Solving Equations DTMIC

Solving Equations DTMIC

By SHAWNA SMITH-WENTZEL

​Don't foret to DTMIC

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Distribute

​ALWAYS check the expression for parenthesis and if you need to distribute!

​2(2x+5) + x = 25 + x + x

4x + 10 + x = ​25 + x + x

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Terms

Combine all like terms!

​2(2x + 5) + x = 25 + x + x​

​

4x + 10 + x = 25 + x + x

5x + 10 = 25 + 2x

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Move

Move the variables to one side and the constants to the other.

​ 5x + 10 = 25 + 2x

         -2x                    -2x

                3x + 10 = 25

                       -10   -10

                   3x   =    15

Multiple Choice

Simplify using distributive property and combine like terms

2 ( x + 10) + 5

• 2x + 15

• 2x + 25

​Isolate

Isolate the variable by using the inverse operation.

​3x   =    15

 3           3             

x=5

Check​

​Substitute the solution into the original equation.

​2(2x + 5) + x = 25 + x + x

2(2(5) + 5) +5 = 25 + 5 + 5

2(10 + 5) +5 = 25 + 5 + 5

2(15) +5 = 25 + 5 + 5

30 + 5 = 25 + 5 + 5

35 = 35

Multiple Choice

What do you do first?

5x - 2 = 3x + 4

• distribute

• move constants to one side and variables to the other side of equal sign

• isolate the variable

• combine like terms

Multiple Choice

What do you do first?

3x + 2 ( 2x - 1 ) = 33

• distribute

• combine like terms

• move constants and variables to opposite sides of the equal sign

• isolate the variable

Multiple Choice

Distribute

3x + 2 ( 2x - 1 ) = 33

• 3x + 2x - 2 = 33

• 3x + 4x - 1 = 33

• 3x + 4x - 2 = 33

• 3x + 4x + 2 = 33

Multiple Choice

What do yo do next?

3x + 2 ( 2x - 1 ) = 33

3x + 4x - 2 = 33

• distribute

• combine like terms

• move constants and variables to opposite sides of equal sign

• isolate the variable

Fill in the Blanks

Combine like terms (no spaces)

3x + 4x - 2 = 33

Multiple Choice

What is the next step?

3x + 2 ( 2x - 1 ) = 33

3x + 4x - 2 = 33

7x - 2 = 33

• distribute

• combine like terms

• move constants and variables to opposite sides of the equal sign

• isolate the variable

Fill in the Blanks

Complete the next step (no spaces)

7x - 2 = 33

Multiple Choice

What do yo do next?

3x + 2 ( 2x - 1 ) = 33

3x + 4x - 2 = 33

7x-2 = 33

7x = 35

• distribute

• combine like terms

• move constants and variables to opposite sides of the equal sign

• isolate the variable

Fill in the Blanks

Complete the next step (no spaces)

3x + 2 ( 2x - 1 ) = 33

3x + 4x - 2 = 33

7x-2 = 33

7x = 35

Multiple Choice

What do you do next?

3x + 2 ( 2x - 1 ) = 33

3x + 4x - 2 = 33

7x-2 = 33

7x = 35

x=5

• distribute

• check

• combine like terms

• isolate the variable