Expressions
-63/-9
7
What is the unit rate?
4 apples for $1.40
$0.35 per apple
Write an equivalent ratio to:
3 to 12
Some examples:
1 to 4
6 to 24
What is 40% of 25?
10
What property allows us to change the order with addition or multiplication?
Commutative Property
-5(-8)-9
-360
How many apples can you buy for $15?
The cost for 4 apples is $1.40.
42 apples
Is this a proportional relationship? Why/why not?
y = 0.5x + 2
What percent is 52 of 2?
2600%
Which property is being demonstrated?
3x + (5x +2) = (3x + 5x) + 2
Associative Property
Write using the additive inverse:
7 - 12x - 4y
7 + -12x + - 4y
Write an equation, if 4 apples cost $1.40.
y = 0.35x
Does this table show a proportional relationship? If so, write an equation.
x 40 50 60 70
y 8 10 12 14
Yes, the constant is 1/5 or 0.2
y = 1/5x
y = 0.2x
76% of 206 chocolate bars will make it through inspection to be sold at stores. How many chocolate bars made it?
156 chocolate bars
Which property is being demonstrated?
5x(3x + 2) = 5x(2 + 3x)
Commutative Property
6x - 3y - 5 + 4y - 7x
-x + y - 5
What is the constant of proportionality? Use the information 4 apples for $1.40.
0.35
Imagine having 84 inches of snow. Warmer temperatures are melting the snow at a rate of 2.3 inches a day. If the snow continues to melt at this rate for 6 days, how much snow will be left?
70.2 inches
Calculate the percent of change. Is it a percent increase or decrease?
Original 50
New 55
10% percent increase
Rewrite using the Distributive Property.
Show the expanded AND simplified.
3a(5 - 2y)
3a(5) - 3a(2y)
15a - 6ay
-47 - (-13)
-34
What makes a graph proportional?
Straight line through the origin (0,0)
The trick to making yummy lemonade is mixing the ingredients at the correct ratio. Manny fills up his pitcher with 70% water and 30% lemonade mix. His pitcher holds 5 cups. How much lemonade mix does he need to fill the pitcher?
1.5 cups
Find the percent error. Round the nearest WHOLE percent!
Estimate: 35
Actual: 45
22%
Write an equation that represents a proportional relationship.
Examples:
y=kx
y = 0.5x
y = 3x