Solving Multi-Step Equations

SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with

rational coefficients numerically, algebraically and graphically

Students will be able to solve mulit- step equations.

Equations and Inequalities 2FHS

Solving Equations

To solve more complex equations, it is usually easier to follow a certain order.

1.We first want to combine all like terms.

2.Next we want to perform any operations necessary to combine all variables on the same side of the equal sign.

3.We then want to perform any addition or subtraction necessary to solve the equation.

4.And finally we want to perform any multiplication or division necessary to solve the equation.

Equations and Inequalities 3FHS

Here are some examples for solving multi-step equations.

Solving Multi-Step Equations

4 52

x

4 4 2 2

3 12x3 12

3 3

x

4x

92

x

2 9 22

x

18x

3 2 14 x

Equations and Inequalities 4FHS

More Examples

103 1 9 p p

102 1 9 p1 1

102 10p

10[ .098]

102 p or

2(9 ) 4 d

18 2 4 d18 18

2 14 d

2 14

2 2

d

7d

102 10

102 102

p

Equations and Inequalities 5FHS

Here are some examples for solving multi-step equations.

Examples:

4 (9 ) d d

d d4 4 y y

2y3 9d

3 9

3 3

d

3d

5 2 4 y y 4 9 d d