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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