Multi-step equations with fractions, decimals and brackets

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Luz unpacks (x + 5)/4 − 2 = 1, one equal part at a time. What is x?

   7
2. 2.

   Tala unwraps 22 − 3(x + 1) = -5 very carefully. What is x?

   8
3. 3.

   Zee meets a half outside the brackets: (1/2)(x − 4) + 3 = 9. What is x?

   16
4. 4.

   Ari's decimal challenge reads 0.5(x + 3) − 1.2 = 2.3. What is x?

   4
5. 5.

   Jun's garden bed is a rectangle. Its length is 4 feet more than its width, and the fence around it is 28 feet. How many feet wide is the bed?

   5
6. 6.

   Kira's doll quilt has 4 plain and 2 patterned strips. A patterned strip is 1 inch wider, and the quilt is 20 inches across. How wide is a plain strip, in inches?

   3
7. 7.

   Luz's card has the total on the left: 41 = 3(x + 2) + 2x. What is x?

   7
8. 8.

   Noah's puzzle writes the answer first: 49 = 4(x + 1) + x. What is x?

   9
9. 9.

   Ren checks four guesses for 19 − 2(x + 4) = -3 on paper. Which value of x makes it true?

   • 7
   • -15
   • 15
   • 9
10. 10.

    Tala has four possible answers for 63 = 3(x + 3) + 3x. Which value of x makes it true?

    • 10
    • 12
    • 9
    • 18