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20 Cards in this Set
 Front
 Back
 3rd side (hint)
Identify the property:
a * b = b * a 
Commutative Property of Multiplication

variables change place


Identify the property:
3 * 0 = 0 
Property of zero

multiplying by zero


Identify the property:
a + b = b + a 
Commutative Property of Addition

variables change place


Identify the property:
(a + b) + c = a + (b + c) 
Associative Property of Addition

arms around the variables change


Identify the property:
(ab)* c = a * (bc) 
Associative Property of Multiplication

arms around the variables change


Identify the property:
5 * 1 = 5 a * 1 = a 
Identity Property of Multiplication

names itsself


Identify the property:
5 + 0 = 5 a + 0 = a 
Identity Property of Addition

names itsself


Rewrite using the Distributive Property of Multiplication:
4(a + 6) 
4*a + 4*6

multiply by all terms within the parentheses


Simplify using the Distributive Property of Multiplication:
8(y + 8) + 3 
8y + 8*8 + 3
8y + 64 + 3 8y + 67 
multiply only the terms inside the parentheses;
add only like terms 

What is a variable?

A variable represents a number.

Variables can change from equation to equation


Write an expression for:
a number increased by eight 
n + 8
any letter is correct 
use a variable
increased by means add 

Write an expression for:
three times a number decreased by 10 
3n  10
any letter is correct 
use a variable
decreased means subtract 

Write an expression for:
three times a number divided by 6 
3n/6
any letter is correct 
use a variable


Write an expression for:
six less than a number 
n  6
any letter is correct 
use a variable
less than means subtract take 6 from the number 

Write an expression for:
four times a number increased by one divided by two times another number less three 
4n + 1 any two letters are
 correct 2y  3 
use two different variables


What is the order of operations?

parentheses
exponents multiply & divide left to rt add & subtract left to right 
Please excuse my dear aunt Sally


Evaluate for c = 3, m = 2:
2c + 5(m  1) 
2c + 5(m  1)
2c + 5(2  1) 2c + 5(1) 2*3 + 5 6 + 5 11 
Use order of operations


Evaluate for a = 5, b = 7, c = 3
3(a + 2) + b * 6 + c 
3(a + 2) + b * 6 + c
3(5 + 2) + 7 * 6 + 3 3(7) + 7 * 6 + 3 21 + 42 + 3 66 
Use order of operations


Rewrite using the distributive property:
5u + 5y 
5(u + y)

use parentheses


Simplify:
6(a + 2) + 3 
6(a + 2) + 3
6a + 12 + 3 6a + 15 
multiply 6 times terms inside parentheses only
