Solving Linear Equations: Variables on Both Sides Answers

x =[___]

Determine which equations have the same solution set as – x + = 6x by recognizing properties, rather than solving. Check all that apply.4 – 6x + 1 = 36x – x = 6x4 – x + 1 = 6x + x = 6x5 = 30x5 = 42x

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Christopher is a graphic designer who creates business websites. It takes him 2.4 hours to complete one website page. He finds out about a new software program that will cut his time in half for completing one page, but it will take him 15 hours to learn the new program. Which equation can be used to find the number of website pages, x, that Christopher needs to create so that his time spent using the new program will be the same as his current time? How many website pages would Christopher need

The two populations will be the same after [___] years.

✔ addition property of equalitymultiplication property of equalitycombined like terms

Step 2:

addition property of equality✔ division property of equalitycombined like terms

Determine which equations have the same solution set as [image 1] – x + [image 2] = 6x by recognizing properties, rather than solving. Check all that apply.4 – 6x + 1 = 36x [image 3] – x = 6x4 – x + 1 = 6x [image 4] + x = 6x5 = 30x5 = 42x

In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.

What did you include in your response? Check all that apply.

2.4x = 1.2x✔ 2.4x = 1.2x + 152.4x + 15 = 1.2x2.4x = 1.2x – 15

101112✔ 13

What can each term of the equation be multiplied by to eliminate the fractions before solving? [image 1] x – [image 2] + 2x = [image 3] + x

x =