Rules
Substitute and Solve
Distribution
Exponent
Factor and Fraction
100

Which of the following is an expression?

2x = 10

n3-64

x > 9x + 7

n3-64

100

x = 3

9 + 3x

18

100

Distribute the outside term and rewrite (DO NOT SOLVE):

3(2x - 5y)

3(2x) + 3(-5y)

100

x = 3

x- 7

(3)- 7 = 2

100

Fully Factor 18.

2 * 3 * 3

200

Fill in the blank for the Multiplication Rule:

Negative times negative equals to __________.

Positive times negative equals to __________.

Positive.

Negative.

200

y = -3

4 + 5y

-11

200

Distribute the outside term and rewrite (DO NOT SOLVE):

3a(2x2 - 8y)

3a(2x2) + 3a(-8y)

200

y = -4

-10 + y2

-10 + (-4)2 = 6

200

Fully Factor 24.

2 * 2 * 2 * 3

300

-5 - 3


What is the rule here? Adding or Subtracting? (Pay attention to the signs)

Adding, because same signs ADD

300

a = -3     b = 4


a + 2b

5

300

Distribute the outside term and rewrite (DO NOT SOLVE):

4ab(a + 2b - 3)

4ab(a) + 4ab(2b) + 4ab(-3)

300

j = -2      k = 5


-3k + j2

-3(5) + (-2)2 = -11

300

Fully Factor 40.

2 * 2 * 2 * 5

400

No need to solve: Will the answer for the following expression be NEGATIVE or POSITIVE?

(-3)8

Positive

400

x = -3     y = -5


- x + 2y

-7
400

Distribute the outside term and rewrite (DO NOT SOLVE):

-2p(6q - 3r + 1)

-2p(6q) + -2p(-3r) + -2p(1)

400

a = -10     b = 5 

2b - 3a2

2(5) - 3(-10)2 = -290

400

Simplify this fraction: (FACTOR first, then cancel out the shared number on top and bottom)

18/12

3/2

500

No need to solve: Will the answer for the following expression be NEGATIVE or POSITIVE?

-(-7)4

Negative

500

x = 3       y = 1    z = -4

2y - 3x - 2z

1

500

Distribute the outside term and rewrite (DO NOT SOLVE):

-5xy(2j - k - 12xyz)

-5xy(2j) + -5xy(-k) + -5xy(12xyz)

500
x = 3 y = -2


-3x+ 4y3 

-3(3)2 + 4(-2)3 = -59

500

Simplify this fraction: (FACTOR first, then cancel out the shared number on top and bottom)

14/42

1/3

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