Digits, Grade 8, Volume 2, Homework Helper

15-1: TEKS Practice

  • 1. Think About the Process

    • a. Apply the Distributive Property to rewrite 3(6−x)=3.

      • A. 6 , open 3 close , plus 6 x equals 3

      • B. 3 , open 6 close , minus 3 x equals 3

      • C. 3 , open 6 close , plus 3 x equals 3

      • D. 6 , open 3 close , minus 6 x equals 3

    • b. The solution of the equation is ▪.

  • 2. Use the Distributive Property to solve the equation 3(x+4)=27.

  • 3. Use the Distributive Property to solve the equation 3(x−6)+6=5x−6.

  • 4. Think About the Process You are given the following equation.

    3 fourths , k minus 10 equals 1

    • a. You want to use the Distributive Property to solve the equation. By what number would you multiply each side of the equation?

    • b. What is the solution of the equation?

    • c. Describe another way to find the solution.

  • 5. Estimation

    • a. Approximate the solution of the equation below by rounding all values to the nearest integer.

      4 fifths , m plus 4 equals 12

    • b. After estimating, use the Distributive Property to solve the equation.

  • 6. Use the Distributive Property to solve the equation 8 plus , 1 seventh , x equals 9.

  • 7. Use the Distributive Property to solve the equation z over 2 , plus 4 equals 5 minus , z over 2 , .

  • 8. Use the Distributive Property to solve the equation.

    4 x minus 2 . open . x minus 2 . close . equals minus 9 plus 5 x minus 8

  • 9. Donavon and some friends go to a fair. Donavon spends 1 half of his money on rides. He then spends $3 on food. At the end of the day, Donavon has $2 remaining. Let d represent the amount of money Donavon brought to the fair.

    • a. Which equation represents the situation?

      • A. 1 half , d minus 3 equals 2

      • B. 2 d minus , 1 half , equals 3

      • C. 1 half , d plus 3 equals 2

      • D. 1 half , minus 3 d equals 2

    • b. How much money did Donavon bring to the fair?

  • 10. Peter has to use the following information to find the original number. If you double a number and then add 40, you get 2 elevenths of the original number. Let x represent the original number.

    • a. Which equation represents the situation?

      • A. 2 elevenths , plus 2 x equals 11

      • B. 2 x plus , 2 elevenths , equals 40

      • C. 2 x plus 40 equals , 2 elevenths , x

      • D. 40 x minus 2 equals , 2 elevenths , x

    • b. What is the original number?

  • 11. 

    • a. Writing Use the Distributive Property to solve the equation 2(m+2)=22.

    • b. Describe what it means to distribute the 2 to each term inside the parentheses.

  • 12. 

    • a. Reasoning Use the Distributive Property to solve the equation 28−(3c+4)=2(c+6)+c.

    • b. Explain why the Distributive Property makes it possible to solve this equation.


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Table of Contents

Digits, Grade 8, Volume 2, Homework Helper Unit D: Two-Dimensional Shapes Unit E: Measurement and Data Unit F: Personal Financial Literacy Unit G: Step-Up Lessons English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties