Algebraic Reasoning
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Number Sense
Geometry
Data & Probability
100
A plumber has been called in to replace a broken kitchen sink. The material needed costs $341.25 and the total expected cost of the job is $424.09. How many hours will the plumber need to work in order to get the job completed at a rate of $20.79?
First, find the labor cost: 424.09โ341.25=82.84
Labor cost = $82.84
Now, divide the labor cost by the hourly rate:
82.84 / 20.79 โ3.99 about 4 hours
100
What are the solutions to the inequality
4.2 + ๐ง โค โ5.3?
The solutions are all values of z such that
z โค โ9.5
100
Solve 
1/2 ^5 = 1/32
100
(TRIPPLE POINTS) An ocean resort decided to build a large room in the shape of a cylinder to host events. The room is 34 feet in diameter with a height of 9 feet. They are going to paint the floor, wall and ceiling blue to make attendees feel like they are floating in the sky. Determine the surface area to be painted so they may order the needed supplies.
approximately 2777.17 square feet
100
What is the sample space for pulling a face card from a standard deck of cards?
What is the sample space for rolling a 12-sided fair die?
KKKKQQQQJJJJ
1 2 3 4 5 6 7 8 9 10 11 12
200
The length of the rectangle is twice its width. The perimeter of the rectangle totals 45 feet. What is the width of the rectangle?
Let the width = x feet.
Then the length = 2x feet (since it's twice the width).
The formula for the perimeter of a rectangle is: Perimeter=2(length+width)
Substituting:
45=2(2x+x)
45=2(3x) 45=6x
Now solve for x:
x=7.5
200
Melanie is buying a candle for a gift. She has 80.07 inches squared of wrapping paper and all of the candles she is looking at have a radius of 1.5 in. What height candle can Melanie buy if she uses all of the wrapping paper she has?
height is approximately 7 inches
200
Solve
40
200
When baking an apple pie, a strip of aluminum foil needs to be placed around the edge of the crust until the last 20 minutes of baking so that it will not burn. If using a 9 1/2 -inch diameter pie pan, how long should the strip of foil be?
C=3.14 ร9.5 = 29.83 inches long
200
There are 7 red, 5 blue and 12 green marbles in a bag. Part A. What is the probability of choosing a red marble? Part B. What is the probability of not choosing a green marble? Part C. What is the probability of choosing a yellow marble? Part D. What is the probability of choosing a red or blue marble?
red 5/24 approx. 20.8%
not green 1/2 50%
yellow impossible 0
red or blue 1/2 50%
300
Write an inequality to represent the situation. Three boxes hold at least 120 cookies total. Then solve how many cookies are available per box?
3๐ โฅ 120
๐ โค 40
300
DOUBLE - Kell works at an after-school program at an elementary school. The table below shows how much money he earned every day last week. Who would make more money for working 10 hours? 
Everyone makes the same amount per hour $8.40
300
Daliah purchases eggs by the dozen for her two children. Each day, Zane eats 1/4 carton and Amare eats 1/6 carton. A carton of 12 eggs costs $1.65. How much does Daliah spend on eggs for her two children in 30 days?
Daily consumption: 1/4 + 1/6 = 5/12 So together they eat 5/12 x 30 eggs = 12.5 carton eggs of a carton each day.
Each carton costs $1.65. So: 12.5ร1.65=20.625
Daliah spends $20.63 (rounded to the nearest cent).
300
Bena is building a kite based on the design shown below. Determine how much ripstop nylon she will need to purchase for the sail material. 
5400 centimeters squared
300
What is the shape of this distribution: symmetric or skewed? Is there an outlier?? Which measure of center and variability would you use?
skewed, median, and IQR
400
Miguel takes out a loan that adds interest each year on the initial amount. What is the interest Miguel will pay on the loan if he borrowed $5,000 at an annual interest rate of 4.5% for 15 years? (Use the formula ๐ผ = ๐๐๐ก, where ๐ผ is the interest, ๐ is the principal or initial investment, ๐ is the interest rate per year, and ๐ก is the number of years.)
Where:
P=5000
r=0.045 (4.5% as a decimal)
t=15
Substituting into the formula:
I=5000ร0.045ร15
Miguel will pay $3,375 in interest on the loan.
