Math Project .

One Step & Two Step Equations .

how to solve one step equations .

First all you have to do is make sure you only have variables on one side of the equal sign and numbers on the other side , then make sure the number in front of the variable is equal to one . Try to get rid of the variable , so you take the closes number to the variable and either add or subtract it from the other number .

How to solve two step equations .

First thing you want to do is Identify the variable . Second thing you do is add/subtract whole numbers so theyre on one side . Third thing to do is multiply/divide to get the variable by itself . Last thing just to make sure is check your work .

One Step .

1. Multiplcation . (3/2 x 2/3y = 6/12 x 3/2 ) y=18

2. Divisiom ( 7x = 21 )

                      7      7

                       x = 3

3. Addition (X+2=18)

                          2    2

                           x=16

4. Subtraction (6+T =14)

                        -6        -6

                             T=8

5. Fractions (6 

                     -     / 2 = 3/6

                     12

Two Step .

-3x-6=12

-3x-6+6=12+6

-3x=18

-3x = 18

-3      -3

x=-6

 

2. 18x+(-9) = 9

              9      9

 18x              18

18                 18

x=1

 

3. x + 7 = -3

   5    -7     -7

x            = -10

5                 x5

x = -50

 

4. -7 k+14 = -21

     10             -14    10 x 7 K = -35 x 10

    -7     18                5

K= 50

Distributive Property .

1.)3 (x-2) = 21

3x-6 =21

3x-6+6=21+6

3x=27

3x   27

3      3

x=9

 

2.) 3 (2x+2) -4 (x-5) =18

6x+6-4x+20=18

6x-4x+6+20=18

2x+26=18

2x+26-26=18-26

2x= -8

2x = -8

2       2

x= -4

Combining like terms .

1. -6x+3x= -21

-6+3= -3

-3x = -21

-3        -3

x=7

 

2. 2w-3x-8w

2+(-8) = -6

What to do when theres an x on both sides .

 

Final Quiz .

1. 10 + x = 4

2. 1 + x = -7

3. -15 + x = -9

4. x + -19 = 15

5. 6 + x = -14

6. 9/3x = -2

7. 5x7x= 1

8. -9x 4x = 10

9. 3 + 9x = -1

10. -6x - 1 = -9

Answer Key .

1. -6

2. -8

3. 6

4. 34

5. -20

6. -2/3

7. 1/35

8. -5/18

9. -4/9

10. 4/3