Problem Solving
Distributive Property
1 step equations
2 Step Equations
Correcting
100

Juris played basketball for 6 hours out of those hours she made 24 shots, how much shots did she make each hour.

6h = 24

divide both by 6

h = 4

100

6(x + 7) =42

6(x+7) = 42

6x + 42 = 42

Divide both by 42

6x = 0

Divide both by 0.  x = 0

100

7x = 42

7x = 42

7x/7   42/7

x=6

100

2x - 15 = 37

2x - 15 = 37

divide both by 15

= 52     2x 52

        divide both by 2

      x = 26

100

6x + 3 = 8

      -3    -3

      6x = 5

     6x/6  5/6

       x= 1.2


Correct

200

Sally works at the gas station; she makes $15 dollars and hour. she gets $45 of tips today her total income is $450 how many hours did she work this week. 

Sally works 27 hours 

200

5(x + 10) = 100

5(x + 10) = 100

5x + 50 = 100

      - 50    -50

5x/5 = 50/5 x=10

200

5x=30

5x=30 

5x/5 = 30/5

x=6


200

 10x+15=45

10x+15=45 

    -15    -15 

10x/10 = 30/10 x=3 

200

5x+3=15

   -3 -3 

5x/5 12/5   x=2.4

correct 

300

Sammy sells cupcakes at her school for $5 each. Last week, she made $120. How many cupcakes did she sell?

5c=120

5c/5 120/5

c=24

300

7(5x-3) = 49

35-21=49

    +21  +21

35x = 70  35x/35 70/35

x=2

300

4x=24


4x=24

▭ | ▫︎▫︎▫︎▫︎▫︎▫︎


▭ | ▫︎▫︎▫︎▫︎▫︎▫︎


▭ | ▫︎▫︎▫︎▫︎▫︎▫︎


▭ | ▫︎▫︎▫︎▫︎▫︎▫︎ 


300

4x+2=18

4x+2=18

      -2  -2 

4x=16

4x/4 16/4

x=4 

▭ ▭ ▭ ▭  ▫︎▫︎ |  ▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎


                   ▪︎▪︎                                           ▪︎▪︎


▭ ▭ ▭ ▭   |  ▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎▫︎

    

▭  | ▫︎▫︎▫︎▫︎

▭  | ▫︎▫︎▫︎▫︎

▭  | ◽︎◽︎◽︎◽︎

▭  | ◽︎◽︎◽︎◽︎

300

5(6x-7) = 48

30x-35=55

      +35

30X= 70

divide both by 30 

x= 2.33

Incorrect

5(6x-7) =  55

30x-35= 55

      +35  +35

30x=90

30x/30 90/30

x=3

400

Sarah is buying 6 matching shirts for a school event. She sees a $15 off discounts for seniors graduating. The total for the 6 shirts are $255 before tax. What is the original price per shirt.

6s - 15 = 255

      +15  +15

        6s =  270

       6s/6 = 270/6 

           s=45

   

400

5(3y - 9)= 111

15y - 45 = 75

      + 45  +45

   15y/15 = 120/15

           y=8

400

3x = 15

3x = 15

3x/3  15/3

x= 5

  |◻◻◻◻◻◻◻◻◻◻◻◻◻◻◻

▭  | ◻◻◻◻◻

▭  | ◻◻◻◻◻

▭  | ◻◻◻◻◻

400

4s - 2 = 10

4s - 2 = 10    

   + 2   + 2           

      4s/4 = 12/4

 s= 3

▭▭▭▭ ▪︎▪ |◻◻◻◻◻◻◻◻◻◻

         ◻◻         ◻◻ 

  

▭ ▭ ▭ ▭   |◻◻◻◻◻◻◻◻◻◻◻◻

▭| ◻◻◻

▭| ◻◻◻

▭| ◻◻◻

▭| ◻◻◻

400

x/7 + 13= 16

       - 13   -13

         x/7 = 3

          x = 3

incorrect 

x=21

M
e
n
u