Solving Linear Equations: Variables on Both Sides Assignment

Substitute the value of x back into the equation x + 3 - 2x = + x + 5 to justify the solution. What value of x is the solution? x =

-1

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 = 6x 4 - x + 1 = 6x + x = 6x 5 = 30x 5 = 42x

1,2,6

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 to create in order to save time using the new software program?

1. 2.4x=1.2x+15 2. 13

What can each term of the equation be multiplied by to eliminate the fractions before solving? x - + 2x = + x 2 6 10 12

12

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

3

Solve the linear equation 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1. j = -0.45 j = -0.25 j = 0.25 j = 0.45

A

Marlena solved the equation 2x + 5 = -10 - x. Her steps are shown below. 2x + 5 = -10 - x 3x + 5 = -10 3x = -15 x = -5 Use the drop-down menus to justify Marlena's work in each step of the process. Step 1: Step 2: Step 3:

Step 1: ✔ addition property of equalitymultiplication property of equalitycombined like terms Step 2: ✔ subtraction property of equalitydivision property of equalitycombined like terms Step 3: addition property of equality✔ division property of equalitycombined like terms