Multi-Step Equations

Previous Topics

100

What is the domain of the following set of ordered pairs?

{(-2,-6), (0,-3), (2,0), (3,4), (7,2)}

{-2, 0, 2, 3, 7}

200

What are the measures of center and spread?

Measures of Center: Mean, Median, and Mode

Measures of Spread: Range, IQR, and Standard Deviation

300

What type of correlation does the following r value have? r = -0.88

Strong Negative Correlation

400

Covert the following:

850,000 seconds to weeks

1.4 weeks

500

What is the 10th term of the following arithmetic sequence: -1, 3, 7, 11, ...

a10 = 35

Vocabulary

100

A _____ is an unknown amount/quantity or value.

A variable is an unknown amount/quantity or value.

200

___ ___ have the same variable or exponent. We combine these together

like terms 

300

The term used for getting the variable by itself

Isolate

400

_________ variable whose variation does not depend on that of another.

Independent

500

The steps to solving multi-equations are: 

The steps to solving multi-step equations are 1. Distributive Property 2. Combine like terms 3. Get the variable on one side of the equal sign and constants on the other side. 4. Solve using inverse operations.

1-2 step equations

100

-7m = 63

-7m = 63 m=-9

200

n/7 = -8

n= -56

300

-2k-4=8

k=-6

400

2x + 6 = 6

x=0

500

(h+6)/3=20

h = 54

Distributive Prop. & Combining Like Terms

100

6m – 5m + 1

m+1

200

-6(4x - 5)

-24x + 30

300

9 -3d(6 + 9)

9 - 45d 

or 

-45d + 9

400

4(5f + 3) + 11 

20f + 23

500

3(5x - 2) + 9x - 4

24x - 10 

Multi-Step Equations

100

3(2x - 9) = 3

x = 5

200

(2x)/3 - 5 = 11

x = 24

300

25= 3 + 8 (1 + 7x)

x = 0.25

400

-6x - 4x = 2x + 48

x = -4

500

4(-6x + 1) = 24x - 20

x = 0.5