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.

   Tala meets a fraction outside the parentheses: (3/4)(x + 8) = 21. What is x?

   20
2. 2.

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

   -10
3. 3.

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

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

   Luz spreads the 2.5 over the parentheses in 2.5(x + 4) = 30. Which equation comes from spreading it?

   • 2.5x + 10 = 30
   • 2.5x + 4 = 30
   • 2.5x − 10 = 30
   • x + 10 = 30
5. 5.

   Milo solves -5(x + 2) = -30 the distribute-first way. Which equation comes from spreading the -5 over the parentheses?

   • -5x + 2 = -30
   • -5x + 10 = -30
   • -5x − 10 = -30
   • x − 10 = -30
6. 6.

   Tala plays 3 rounds, scoring the same points each round and then losing 5 for a time-out. The total is -3 points. How many points does Tala score before each time-out?

   4
7. 7.

   Zee cuts 3 equal pieces of yarn. Each piece has some length plus 1/4 meter for a knot, and the pieces total 6 meters. How many meters long is a piece before the knot?

   7/4
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)
   • (8 − 6) ÷ (2/3)
   • (8 ÷ (2/3)) + 6
10. 10.

    Jun solves -6(x − 1) = 18 by dividing first: divide both sides by -6, then add 1 to both sides. Which arithmetic does the same steps in the same order?

    • (18 ÷ (-6)) + 1
    • (18 ÷ (-6)) − 1
    • 18 ÷ (-6)
    • (18 + 1) ÷ (-6)