Multi-step equations 2

Vocabulary

100

What is the difference between a variable term and a constant term?

Variable terms have a variable, constant terms do not.

200

What makes a number rational?

It can be written as a fraction.

300

What is the difference between a variable term and a constant term?

Variable terms have a variable, constant terms do not.

400

What does inverse mean?

opposite

500

What do we mean by combine in math?

Add

Distributive Property

100

When we have numbers next to parenthesis, what math operation are we doing?

Multiplication

200

Distribute 2(x+3)

2x+6

300

Distribute and solve:

2(x+3)=-2(x-3)

0

400

What is the first step in solving an equation?

Distribute if necessary.

500

Distribute:

8(3x+3)

24x+24

Combine like terms

100

What is the second step in solving an equation?

Combine like terms

200

Combine like terms:

8x-5+2x-4

10x-9

300

Combine Like terms:

5x - x - 7y +y 

4x - 6y

400

3x + 7x -2x +7 - 6y

8x + 7 - 6y

500

x + x + 3x + y + y + 5 + 3

5x + 2y + 8

Fractions and Decimals

100

Solve:

1/2 x + 3 = 2

-2

200

Find LCM and solve:

1/2x + 1/4 = -1/4

-1

300

0.21 - 0.5 = -0.29

x = 1

400

Solve

0.7x + 0.3=1.0

1

500

Clear out decimal and solve:

3.5x + 6.5 = -0.5

x=2

Multi-step equations

100

Solve:

2(x+3)=-2(x-3)

0

200

What is the last step in solving an equation?

Use inverse operation on the co-efficient. (Multiply or divide what ever is next to the variable.)

300

Solve:

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

-23

400

Solve the following:

0.03x - 0.14 = 0.02(0.1x - 0.07)

x = 2

500

Solve:

3/4x - 1/8 = 1/2x + 5

x = 39/2

or 19.5 

or 

19 1/2