Algebra Equations Variables on Both Sides

What is the next step to solve for x?

• x = -20x - 105

• x = 20x + 105

• x = -20x + 105

• x = 20x - 105

How many times is the distributive property used in this solution?

• 0

• 1

• 2

• 3

To solve equations like this one with variables on both sides you need to use...

• ...only the order of operations PEMDAS.

• ...only the reverse order of operations SADMEP.

• ...BOTH the order of operations PEMDAS and the reverse order of operations SADMEP.

What is the next step to solve for x?

• + 31 to both sides; 38 = 6x

• + 31 to both sides; 24 = 6x

• - 31 to both sides; -38 = 6x

• - 31 to both sides; -24 = 6x

What is the next step to solve for x?

• ÷ 24 to both sides; 1/4 = x

• ÷ 24 to both sides; 1/6 = x

• ÷ 6 to both sides; 1/4 = x

• ÷ 6 to both sides; 4 = x

Summarize the steps to solve the equation.

• 1) combine like terms; inverse - with +

  2) inverse + with -

  3) inverse ÷ with ⋅

• 1) combine like terms; inverse + with -

  2) inverse - with +

  3) inverse ⋅ with ÷

What is the next step to solve for x?

• + 6x to both sides; 9x + 10 = 40

• + 6x to both sides; 3x + 10 = 40

• - 6x to both sides; -9x + 10 = 40

• - 6x to both sides; -3x + 10 = 40

What is the next step to solve for x?

• ⋅ 3 to both sides; x = 90

• ÷ 3 to both sides; x = 10

Summarize the steps to solve the equation.

• 1) combine like terms; inverse - with +

  2) inverse + with -

  3) inverse ⋅ with ÷

• 1) combine like terms; inverse + with -

  2) inverse - with +

  3) inverse ÷ with ⋅

Which of the following is NOT a possible 1st step?

• Inverse + 10 with - 10

• Distribute -2 to both 2x and - 7

• Inverse ÷ 5 with ⋅ 5

• Inverse + 17 with - 17