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Computing Unit Rate
Representing Proportional Relationships
Solving Problems with Ratio & Percent
Percent of Change
Adding & Subtracting Rational Numbers
100
For every 5 boys on a softball team there is 1 girl. What is the ratio of boys to girls?
What is 5:1?
100
The table below gives the distance covered by a train over time. Do the numbers in the table represent a proportional relationship? Distance Time 50 10 60 12 70 14 80 16
What is yes? The rate is 5 to 1 for all.
100
Ernie is buying a skateboard. The original price of the skateboard is $55, and it is discounted 15% from the original price. Ernie wants to know the new price of the skateboard.
What is $46.75? The discount is $8.25.
100
A lamp that originally cost $180 was marked down to $150. Find the percent of the discount.
What is 16.7%?
100
The temperature of a solid is -13.2 degrees C. The solid will melt when it's temperature is raised 4.5 degrees C. At what temperature will the solid melt?
What is -8.7 degrees C?
200
For every 8 Wii games Sarah owned she had 4 PS3 games. What is her ratio of Wii games to PS3 games?
What is 2:1?
200
Daisy made an envelope from sheets of paper. The table below shows the number of envelopes made by the number of sheets. Do the numbers in the table represent a proportional relationship? Number of Number of Envelopes Sheets 1 2 2 4 3 6 4 12
What is no? 4 envelopes to 12 sheets is not proportional to the others.
200
As a team, Stephen, C-Bear, and Brian are juggling 15 watermelons at once. Stephen has decided that this isn't nearly enough watermelons, so the team is going to increase their number of watermelons by 80%. C-Bear wants to know just how many watermelons this is.
What is 12?
200
Craig and his family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $2,790. This year, the price is 30% more expensive. How much are season tickets this year?
What is $3,627? 30% = $837
200
A stock price rose 5.3 points in Week 1. The stock price fell 8.7 points in Week 2. How much did the stock price change from Week 1 to Week 2?
What is 3.4 points?
300
A recipe called for the ratio of sugar to flour to be 5:1. If you use 35 ounces of sugar, how many ounces of flour would you need to use?
What is 7?
300
Joe made a fruit pie. The table below displays the number of fruits he used to make the pies. State "Yes", if the table represents a proportional relationship. Number of Number of Pie Fruit 2 10 3 15 4 24 5 25
What is no? 4:24 is not proportional to the other proportions.
300
The ratio of the quantities of sugar and flour needed to bake a cake is 2:5. What is the quantity of sugar needed for the cake if 750 grams of flour are used to bake it?
What is 300 grams of sugar?
300
Russell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees C. This summer, the average water temperature was 23 degrees C. What was the percent of increase in the temperature?
What is 15%? The question asks: What percent of 20 is 3? x (20) = 3
300
Subtract: -1 5/6 - 2/3
What is -2 1/2?
400
The planting rate of wildflower seeds is 1/2 pound per 1/8 acre. What is the unit rate in pounds per acre?
What is 4 pounds per acre?
400
Kelly makes omelettes. The table below shows the number of omelettes made and the number of eggs used. Does the table represent a proportional relationship? Number of Number of Omelettes Eggs 5 10 6 12 7 14 8 24
What is no? The proportion of 8:24 is not proportionate to the other proportions.
400
Nancy and two friends paid a 15% tip for a restaurant bill of $53.74. Then they split the total evenly. How much did each person pay?
What is $20.60 per meal? Amount of tip = $8.06 Total bill = $61.80
400
Dante invests $3,500 and earns 2% in simple interest each year. Assuming he makes not additional deposits or withdrawals, how much will his investment be worth in 5 years?
What is $3,850? 1 year = $70 interest 5 years = $350 interest 3500 + 350 = 3850
400
A scuba diver uses negative numbers to represent her depths below sea level. She was at a depth of -1.5 meters. Then she dove down to a depth of -4.2 meters. What is the total depth she dove?
What is -5.7 meters?
500
Angelo read 1-1/2 pages in 3 minutes. Find his reading speed in pages per hour.
What is 30 pages per hour?
500
A scientist measured the total distance, in feet, a grasshopper traveled in 3 jumps. Is the relationship between jumps and distance a proportional relationship If so, what is the grasshopper's unit rate? Jumps (x) Distance in Feet (y) 0 0 1 1.5 2 3 3 4.5
What is yes, and the unit rate of the grasshopper is 1.5 feet per jump?
500
The sales tax on a coat that is priced at $45 is 8%. Find the total cost of the coat.
What is $48.60? Tax amount = $3.60
500
Rick is curious about how many hours of TV his family watches each week. Upon asking his family members, he found that they watched 10 hours of TV last week versus 19 hours this week. What is the percent of increase in the weekly amount of TV watched by Rick's family?
What is 90%? Percent of change = amount of change/original amount
500
A submarine at a depth of -25 2/3 feet descended 5 1/2 feet. How many feet must the submarine rise to reach the surface? (Round to the nearest tenth)
What is 31.2 feet? It's actually 31.16666666.... feet.