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20 Cards in this Set

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  • 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