Review 3: Quizizz Review on Topics From MP1-3

Review 4: Quizizz REview on Topics From MP1-3

This quizizz is a review of the topics that we have learned in the first half of MP3.

This assignment will be counted as extra credit if completed.

Adding Integer Rules (SAME SIGNS)

• Signs are the SAME (+ +) or (- -)

• ADD the numbers together

• KEEP the sign the same in the answer

• EXAMPLE: 9 + 8 = 17

• EXAMPLE: -4 + -5 = -9

Adding Integer Rules (DIFFERENT SIGNS)

• Signs are DIFFERENT (+ -) or (- +)

• SUBTRACT the numbers (always put the bigger number first)

• KEEP the sign of the bigger number!

• EXAMPLE: -9 + 8 = -1

• EXAMPLE: 10 + -3 = 7

Multiple Choice

6 + 12 =

• 6

• 18

• -18

• -6

Multiple Choice

-5 + -4 =

• 9

• 1

• -9

• -1

Multiple Choice

-12 + 7 =

• -5

• 5

• -19

• 19

Multiple Choice

18 + -4 =

• -14

• 22

• -22

• 14

Subtracting Integers

• You are going to change your problem into an addition problem before you solve it!

• KEEP the first integer the same

• CHANGE the - to +

• CHANGE the SIGN of the second integer

• Then follow ADDITION RULES

Multiple Choice

Rewrite the problem:

-9 - 4 =

• -9 + -4

• 9 + -4

• 9 + 4

• -9 + 4

Multiple Choice

Rewrite the problem:

6 - (-5) =

• -6 + -5

• 6 + -5

• 6 + 5

• -6 + 5

Multiple Choice

Solve:

-3 - (-5) =

• -8

• 8

• -2

• 2

Multiple Choice

Solve:

9 - (-3) =

• 6

• 12

• -12

• -6

Multiplying/Dividing Integers

• You will multiply or divide the numbers just like you always would

• If the signs in the problem are the SAME (++) or (--), the answer will be POSITIVE

• If the signs in the problem are the DIFFERENT (+-) or (-+), the answer will be NEGATIVE

Things to remember!

• Multiplication can look a lot of different ways:

• X,  $\cdot$  ,  #(#)

• Division can look a few different ways too:

•  $\div$  , a fraction, or with a /

Multiple Choice

5 x 8 =

• 35

• -40

• -35

• 40

Multiple Choice

(-6)(3) = 

• 12

• -18

• -12

• 18

Multiple Choice

-9(-4)

• 36

• -36

• 12

• -12

Multiple Choice

 $18\ \div\ 2\ =$  

• -9

• 20

• 9

• 16

Multiple Choice

 $\frac{-25}{5}=$  

• 5

• -5

•  $\frac{1}{5}$  

•  $-\frac{1}{6}$  

Multiple Choice

 $\frac{\left(-81\right)}{\left(-9\right)}=$  

•  $\frac{1}{9}$  

•  $\frac{-1}{-9}$  

•  $9$  

•  $-9$  

Unit Rates

• Unit Rates: a rate that compares two quantities which the denominator is 1. (It may look like a fraction or be “# per 1 quantity”)

• # PER 1

•  $\frac{12\ miles}{gallon}$  

• # : 1

Common Unit Rates

• Miles per Hour

• Miles per Gallon

• Price per Pound

• Price per Item

• Activity per Time

How to Solve Unit Rates

• Make the rate that you are given a ratio (Make sure that the correct quantities are in the right spots)

• Divide the denominator by itself so that the new quantity is 1

• Whatever you divide the denominator by, you also have to divide the numerator by to keep the rate equivalent.

• Make sure that you keep the quantities the same in your unit rate

• 
  

Comparing Unit Rates

• Find the unit rates for all rates given

• The smallest numerator is the smallest unit rate

• The largest denominator is the largest unit rate

• 
  

Multiple Choice

Which is the better price?

$54 for 6 tickets

$64 for 8 tickets

• $54 for 6 tickets

• $64 for 8 tickets

Multiple Choice

What is the FASTER speed?

850 miles in 10 hours

640 miles in 8 hours

• 850 miles in 10 hours

• 640 miles in 8 hours

Finding a Unit Rate with Unit Fractions:

• Make the rate that you are given a ratio (Make sure that the correct quantities are in the right spots)

• Make sure that all of the fractions are just fractions (no mixed numbers or whole numbers)

• Divide the denominator by itself so that the new quantity is 1

• Whatever you divide the denominator by, you also have to divide the numerator by to keep the rate equivalent. (KEEP, CHANGE, FLIP then multiply straight across)

Multiple Choice

 $A\ family\ drives\ 4\ \frac{1}{2}\ miles\ in\ \frac{1}{10\ }\ of\ an\ hour.$  What is their rate of speed in miles per hour?

