AnswersWCPSS-Introductory Math CRApplying Linear Functions

Solving with the Distributive Property Answers

10 verified answers
1
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Consider the equation and its solution.What number should be in the empty box?

Question illustration
A
Negative 30
Option A
B
Negative 2
Option B
C
2
D
30
2
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Solve the equation using the distributive property and properties of equality.What is the value of a?

Question illustration
A
Negative 14
Option A
B
Negative 8
Option B
C
8
D
14
3

What property was used in step 1 to arrive at step 2?

Question illustration
A
distributive property
B
addition property of equality
C
subtraction property of equality
D
division property of equality
4

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?

A
4 (x minus 5) = 35 is equivalent to 4 x = 40
Option A
B
.
Option B
C
2 (x minus 6) = negative 35 is equivalent to 2 x = negative 23
Option C
D
9 (x minus 6) = negative 35 is equivalent to 9 x = negative 29
Option D
5

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

Question illustration
A
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.
Option A
B
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.
Option B
C
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.
Option C
D
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.
Option D
6

Which step shows the result of applying the subtraction property of equality?StepSolution1234

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
7

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

Question illustration
A
distributive property of equality
B
subtraction property of equality
C
multiplication property of equality
D
division property of equality
8

Consider the solution to the linear equation. Which describes the inverse operations used after the distributive property?

Question illustration
A
addition then division
B
subtraction then division
C
multiplication then subtraction
D
division then addition
9

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

Question illustration
A
combining like termsdistributive propertyaddition property of equalitydivision property of equality
B
distributive propertyaddition property of equalitysubtraction property of equalitydivision property of equality
C
distributive propertycombining like termsaddition property of equalitydivision property of equality
D
distributive property of equalityaddition property of equalitycombining like termsdivision property of equality
10

Henry showed all the steps he took to solve the equation. StepSimplified Expression1-234Sammy tried to verify the solution by substituting back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Question illustration
A
Step 1 is wrong because the distributive property of equality was used incorrectly.
B
Step 2 is wrong because the addition property of equality was used incorrectly.
C
Step 3 is wrong because the subtraction property of equality was used incorrectly.
D
Step 4 is wrong because the division property was used incorrectly.

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