Unit Rate/ Proportionality
Jodi can read 72 pages in two hours. How many pages can Jodi read in one hour?
36 pages in 1 hour
Write an equivalent expression:
7a + 3a - 2b + 12 - b
10a - 3b + 12
A t-shirt costs $35. If you have a coupon for a 20% discount, how much money are you saving on the t-shirt?
Save $7
There are 41 white marbles and 24 yellow marbles in a bag. What is the probability of choosing a yellow marble from the bag to the nearest percent?
37%
Which situation results in a final value of 0?
A. The overall change in temperature when the temperature goes from -10 degrees to 10 degrees.
B. The total profit made when you buy an item for $2.25 and then sell the item for $2.25.
C. The total distance you travel when you bike 3.1 miles to school and then 3.1 miles back home.
B
Mike types 35 words per minute. Alana types 74 words in 2 minutes. Who types at a faster rate?
Alana. She types 37 words per minute, 2 more words than Mike.
Solve for x:
3(x-9)= 45
x = 24
Joe's lunch at a diner costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the cost of the lunch, including the tip?
Tip: $2.21
TOTAL COST: $15.21
Below are Craig's tests grades in math:
68, 87, 79, 92, 74
What is the difference between the mean and median based on the data above?
80 (mean) - 79 (median) = 1
The ratio of boys to girls in chorus is the same as the ratio of boys to girls in the band. There are 6 boys and 12 girls in the chorus. There are 7 boys in the band. How many girls are in the band?
14 girls
A train travels at 60 km/h. How long does it take for the train to travel 270km?
4.5 hours OR 4 hours and 30 minutes
Which expression does NOT belong?
Expression A: - (2b + 12)
Expression B: 2(b + 6)
Expression C: 1/2 (-4b-24)
Expression B does NOT belong
A & C = -2b-12
B = 2b + 12
In September, 208 6th graders voted for ice cream at lunch on Fridays. In October, 260 6th graders voted for ice cream at lunch on Fridays. What was the percent change in votes for ice cream at lunch on Fridays?
25% increase
At Carvel, you can choose from the following options to build your ice cream sundae:
Cone: Sugar cone / Waffle cone
Flavor: Vanilla / Chocolate / Strawberry / Funfetti
Toppings: Rainbow sprinkles / Chocolate sprinkles / Hot fudge / Crunchies
How many total ice cream sundae combinations are there?
32 combinations
Evaluate the expression below:
−36 ÷ 9 + 3(−7) + 2
-23
A machine makes 2/3 pounds of sugar in 1/2 hour. At what rate, in pounds per hour, does the machine make sugar?
1 1/3 or 4/3 pounds of sugar in 1 hour
Solve for x:
1/2 (10x + 40) - 15 = 30
x=5
Leah is selling cookies at a bake sale. Her goal is to sell $45 worth of cookies.
In the first hour, Leah sold 60% of her goal.
In the second hour, Leah sold 45% more than the first hour.
Did Leah reach her goal? If not how far (in dollars) is she from reaching her goal?
Yes, she sold $66.15 worth of cookies so she met her goal.
There are 100 small paper clips, 250 medium paper clips and 150 large paper clips in a box.
What is the probability of randomly choosing a small OR medium paper clip?
(Leave your answer as a fraction)
7/10
At sunset, a thermometer had a reading of 4 degrees. During the night, the temperature decreased 15 degrees. After the decrease, what is the total number of degrees that the temperature must change for the thermometer to read 0 degrees?
11 degrees
Last week, the prices of apples at a grocery store was $1.60 per pound. This week the apples are on sale for a 10% discount. What is total price of 4.5 pounds of apples this week at the grocery store?
$6.48
Create an equation:
Claire is going miniature golfing. She pays $7.50 for a ticket and $6.25 for each round she golfs. The total amount she pays for her ticket and number of rounds she golfs is $26.25. Write an equation to determine the number of rounds, x, Claire golfs.
6.25x + 7.50 = 26.25
You are planning to purchase a plane ticket for a vacation. Below are your two options.
- JetBlue: $540 for a ticket, marked for 25% off.
- United Airlines: $480 for a ticket, marked 15% off.
Which airline is the better option? How much money are you saving by choosing the cheaper option?
Save $3 with JetBlue.
Sky surveyed her class and recorded 13 out of 21 people prefer french fries over onion rings. If Sky surveys the entire 7th grade which consists of 325 students, about how many students would prefer french fries?
About 201 students
13 bus rides