Solving Linear Equations

one step equations

1

Constant of x+12=25

25

2

Constant of y−7=15

15

3

Constant of 5m=30

30

4

Constant of −4p=−24

-24

5

Constant of 4.3w=9

9

two step equations

1

Constant of 3x+8=17

+8

2

Constant of 2m−5=11?

-5

3

Constant of −6w−10=2 ?

-10

4

Constant of 7p+0.5=14.5 ?

0.5

5

Constant of 4y+1=6 ?

+1

which is not a linear equation

1

Which of the following functions are nonlinear?  f(x) = 4  or  f(x) = 3x -

F (x) = 3x -

2

Which of the following equations is non-linear? 2x−3y=9 or y=x2−4

y=x2−4

3

Which of the following equations is non-linear? y=3x2−7 or x−5y=20

y=3x2−7

4

Which of the following equations is non-linear? y=5x or y=41x

y=5x

5

Which of the following equations is non-linear?x=−7 or y=x2−4

y=x2−4

steps to solving linear equations

1

What is the first step to solving a linear equation ?

first simplifyboth sides

2

What is the second stop to solving a linear equation?

move variables to one side and constants to the other using addition/subtraction,

3

What is the third step to solving linear equations?

 isolate the variable by dealing with its coefficient (multiply/divide)

4

What is the fourth step to solving a linear equation?

check your solution

5

What is the last step to solving a linear equation ?

 ensure that your answer is true

Inverse operation

1

z−9=1

Addition 

2

x+15=20

Subtraction 

3

Which inverse operation should you use for this equation ( x+7=15 ) ?

Subtraction 

4

8y=72

Division 

5

Which inverse operation should you use for this equation ( 3x=15 ) ?

Division