Solving Linear Equations: Distributive Property

Question 1

Which of these equations have no solution? Check all that apply.2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x – 3)4(x + 3) = x + 124 – (2x + 5) = (–4x – 2)5(x + 4) – x = 4(x + 5) – 1

Revolt · Accepted Answer

2(x + 2) + 2 = 2(x + 3) + 1; 2x + 3(x + 5) = 5(x – 3); 5(x + 4) – x = 4(x + 5) – 1

Question 2

Use the drops-downs to justify how Heidi arrived at each step.

Revolt · Accepted Answer

Step 1:: distributive property; Step 2:: combine like terms; Step 3:: subtraction property of equality; Step 4:: addition property of equality; Step 5:: division property of equality

Question 3

✔ combine like termsdistributive propertydivision property of equalitysubtraction property of equality

Revolt · Accepted Answer

✔ combine like terms

Question 4

combine like termsdistributive propertydivision property of equality✔ subtraction property of equality

Revolt · Accepted Answer

✔ subtraction property of equality

Question 5

Step 4:[___]

Revolt · Accepted Answer

addition property of equality

Question 6

Step 5:[___]

Revolt · Accepted Answer

division property of equality

Question 7

⇒ 1

Solving Linear Equations: Distributive Property Answers

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