Linear Equations and Solutions

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

-2(x + 3) - 5 = 11

• x = - 11

• x = 2

• x = 11

• x = -2

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

5w + 5 = 8w - 10

• -5

• -2

• 2

• 5

Solve the equation

4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Determine the type of solution you will have if you get
-6=6

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

• one solution

• no solution

• infinite solutions

• one solution

• no solution

• infinite solutions

• one solution

• no solution

• infinite solutions

• one solution

• no solution

• infinite solutions