Semester 2 Math Final Review (Units 5-8)

Unit 5Proportional Relationships

100

True or False   (If false, then provide the correct %)

The starting balance in an account was $18 and when the account closed the balance was $63. The closing balance was 350% of the starting balance.

What is True

(350% as a decimal is 3.50, multiply 3.50 by the original amount: 

18 x 3.50= 63

OR 

63/18=3.5 and 3.5=350% Move the decimal two places to the right; Remember 1=100%)

200

Alicia hand made 192 invitations in 16 hours.

This is the amount of invitations she made per hour. 

What is 12 invitations per hour 

(192/16= 12)

300

Last week a car was $2800, this week the dealership reduced the price 15%. This is the EXACT current price of the car after the reduction

What is $2,380.00

(Reduction means the total will be less. 

Subtract the percentage from 100: 100% - 15%=85%

Multiply the new percentage by the original total, 2800 x 0.85 = 2380)

400

Yesterday the cost of a 16-pack of Taki's was $14, this week the store reduced the price 25%. This is the EXACT current price of the Taki's after the reduction

What is $10.50

(Reduction means the total will be less. 

Subtract the percentage from 100: 100% - 25%=75%

Multiply new percentage by the original total, 14 x 0.75 = 10.5)

Unit 6Probability

100

This is the total amount of possible outcomes after tossing a coin three times.

What is 8 

(Count the amount of outcomes at the last toss) 

200

There is 25 marbles in a jar: 4 Green, 5 Yellow, 6 Red, 10 Blue. This is the likelihood of randomly selecting a Green Marble. 

Answer Options: Impossible,   UnLikely,   Equally Likely,   Likely,   Certain

What is Unlikely 

(4/25= 0.16= 16%: Unlikely is 1-49%)

300

This is the total amount of possible pizza options when you can select between one of two types of pizza crusts and one of five toppings.

What is 10 

(You can calculate 2 x 5=10 

OR you can count all the options extended from the branch) 

400

60 Face masks are made for a local hospital: 7 superhero, 8 striped, 10 leopard, 15 polka dot & 20 floral. This is the likelihood of a nurse randomly selecting either a leopard or floral fabric mask.

Answer Options: Impossible,   UnLikely,   Equally Likely,   Likely,   Certain

What is Equally Likely 

("Or" in probability means to add. 10+20=30 

30/60= 0.50= 50%: Equally Likely is always 50%)

Unit 7 Inferences

100

True or False 

School counselors survey students to find out the most popular activity to do while at home. An example of an unbiased survey; is to randomly select 20 students from each grade level to participate

True 

(The participants selected for this survey would most likely produce unbiased results) 

200

22 of 200 people surveyed chose Purple as their favorite color

Out of 20,000 people, this is the amount of people expected to choose Purple as their favorite color

What is 2,200 people 

(22/200= 0.11.... 11% of people's favorite color is Purple

0.11 x 20000 = 2200)

300

Terrence wants to find out which of two pizza restaurants is the most popular in town. This method would give Terrence the most accurate results 

A. Surveying people as they exit Pie in the Sky Pizzeria

B. Surveying employees that work at Jeff's Pizza Hut

C. Surveying people as they enter the town hall meeting 

D. Surveying people who do not live in town 

What is C. Surveying people as they enter the town hall meeting (The other options could provide biased results)

400

45 of 200 students surveyed prefer an Android phone over an iPhone

Out of 15,000 students, this is the amount of students expected to choose an Android over an iPhone

What is 3,375 students

(45/200= 0.225.... 22.5% of students chose Android 

0.225 x 15000 = 3375)

Unit 8 Geometry

100

__________ is the sum of the three angles of a triangle

What is 180 degrees

200

This set of numbers CANNOT represent the lengths of the sides of a triangle

A. {4, 7, 9}

B. {12, 11, 10}

C. {5, 8, 13}

D. {6, 14, 15}

What is set C. {5, 8, 13}

(The sum of two sides Must be greater than the third side, Not equal to one of the sides: 5+8=13 so 13 could not be the third side)

300

Angle A and B are supplementary angles: 

This is value of  x  when Angle A is 50 and Angle B is 2x

What is x=65

2x + 50 = 180

       -50     -50

      2x  =  130

    2x/2  = 130/2

          x = 65

400

This is the approximate RADIUS of a circle with a circumference of 87.92 meters

What is 14 meters

C= d(pi) 

87.92 = d(3.14)

87.92/3.14 = d

28=d  

(diameter is twice a radius: 28/2= 14)