2 Step Equations

Opposites Attract

100

Multiplication

Division

200

-

+

300

Division

Multiplication

400

+

-

500

2x + (-75) = -45

What is the first inverse operation that should take place?

Addition

Zero Pairs

100

-7

7

200

62

-62

300

+2

-2

400

-10

+10

Step by Step-4x-27 = -11

100

List the first step 

1) Identify the coefficient, variable, and constant(s)

-4 = coefficient

x = variable

27 and -11 = constants

200

What is step #2 and #3

Combine like terms and create a zero pair

+27 to both sides

300

#4 and #5

Isolate the variable and rewrite equation

-4x= 16

400

#6 

Solve

x=-4

500

List all the steps to solve a 2 step equation AND perform the last step

1) Identify the coefficient, variable, and constant(s)

2) Combine like terms

3) Create a zero pair

4) Rewrite the equation

5) Isolate the variable

6) Solve

7) Substitute x value into equation to double check your work

-4(-4)-27 = -11

Addition and Subtraction

100

2x + 10 = 28

9

200

-12x - 7 = 53

-5

300

30.16 = 17.56 + 5x

2.52

400

An equation is shown below.

9x + a = 49

If x = 6, which statement about the value of a is true?

F) The value of a must be 5 since 54-49 = 5

G) The value of a must be -5 since 49-54=-5

H) The value of a must be 34 since 49-15=34

J) The value of a must be -34 since 15-49=-34

G

500

Walter and Brian each have a CD collection

- The number of CDs in Walter's collection can be represented by x

- The number of CDs in Brian's collection is 3 times the number in Walter's Collection

- The total number of CDs in both collections is 144

What is x, the number of CDs in Walter's collection?

a) 108

b) 48

c) 72

d) 36

36

Write the equation

100

A trampoline center offers open jumping for $6 per hour plus a $3 charge for the gripping socks. Write an equation that shows the total cost, y, for jumping x hours using the gripping socks?

y = 6x + 3

200

When 12 is subtracted from 4 times a number the result is 24. Write an equation that can be used to find the number.

4x-12=24

300

A baker is baking a special order of biscuits. Each tray holds 18 biscuits. Write the equation below that can be used to determine t, how many more trays of biscuits need to be baked.

18t + 90 = 162

400

Alex earned 8 points for each of x levels he completed and lost 5 points for each of y levels he did not complete. He finished with a total of 16 points.

Write the equation

8x - 5y = 16

500

I am a number,
Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty!

7x + 50 + 40 = 300

7x = 300 − 90

7x = 210

x = 210/7

x = 30