Answers Math 8Solving with the Distributive Property

Solving with the Distributive Property Answers

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Follow the steps and finish the solution. What is the value of x?

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Which table shows the correct methods used to justify the solution steps?

A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, distributive property, addition property of equality.

A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, combine like terms, addition property of equality, division property of equality.

A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality.

A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, addition property of equality, distributive property.

Sarita showed the steps to solving the equation. StepsSarita’s SolutionSarita’s Verification1 23 4 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?

Sarita’s solution is correct. She made an error in her verification.

Sarita was supposed to add the 5 and 7 in the first step.

Sarita added +13 instead of in the fourth step.

Sarita was supposed to use the division property of equality in the third step.

Maria solved the equation. What methods did she use and in what order did she use them?

combining like termsdistributive propertyaddition property of equalitydivision property of equality

distributive propertyaddition property of equalitysubtraction property of equalitydivision property of equality

distributive propertycombining like termsaddition property of equalitydivision property of equality

distributive property of equalityaddition property of equalitycombining like termsdivision property of equality

Which property is used in the first step to solve this equation?

addition property of equality

distributive property

division property of equality

commutative property

Consider the equation and its solution.Which property is used in the last step to find that ?

distributive property

addition property of equality

subtraction property of equality

division property of equality

Consider the equation and its solution.What number should be in the empty box?

Negative 30

Negative 2

Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

4 (x minus 5) = 35 is equivalent to 4 x = 40

2 (x minus 6) = negative 35 is equivalent to 2 x = negative 23

9 (x minus 6) = negative 35 is equivalent to 9 x = negative 29

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.How many feet of fencing will George need for the dog run?

22 feet

68 feet

76 feet

82 feet

Sanjay solved the equation below. Which property did he use to determine that is equivalent to ?

distributive property of equality

subtraction property of equality

multiplication property of equality

division property of equality

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Solving with the Distributive Property Answers

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