Chapter 7

Vocabulary

100

a term without a variable

constant

200

a number attached to a variable

coefficient

300

expressions that have the same value

equivalent expressions

400

these are separated by addition and subtraction signs

terms

500

these have the same variable and the same exponent

like terms

Parts of a Term

100

3x+10

What is the constant?

10

200

3x+2x+5

How many terms?

3

300

-2x+3y-6

What are the coefficients?

-2, 3

400

-4x+5x-6+7

Combine like terms.

x+1

500

-2x+3y-7x+3y-7+1

Combine like terms.

-9x+6y-6

Distribute!

100

2(a+b)

2a+2b

200

3(c+3)

3c+9

300

2(a-b)

2a-2b

400

5(5-2)

15

500

-2(b-9)

-2b+18

Adding/Subtracting

100

(2x+1)+(3x+9)

5x+10

200

(-3x+1)+(9x+4)

6x+5

300

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

5x+1

400

(3x-1)-(5x+3)

-2x-4

500

(9x-1)-(9x-1)

0

Factoring

100

5x+15

5(x+3)

200

7x-49

7(x-7)

300

2x-15

cannot be factored

400

35x+7

7(5x+1)

500

20w+45wt

5w(4+9t)