Order of Operations
5+10div2-6*1
4
The following is an example of what property?
2*3=3*2
Commutative Property of Multiplication
7(6-7r)
42-49r
Factor out the GCF:
24n-18
6(4n-3)
The charge for ice skating is $10 for skate rental and $5 per hour to skate. Write an expression for the total cost assuming you skate for h hours.
10+5h
18+4div4-2*(3+1)
11
The following is an example of what property?
5+0=5
Identity Property of Addition
-8(-8-3p)
64+24p
Factor out the GCF:
35x+56
7(5x+8)
Brandon and Preston are both hired to work at the school fair. The school pays Brandon $9.20 per hour to work outside and Preston $8.30 per hour to work inside. To calculate how much money they made, what expression can they use, assuming they each work h hours? Simplify your expression.
9.2h+8.3h => 17.5h
36div(11-8)^2
4
The following is the definition of what property?
a+(b+c)=(a+b)+c
Associative Property of Addition
-6(n+1)+4
-6n-2
Factor out the GCF:
-7a-63
-7(a+9)
Evaluate the expression using n=-2
6n-5(9-n)
6(-2)-5(9-(-2)) = -12-5(9+2)
-12-5(11) = -12-55 = -67
5-2(9-7)^3
-11
The following is the definition of what property?
a(b+c)=ab+ac
Distributive Property
2-10(a-6)
-10a+62
Factor out the coefficient of the variable:
-n+9
-(n-9)
Evaluate the expression using n=-2
-3+frac(20)(5n)
-3+frac(2)((5)(-2))
-3+frac(20)(-10)
-3-2 = -5
12div2*3-(-3)^3
45
What properties are used to simplify the following expression?
2(x+3)+5x
Distributive Property, Commutative Property of Addition (optional: Combine Like Terms, Addition)
frac(6(n-5))(3) + 4n
6n-10
Factor out the coefficient of the variable:
7n-5
7(n-frac(5)(7))
If an item is discounted 32%, write an expression for the price the customer will pay, assuming the original price is p dollars. Simplify your expression.
p - 0.32p => 0.68p