8th Grade Module 1

Order of Operations and exponents

100

Name each step in PEMDAS

Parenthesis 

Exponent 

Multiply

Divide

Add

Subtract

200

Evaluate: 4⁵

what is 4x4x4x4x4 = 1,024

300

Evaluate: (3²-2)-5+2

What is 

(9-2)-5+3

7-5+3

2+3

5

400

Evaluate:-7(m⁴-3)

What is -7m⁴+21

500

Evaluate when x=3:

4x²+6x-10

What is 

4(3²) +6(3)-10

4(9)+6(3)-10

36+18-10

54-10

44

Absolute Value

100

Evaluate absolute value:

|12 x 5|

what is 

|60| = 60

200

Evaluate absolute value:

|-2 - 5|

what is 

|-7| = 7

300

Evaluate absolute value:

2 x |4|

what is 

2 x 4 = 8

400

Evaluate absolute value:

|5|-|3|

what is 

5-3=2

500

Evaluate absolute value:

-2 |6-4|

what is 

-2 x |2| = -2 x 2= -4

Distributive Property

100

Evaluate: 4(5x - 7)

What is 20x-28

200

Evaluate: (3y²+y-8)x6

what is 18²+6y-48

300

Simplify:

3p+1m+2m²+7p

10p+m+2m²

400

Simplify: 

4y³+3y³+y+y⁴-6y³

y³+y⁴+y

500

Evaluate: 6d+4(3d+5)

What is 18d+20

Properties of Real Numbers

100

2 = 2

4+6 = 6+4

What is reflexive property

200

2+1=3 then 3=2+1

what is symmetric property

300

if 5+4 = 6+3 and 6+3 = 9 then 5+4 = 9

transitive property

400

4 x 1 = 4

what is multiplicative identity property

500

3/2 x 2/3 = 1

multiplicative inverse property

Miscellaneous

100

Simplify by combining like terms:

4y²+6-3y²+10y-9

What is

y²+10y-3

200

Evaluate when x=2 and y=3:

x+6y

What is 

2+6(3)

2+18

20

300

12 x 0 = 0

Multiplicative Property of Zero

400

The order in which you add or multiply numbers does not change their sum or product:

4 x 2 = 2 x 4

8+10 = 10+8

What is Commutative property

500

The way you group three or more numbers when adding or multiplying does not change their sum or product:

(2+3) + 6 = 2 + (3+6)

1 x (4x6) = (1x4) x 6

What is Associative Property