Proportional Relationships
v/35 = 16/28
20
Ryan ate breakfast at a restaurant. The bill came to $68. If he left an 18% tip, what was the total cost of his breakfast?
$80.24
-10.8 + -43 1/4
-54.05 or -54 1/20
Simplify:
4.1k + -4.6k + -8.9k + -4.2k + -10.2k + -5.9k
-29.7k
-3b + -12=6
-6
At soccer practice, Hassan warms up by kicking balls at the goal. Yesterday, Hassan made 24 goals in 3 minutes. Today, he only spent 2 minutes kicking balls at the goal.
If Hassan made goals at the same rate, how many goals did he make today?
16
A retailer sells rocking chairs for $82.43 that were acquired at a cost of $47. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
75%
11.675 / -1/4
-46.7 or -46 7/10
(4s+9) - (3s+1)
s+8
2/3 = -1/2(a - 3)
5/3
A worker at a local aquarium is instructed to estimate the population of sardines in the tank. He catches 723 sardines, marks them with special paint, and returns them to the tank. Then he catches 128 sardines and finds that 12 of them are marked. To the nearest whole number, what is the best estimate for the sardine population?
7,712
Jaylen planted some corn in the back yard and measures its height regularly. The last time he checked, the stalks were 40 inches tall. Now they are 44.7 inches tall. What is the percent of increase in the height of the stalks?
Round your answer to the nearest tenth of a percent.
11.8%
Carmen went rock climbing at the climbing gym for 1 1/2 hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for 1 1/2 times as long. How much time did she spend rock climbing in all?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
3 3/4
3.3(4.3b-2)
14.19b-6.6
At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 3 cups of flour each. Then, she used the remaining 8 cups of flour she had to make a pan of muffins. She started her shift with a 20-cup bag of flour.
How many batches of cookies did Megan make?
4
Scientists captured, tagged, and released 78 prairie dogs as part of a research study on rodents. A week later, they counted 180 prairie dogs, of which 26 had tags. To the nearest whole number, what is the best estimate for the prairie dog population?
540
Baldwin made $2,400 in interest by placing $30,000 in a savings account with simple interest for 2 years. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
4%
Simplify. Express your answer as the given base raised to a single exponent.
(1120)15
11300
Brandon's seventh grade class is going on a field trip to a history museum. There are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each. The history museum gave the class 20% off as part of a group promotion.
Write an expression that represents the total cost of the field trip.
8x+16y
or
0.8(10x+20y)
Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.
What is the average amount the cable company charges per channel?
$0.80
Read the description of a proportional relationship.
There's a huge sale at the grocery store, so Evelyn stocks up on her favorite breakfast cereal, Frosted Crunchy Bunches. As she puts the cereal boxes on a shelf in her pantry, she wonders if she has enough shelf space. There is a proportional relationship between the number of cereal boxes Evelyn stores on her pantry shelf, x, and the amount of shelf space (in inches) the boxes take up, y.
Storing 2 boxes takes up 8 inches of shelf space. Write the equation for the relationship between x and y.
y=4x
Sean is choosing what size gloves to order from an online store. He estimates that his hand is 20 centimeters long. When he measures with a ruler, however, he finds that his hand is actually 18 centimeters long. What is the percent error for his estimate?
If necessary, round your answer to the nearest tenth of a percent
11.1%
Write an expression equivalent to:
712/73
79
Shawna's school is having its annual awards night at a banquet hall. Shawna got to the banquet hall early to help set up decorative centerpieces on each of the 8 circular tables and 16 rectangular tables at the event. Each centerpiece had x light blue flowers and y dark blue flowers.
Write an expression to represent how many flowers shawna used to make the centerpieces.
8(x+y)+16(x+y)
or
24x+24y
or
8x+8y+16x+16y
or
24(x+y)
The Oakland School's harvest festival is coming up, and Ms. Garza is in charge of ordering the caramel apples again. She knows she ordered 9 cases of caramel apples last year but can't remember how many apples come in a case. She checks last year's records and finds that the school sold 685 caramel apples and had 35 left over.
How many caramel apples come in each case?
80