Integers
Determine which expression has a greater value...
A. -12+6-4
B. -34-3+39
C. -26+7-12
A. = -10
B. = +2
C. =-31
A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials? ***Hint: Unit Rates compare two units, the denominator will always be 1.
5 songs/1 commercial
The amount of a pair of shoes increases from $52 to $64. What is the percent increase to the nearest percent?
What is 23%
2s+5≥49
s ≥ 22
Will these dimensions make a triangle? Why? 4cm 11cm 3cm
No, a+b > c
Mary has $10 in savings. She owes her parents $50. She does some chores and her parents pay her $12. She also gets $25 for her birthday from her grandmother. Does Mary have enough money to pay her parents what she owes them? If not, how much more money does she need? Explain.
No, she has $47. She needs 3 more dollars.
Julio walks 3 1/2 miles in 3 hours. How long does it take him to walk 10 1/2 miles?
9 hours
Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent.
What is 83%
A hot air balloon begins its descent at a rate of 22 1/2 feet per minute. How long will it take for the balloon's elevation to change by -315 feet?
What is 14 minutes
What are complimentary angles, include their degrees.
Any angles that are adjacent and the sum is equal to 90 degrees
Bella pays 7 payments of $5 each to a game store. She returns one game and receives $20 back. What is the change to the amount of money she has?
What is 7(-5)+20=-15, $15 less
A submarine dives 300 feet every 2 minutes. Find the constant rate at which the submarine dives. Give your answer in feet per minute and in feet per hour.
What is 150 feet per minute; 9,000 feet per hour
An exclusive clothing boutique triples the price of the items it purchases for resale. What is the boutique’s markup percent? Write two expressions that represent the retail price of the clothes.
What is 200% 1c + 2c; 3c
Val rented a bicycle while she was on vacation. She paid a flat rental fee of $55.00, plus $8.50 each day. The total cost was $123. Write an equation you can use to find the number of days she rented the bicycle.
What is 8.5d + 55 = 123
Free points for your team; What's Miss. B's favorite color?
Blue
The first play of a football game resulted in a loss of 12 1/2 yards. The next play gained 10 yards. Then, a penalty resulted in another loss of 5 yards. What is the total loss or gain?
7 1/2 yard loss (-12.5 + 10 - 5)
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
What is y = 1.125x , where y is dollars and x is euros
Ariane borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?
What is $80, $480
After making a deposit, Paolo had $264 in her savings account. She noticed that if she added $26 to the amount originally in the account and doubled the sum, she would get the new amount. How much did she originally have in the account?
What is $106
A trap for insects is in the shape of a triangular prism. The area of the base is 3.5 in2 and the height of the prism is 5 in. What is the volume of this trap?
What is 17.5in^3
Beginning in 1996, a glacier lost an average of 3.7 meters of thickness each year. Find the total change in its thickness by the 2012.
What is -3.7(16) = -59.2; the glacier has lost 59.2 meters of thickness
How can you use rates to determine whether a situation is a proportional relationship?
Compare corresponding values of the variables to determine whether there is a constant rate.
Emily’s meal costs $32.75 and Darren’s meal costs $39.88. Emily treats Darren by paying for both meals, and leaves a 14% tip. Find the total cost.
What is $82.80
A taxi cab costs $1.50 for the first mile and $0.75 for each additional mile. Which equation could be solved to find how many miles you can travel in a taxi for $10, given that x is the number of additional miles?
What is 0.75x + 1.5 = 10
A round swimming pool has a circumference of 66 feet. Carlos wants to buy a rope to put across the diameter of the pool. The rope costs $0.45 per foot, and Carlos needs 4 feet more than the diameter of the pool. How much will Carlos pay for the rope?
What is $11.25