Expressions Basics

Combine Like Terms

100

Why can't you combine 3x + 6?

They are not like terms, the 6 does not have a variable,

200

Simplify -4x + 2x

-2x

300

Simplify -8x + 2 + 7x - 6

-1x - 4 or -x - 4

400

-5 + 10e + 11 - e

9e + 6

500

Simplify:   5b + 6.3bc + 1.8c - 4b - 0.7c - 9

b + 6.3bc + 1.1c - 9  or  b + 6.3bc + 1.1c + -9

Distributing

100

When you distribute (do rainbows), do you add or multiply?

multiply

200

-2(-3x - 4)

6x + 8

300

-7(2f + 10)

-14f - 70

400

-8(8v - 3)

-64v + 24

500

-9(-3m - 5) 

27m + 45

Factoring

100

When factoring expressions, you should find the ___ first

GCF or Greatest Common Factor

200

When factoring:  30x + 10  what is my GCF?

10

300

Factor:   -9n + 27

-9(n - 3)

400

Factor:   -24x + -20

-4(6x + 5)  

500

Factor:  -36y + -48

-12(3y + 4)

Mystery

100

Factor:

-45 + 18x

9(-5 + 2x)    or    -9(5 - 2x)

or

9(2x - 5)       or   -9(-2x + 5)

All of these are correct, but check carefully to make sure you have the negatives in the right places!

200

Distribute: 

-(5-2x)

-5+2x

300

Factor:

12x-15

3(4x-5)

400

Distribute:

(-5-3x)10

-50-30x

500

Factor:

-11-44y

-11(1+4y)

or

11(-1-4y)

Review

100

12-(-18)

30

200

(-45 + 15 - 10 )*(10)

-400

300

6+7-6-7+6*7-1

41

400

What is the actual meaning of "67"?

Answers will vary since no one actually knows

500

-3(7-(-5))

-36