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Worksheets2-1 to 2-4 Review
Total questions: 60
Worksheet time: 30mins
The ratio of boys to girls at a movie is 4 : 7. If there are 21 girls, how many boys are at the movie?
12
21
33
8
A store sells a package of 25 trading cards for $5.25. What is the unit price per card?
4.76
.21
131.25
.25
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
21
6358
.045
22
A toy store, the ratio of the number of dolls to the number of teddy bears is 6 : 5. If the store has 240 dolls, how many teddy bears are in the store?
300
288
200
242
An airplane on autopilot took 5 hours to travel 3,475 kilometers. What is the unit rate for kilometers per hour?
735
695
17,375
.0014
At a supermarket, a 6-ounce bottle of brand A salad dressing costs $1.56. A 14-ounce bottle costs $3.36. A 20-ounce bottle costs $5.60. What is the best buy?
6 oz
14 oz
20 oz
During a thunderstorm yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per minute?
.05
18,000
25
20
Population density is the number of people per unit of area. The population density of a certain region is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region?
1380
2.61
.38
1285
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 3 : 4. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
12
36
7
3
A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5:8. Another salesperson says the ratio in simplest form is 5:24. What error leads to the incorrect ratio?
Not simplifying the terms of the ratio
.
Reversing the terms of the ratio
Using terms with different units to find the ratio
A bicyclist rides 1/5 mile in 1/65 hour. Write this rate as a unit rate.
13
1/13
1/325
15
Find the unit rate. You paint 650 ft2 in 2/3 hr.
___ ft2 per hour
975
433.3
1000
400
Write this rate as a unit rate.
17 inches 114 minutes
The unit rate is ___ inch(es) per minute.
6.7
.15
.20
7.3
Write this rate as a unit rate: You run a 5k (3.1 miles) in 28 minutes.
The unit rate is minute miles.
.54
.11
9
10
A store sells two kinds of candles, scented and unscented. The scented candles burn 1/8 inch in 1/4 hour. The unscented candles burn 1/9 inch in 1/3 hour.
The unit rate for the scented candles is ___ inch(es) per hour.
.25
.5
.33
.75
There was a long rainstorm last week. In the first 1/6 hour, 1/10 inch of rain fell. What is the unit rate for inches per hour?
2/5
5/3
3/5
5/2
A recipe calls for 1/2 cup of ingredient A for every 1 2/3 cups of ingredient B. You use 4 cups of ingredient A. How many cups of ingredient B do you need?
6 2/3
13 1/3
7 2/3
14 1/3
Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour?
31.75
32.75
33.75
34.75
Yesterday, Noah ran 2 1/2 miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in 3/4 hour. Who ran the fastest?
Noah
Emily
Anna
All ran the same speed.
A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles and measures one-half inch on the map. The actual distance from Niko's school to the library is 4 miles. How long is this distance on the map?
1/3
1/2
2/3
3/2
The ratio of boys to girls at a movie is 4 : 7. If there are 21 girls, how many boys are at the movie?
12
21
33
8
A store sells a package of 25 trading cards for $5.25. What is the unit price per card?
4.76
.21
131.25
.25
Which step is NOT a part of PEMDAS?
Multiply
Divide
Exponents
Decimal
IS is to EQUALS as OF is to _____.
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 5:1
Yes, ratio y:x of 1:5
Yes, ratio y:x of 1:1
Not a proportional relationship
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 10:1
Yes, ratio y:x of 2:1
Yes, ratio y:x of 4:1
Not a proportional relationship
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 5:1
Yes, ratio y:x of 1:5
Yes, ratio y:x of 4:1
Not a proportional relationship
In a stationery design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75 ovals?
30
750
375
15
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 1.4:1
Yes, ratio y:x of 1:1.4
Yes, ratio y:x of 1:3/4
Not a proportional relationship
Error Analysis The table shows a proportional relationship between x and y. Katerina has to complete the table. Katerina incorrectly says the ratio y/x is 1/10. Complete the table. What error did Katerina likely make?
She found and simplified x•y.
She found and simplified x−y.
She found and simplified x÷y.