• 48 miles per hour

• 50 miles per hour

• 45 miles per hour

• 63 miles per hour

Multiple Choice

Find the unit rate:

A car can drive 7 miles on 1/3 gallon of gas. How many miles can they drive on 1 gallon of gas?

• 1.5 miles per gallon

• 21 miles per gallon

• 28 miles per gallon

• 42 miles on 2 gallons

Proportional Relationships with Tables

• To see if they are proportional, test all pairs y/x. If they are all equal, then it is proportional.

• If the data is proportional, you can find the constant of proportionality by doing y/x. The constant of proportionality is labeled with k.

• You can write an equation of proportionality: y=kx

• Then you can solve for different values of y and x by plugging them into the equation.

Multiple Choice

Does this table show a proportional relationship?

• Yes, it is proportional.

• No, it is not proportional.

Multiple Choice

Does this table show a proportional relationship?

• Yes, it is proportional.

• No, it is not proportional.

Multiple Choice

This table shows a proportional relationship. What is the constant of proportionality (k)?

• k=4

• k=0.33

• k=12

• k=3

Multiple Choice

This table shows a proportional relationship. What is the equation of proportionality for this equation (first find k and then plug it into the equation)?

• y=0.5x

• y=2x

• y=8x

• y=0.75x

Information on Graphs:

• The line on a graph that goes up/down (vertical) is the Y axis. This shows the Y values.

• The line on a graph that does left/right (horizontal) is the X axis. This shows the X values.

• When the values are given as an ordered pair, they will always be listed (X, Y)

Proportional Relationships with Graphs:

• WAY 1: If the line is straight AND goes through the origin (0,0) then the graph is proportional

• WAY 2: Test all pairs y/x. If they are all equal, then it is proportional.

• If the data is proportional, you can find the constant of proportionality by doing y/x. The constant of proportionality is labeled with k.

• You can write an equation of proportionality: y=kx

Multiple Choice

Does this graph show a proportional relationship?

• Yes, it is proportional.

• No, it is not proportional.

Multiple Choice

Does this graph show a proportional relationship?

• Yes, it is proportional

• No, it is not proportional

Multiple Choice

This graph shows a proportional relationship. What is the constant of proportionality (k)?

• k=20

• k=0.2

• k=5

• k=45

Multiple Choice

What does the point (2, 10) represent on this graph?

• The car can drive 10 miles in 2 minutes

• The car can drive 2 miles in 10 minutes

• The car can drive 5 miles in a minute

Multiple Choice

What does the point (10, 60) represent on this graph?

• 10 meals can be prepared in 60 days

• 600 meals are prepared

• 60 meals can be prepared in 10 days

Multiple Choice

This graph shows a proportional relationship. What is the equation of proportionality (find k first then plug it into the equation)?

• y=28x

• y=0.14x

• y=7x

• y=65x

Percent Markup

• Things that mean markup: tax, tip, commission, raise, bonus, increase

• Markup = % markup x original price

• Final Price = Original Price + Markup

• % markup = markup / original price

• Markup = New price - Original Price

• Original Price = Markup / % Markup

Multiple Choice

Heather gets a bonus of 6.5% for each painting she sells She earned a $32.50 bonus last week. What was the dollar amount of paintings she sold? (find the original price)

• $5

• $500

• $211.25

• $2.11

Multiple Choice

I am buying lunch for the class. The bill costs $120 before tip. I am going to leave a 25% tip on the bill. How much will the tip be?

• $30

• $3000

• $480

• $150

Multiple Choice

The tax rate is 5%. If $1.15 in tax is added to the price of an item, what was the original price in dollars of the item?

• $5.75

• $0.06

• $23

• $45

Multiple Choice

The original price of an outfit is $50. There is 4.5% tax added onto the item. What is the final cost that you will pay for the outfit?

• $2.25

• $225

• $22.50

• $52.25

Markdown

• Things that mean markdown: sale, discount, decrease

• Markdown = % markdown  x original price

• Final Price = Original - Markdown

• Markdown = markdown / original price

• Markdown = Original Price - New Price

• Original Price = Markdown/% Markdown

Multiple Choice

The original price of an iPhone is $1,099. This weekend, it is on sale for 20% off. How much will I get off of the iPhone?

• $879.20

• $219.80

• $21.98

• $45.32

Multiple Choice

A book that I want is originally $50. It is on clearance this weekend for $20. What is the percent of clearance?

• 40%

• 60%

• 55%

• 25%

Multiple Choice

There was a sale on bikes. I can get $20 off on the bike with the 40% off coupon. What is the original price of the bike?

• $40

• $60

• $70

• $50