400
Each small circle has a radius of 5 centimeters. What is the area of the big circle? what is the area of the shaded area?
big circle 706.5
all small circles added area is 549.5
shaded area 26.1666...
400
-3
43.2
400
Find the area of the figure
Step 1: Convert mixed numbers to decimals. The area is 76.25 square feet
8 1/2=8.5
4 3/4=4.75
5 1/8=5.125
1 1/2=1.5
3 1/4=3.25
400
A random sampling of juniors and seniors at the local high school were surveyed about the average amount of time they spent per night on homework. Calculate and compare the measures of center for the data sets. 
juniors - use the mean
seniors - use the median because there is an outlier
500
SurfPro Shop and The Surfer Store both sold surfboards for $350. In February, SurfPro Shop wanted to increase their profits so they increased the prices of their boards by 15%. When this increase failed to bring in more money, they decreased their price again by 10% in November. To beat their competitor who had increased prices, The Surfer Store decided to decrease their price of surfboards by 10% in March. However, when they started to lose money on the new pricing scheme, they increased the price of surfboards in November by 15%. If no other changes were made after November, which store now has the better price for surfboards? What is the difference between their prices?
SurfPro Shop:
Starting price: $350
February: increase by 15%
New price after 15% increase:
350+(0.15ร350)=350+52.50=402.50
November: decrease by 10%
New price after 10% decrease:
402.50โ(0.10ร402.50) = 402.50 โ 40.25 =$362.25
The Surfer Store:
Starting price: $350
March: decrease by 10%
New price after 10% decrease:
350โ(0.10ร350)=350โ35=315
November: increase by 15%
New price after 15% increase:
315+(0.15ร315) = 315+47.25 = $362.25
500
Joe was planning a business trip to Canada, so he went to the bank to exchange $200 U.S. dollars for Canadian (CDN) dollars. On the way home from the bank, Joeโs boss called to say that the destination of the trip had changed to Mexico City. Joe went back to the bank to exchange his Canadian dollars for Mexican pesos. What is the value of Mexican pesos that Joe has now?
Rate of $1.02 CDN per $1 U.S. Rate of 20.8 pesos per $1 CDN
Joe starts with $200 U.S.
The exchange rate is $1.02 CDN per $1 U.S.
200ร1.02=204 CDN dollars. Now he has 204 CDN dollars.
The exchange rate is 20.8 pesos per 1 CDN dollar. So: 204 ร 20.8 = 4243.2 pesos
Joe now has 4,243.20 pesos.
500
(DAILY DOUBLE) All of the 7th grade homeroom classes collected recycling, with the top three classes splitting the grand prize of $800 toward building their own gardens. Mr. Brogleโs class turned in 237 pounds of recycling, Mrs. Abiolaโs class turned in 192 pounds and Mr. Wheelerโs class turned in 179 pounds. How should these top three divide the money so that each class gets the same fraction of the prize money as the fraction of recycling they collected?
Mr. Brogleโs class:
237/608 ร 800 โ 311.84
Mrs. Abiolaโs class:
192/608 ร 800 โ 252.63
Mr. Wheelerโs class:
179/608 ร 800 โ 235.53
500
(DAILY DOUBLE) Amy and Eunice are participating in a bike-a-thon this weekend. Amy has 29-inch road bike wheels and Eunice has 26-inch mountain bike wheels, where the bike wheel measurements are based on their diameter. How many more revolutions will Eunice's bike need to make to reach the finish line as compared to Amy's bike?
1 mile = 5,280 feet
1 foot = 12 inches
5,280 ร 12=63,360 inches
63,360 ร 5 miles = 316,800 inches
Amy's bike circumference โ 91.106 inches 3468.49 revolutions to finish
Eunice's wheel circumference โ 81.681 inches 3878.5 revolutions to finish
410.01 more revolutions for Eunice to finish the race as compared to Amy. (without using the distance formula)
500
A random sampling of juniors seniors at a high school were surveyed about the average amount of time they spent per night on homework. Calculate and compare the measures of variability for the data sets.
juniors - use the range
seniors use the IQR because there is an outlier