Order of Operations
52+ (6.7 - 3.1)
28.6
What is the GCF of 36 and 24?
12
Write an algebraic expression for the phrase.
12.75 less than the product of 7 and a number m
7m - 12.75
7.5 + 3.6 = 3.6 + 7.5
What property is illustrated
Commutative Property of Addition
Find the prime factorization of 48
24 * 3
32+ 12/ (6-3) x 8
41
What is the LCM of 12 and 10?
60
Identify the terms, coefficient(s), constant(s), and variable(s) in the expression.
3z2+ y + 5
Terms: 3z2, y, 5
Coefficients: 3, 1
Constant: 5
Variables: z, y
Simplify the expression, explain each step with a property.
(n + 11) + 0
Associative Property of Addition
Addition Property of Zero
n + 11
Describe the relationship between the exponent and the base.
The exponent tells you how many times to use the base as a factor
45/(3^2)
5
You are making balloon arrangements for a party. There are 16 white balloons and 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements you can make using every balloon?
8 arrangements
Evaluate the expression when a = 10, b = 9, c = 4
3a+2b-6c
24
z*0*12
Multiplication Property of Zero
0
Write the phrase as an expression. Then evaluate when y =20.
Te quotient of 40 and the difference of a number y and 16
40/(y-16) ; 10
((12^2) - 4(6) + 1)/11^2
1
Hot dogs come in packs of 10, while buns come in packs of 8. What are the least numbers of packs you should buy in order to have the same numbers of hot dogs and buns?
4 packs of hot dogs and 5 packs of buns.
Alexis y years old. Her sister Gloria is 7 years older than Alexis. Their grandfather is five times as old as Gloria. Write and simplify an expression that represents their grandfather's age in y years.
5(y+7)
5y+35
Write an expression that is equivalent to
27y + 18
Tell which property you used to write the quivalent expression.
9(3y + 2)
Distributive Property
Zach says that the expressions 6m+36 and 3(2m+12) are equivalent because of the distributive property. Do You Agree? Explain
yes
157.8 - (3^2 +6) *3
112.8
You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have an equal number of blueberry scones and an equal number of cranberry scones. What is the greatest number of bags you can fill? How many of each type are in each bag?
25 bags. 2 blueberry and 3 cranberry
It costs $3 to bowl a game and $2 for shoe rental. Write an expression for the cost of g games. Use your expression to find the cost of 8 games
3g + 2
$26
Use properties to to Identify equivalent expressions
8x-4 4x 4(2x-1)
1st and third expressions are equivalent
Describe the Order of Operations exactly as I gave them to you
GEMS