Expressions
Constant of Proportionality
Constant of Proportionality/Ratios/Rates
Percentages
Random
100

-63/-9

7

100

What is the unit rate?

4 apples for $1.40

$0.35 per apple

100

Write an equivalent ratio to:

3 to 12

Some examples:

1 to 4

6 to 24

100

What is 40% of 25?

10

100

What property allows us to change the order with addition or multiplication?

Commutative Property

200

-5(-8)-9

-360

200

How many apples can you buy for $15?

The cost for 4 apples is $1.40.

42 apples

200

Is this a proportional relationship? Why/why not?

y = 0.5x + 2

NOT proportional since it has +2.  The graph will not go through the origin.
200

What percent is 52 of 2?

2600%

200

Which property is being demonstrated?

3x + (5x +2) = (3x + 5x) + 2

Associative Property

300

Write using the additive inverse:

7 - 12x - 4y

7 + -12x + - 4y

300

Write an equation, if 4 apples cost $1.40.

y = 0.35x

300

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

300

76% of 206 chocolate bars will make it through inspection to be sold at stores.  How many chocolate bars made it?

156 chocolate bars

300

Which property is being demonstrated?

5x(3x + 2) = 5x(2 + 3x)

Commutative Property

400
Combine like terms:

6x - 3y - 5 + 4y - 7x

-x + y - 5

400

What is the constant of proportionality? Use the information 4 apples for $1.40.

0.35

400

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

400

Calculate the percent of change.  Is it a percent increase or decrease?

Original 50

New 55

10% percent increase

400

Rewrite using the Distributive Property.

Show the expanded AND simplified.

3a(5 - 2y)

3a(5) - 3a(2y)

15a - 6ay


500

-47 - (-13)

-34

500

What makes a graph proportional?

Straight line through the origin (0,0)

500

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

500

Find the percent error.  Round the nearest WHOLE percent!

Estimate: 35

Actual: 45

22%

500

Write an equation that represents a proportional relationship.

Examples:

y=kx

y = 0.5x

y = 3x