Solving Equations Multi-Step and Word Problems

Find the error if one exists. Click on the image to enlarge it.

• There is a mistake in the RED step when the person distributed.

• There is a mistake in the BLUE step when the person combined like terms on the both sides of the equation.

• There is a mistake in the PURPLE step when the person subtracted 3x on both sides.

• There is a mistake in the GREEN step when the person said the final answer is No Solution.

• There is no mistake.

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

4(2a + 3) = −3(a − 1) + 31

• a = 4

• a = -2

• a = -4

• a = 2

-3x - 4 ( 4x - 8) = 3 ( -8x -1 )

• x = 7

• x = 8

• x = -7

• x = 6

Solve the equation:

½ (2x + 6) = 3x + 13

• x=5

• x = 8

• x = -5

• x = 7

What is the first step to solve this equation? 3x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add the 2a and a 

• Add 4 to both sides

• Distribute +4 to the a and -5

• Distribute -4 to a and -5

What is the next step you should take?

1 + 18n = 33

• subtract 1 to both sides

• collect the numbers to the right

• add 1 to both sides

• multiply 18 to both sides

What is the firs step in solving for the variable?

• Distributive property

• Combine Like Terms

• Move the variables to the same side

• Solve for the variable

Which is the correct order in which to solve multi-step equations?

• Distribute

  Combine like terms

  Get the variable on one side by add or subtracting

  Divide or multiple

• Add or subtracting

  Distribute

  Combine like terms

  Divide or multiple

• Divide or multiple

  Add or subtracting

  Distribute

  Combine like terms