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.

   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 + 12 = 18
   • -3x − 4 = 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?

   • -5
   • -3
   • -1
   • 5
8. 8.

   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
9. 9.

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