves 1.5(x + 2) = 9 by dividing first: divide both sides by 1.5, then subtract 2 from both sides. Which arithmetic does the same steps in the same order?

    • 9 ÷ 1.5
    • (9 ÷ 1.5) − 2
    • (9 − 2) ÷ 1.5
    • (9 ÷ 1.5) + 2