She found and simplified x+y.
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 25:1
Yes, ratio y:x of 1:25
Yes, ratio y:x of 1:50
Not a proportional relationship
Cooking: At a café, the cook uses a recipe that calls for eggs and milk. The amounts of eggs and milk have a proportional relationship. Complete the table.
Eggs: 4, Milk: 9, Ratio 3:1
Eggs: 9, Milk: 4, Ratio 3:1
Eggs: 4, Milk: 9, Ratio 1:3
Eggs: 3, Milk: 9, Ratio 3:1
Challenge: You are head of the city's Street Department. During snowstorms, you send out the trucks to do the plowing. The amount of snow and the number of trucks are shown in the table. For a 21-in. snowfall, how many trucks would you send out? Explain.
51
55
53
57
Which of the following statement(s) about the table is(are) true? MARK ALL THAT APPLY!
The unit rate y/x for related pairs of x and y is 1/3.
The table shows a proportional relationship.
All the ratios y/x for related pairs of x and y are equivalent to 7.5.
When y is 12, x is 4.
When x is 13.5, y is 4.5.
A bicyclist rides 1/5 mile in 1/65 hour. Write this rate as a unit rate.
13
1/13
1/325
15
Find the unit rate. You paint 650 ft2 in 2/3 hr.
___ ft2 per hour
975
433.3
1000
400
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
21
6358
.045
22
A recipe calls for 3 ounces of flour(x) for every 2 ounces of sugar(y). Find the constant of proportionality.
2/3
3/2
5
6
You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
9
8
.125
.135
Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y of water in the bowl after x seconds. What is the constant of proportionality for the relationship between the number of milliliters y of water in the bowl and the time in seconds x? What is the equation?
y=15x
y=161x
y=16x
y=151x
Suppose the relationship between x and y is proportional. When x is 29, y is 275.5. Find the constant of proportionality of y to x. Use the constant of proportionality to find x when y is 408.5.
43
3,880.75
45
3,909.25
The width of a row of identical townhouses is in a proportional relationship with the number of townhouses. The diagram suggests a row of 5 townhouses and gives their total width.Use the constant of proportionality to find the width of a row of 9 townhouses.
169
179
189
199
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=kx can be written for the situation. Explain your answer.
Yes. Since the value of the ratio y/x is the same for each pair of values, the relationship is proportional. So, an equation can be written for the situation.
Yes. Since the y-values in the table increase at a constant rate, the relationship is proportional. So, an equation can be written for the situation.
No. Since the value of the ratio y/x is the same for only two pair of values, the relationship is not proportional. So, an equation cannot be written for the situation.
No. Since the x-values in the table do not increase at a constant rate, the relationship is not proportional. So, an equation cannot be written for the situation.
Mental Math: An engineer makes different-size samples of a new material. The table shows volumes and the related masses. What would be the mass of 100 cubic centimeters of the material?
10,000
100
1000
10
The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When shredded, a 50-lb block of cheese is enough to make 150 large pizzas. How much cheese is on one slice of pizza if there are 8 slices per pizza.
.042 lb
.375 lb
.025 lb
.062
For every 3 lemons you buy at a farm stand, the total cost increases by $1.80. What is an equation that relates the total cost y and the number of lemons x.
y=.6x
y=1.67x
y=3x
y=1.80x
For every dozen bagels you buy, the cost increases $15. Write an equation that represents the cost y and the number of bagels x.
y=.8x
y=1.25x
y=12x
y=15x
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 5:1
Yes, ratio y:x of 1:5
Yes, ratio y:x of 1:1
Not a proportional relationship
Decide whether the table shows a proportional relationship between x and y.
Yes, ratio y:x of 10:1
Yes, ratio y:x of 2:1
Yes, ratio y:x of 4:1
Not a proportional relationship
Write this rate as a unit rate.
17 inches 114 minutes
The unit rate is ___ inch(es) per minute.
6.7
.15
.20
7.3
A toy store, the ratio of the number of dolls to the number of teddy bears is 6 : 5. If the store has 240 dolls, how many teddy bears are in the store?
300
288
200
242
