Katelyn C.

### Problem 6

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
9 inches of snow in 12 hours

Katelyn C.

### Problem 7

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
100 feet in 14.5 seconds

Katelyn C.

### Problem 8

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
254.1 miles on 10.5 gallons

Katelyn C.

### Problem 9

Use the graph. It shows the number of feet Alicia and Jermaine ran in the race.
(GRAPH CANNOT COPY)
Express each person's speed as a unit rate.

Katelyn C.

### Problem 10

Use the graph. It shows the number of feet Alicia and Jermaine ran in the race.
(GRAPH CANNOT COPY)
How long would it take Alicia and Jermaine each to run 1 mile (5280 feet)?

Katelyn C.

### Problem 11

Convert each rate using dimensional analysis.
$$20 \mathrm{mi} / \mathrm{h}=\square{ft} / \mathrm{min}$$

Katelyn C.

### Problem 12

Convert each rate using dimensional analysis.
$$16 \mathrm{cm} / \mathrm{s}=\square {m}/ \mathrm{h}$$

Katelyn C.

### Problem 13

Express each ratio as a fraction in simplest form.
6 ladybugs out of 27 insects

Katelyn C.

### Problem 14

Express each ratio as a fraction in simplest form.
14 girls to 35 boys

Suzanne W.

### Problem 15

Express each ratio as a fraction in simplest form.
18 cups to 45 cups

Katelyn C.

### Problem 16

Express each ratio as a fraction in simplest form.
12 roses out of 28 flowers

Suzanne W.

### Problem 17

Express each ratio as a fraction in simplest form.
7 cups to 9 pints

Katelyn C.

### Problem 18

Express each ratio as a fraction in simplest form.
9 pounds to 16 tons

Katelyn C.

### Problem 19

Express each ratio as a fraction in simplest form.
11 gallons to 11 quarts

Katelyn C.

### Problem 20

Express each ratio as a fraction in simplest form.
18 miles to 18 yards

Katelyn C.

### Problem 21

Express each ratio as a fraction in simplest form.

Katelyn C.

### Problem 23

Express each ratio as a fraction in simplest form.
140 miles on 6 gallons

Katelyn C.

### Problem 24

Express each ratio as a fraction in simplest form.
68 meters in 15 seconds

Katelyn C.

### Problem 25

Express each ratio as a fraction in simplest form.
19 yards in 2.5 minutes

Katelyn C.

### Problem 26

Express each ratio as a fraction in simplest form.
25 feet in 3.2 hours

Katelyn C.

### Problem 27

Express each ratio as a fraction in simplest form.
236.7 miles in 4.5 days

Katelyn C.

### Problem 28

Express each ratio as a fraction in simplest form.
331.5 pages in 8.5 weeks

Katelyn C.

### Problem 29

Which costs more per issue, an 18 -issue subscription for $\$ 40.50$or a 12 -issue subscription for$\$33.60 ?$ Explain.

Katelyn C.

### Problem 30

Determine which is less expensive per can, a 6 -pack of soda for $\$ 2.20$or a 12 -pack of soda for$\$4.25 .$ Explain.

Katelyn C.

### Problem 31

Convert each rate using dimensional analysis
$$45 \mathrm{mi} / \mathrm{h}=\square \mathrm{ft} / \mathrm{s}$$

Katelyn C.

### Problem 32

Convert each rate using dimensional analysis.
$$18 \mathrm{mi} / \mathrm{h}=\square \mathrm{ft} / \mathrm{s}$$

Katelyn C.

### Problem 33

Convert each rate using dimensional analysis.
$$26 \mathrm{cm} / \mathrm{s}=\square \mathrm{m} / \mathrm{min}$$

Katelyn C.

### Problem 34

Convert each rate using dimensional analysis.
$$32 \mathrm{cm} / \mathrm{s}=\square \mathrm{m} / \mathrm{min}$$

Katelyn C.

### Problem 35

Convert each rate using dimensional analysis.
$$2.5 \mathrm{qt} / \mathrm{min}=\square \mathrm{gal} / \mathrm{h}$$

Katelyn C.

### Problem 36

Convert each rate using dimensional analysis.
$$4.8 \mathrm{qt} / \mathrm{min}=\square \mathrm{gal} / \mathrm{h}$$

Katelyn C.

### Problem 37

Convert each rate using dimensional analysis.

$$4 \mathrm{c} / \mathrm{min}=\square\mathrm{qt} / \mathrm{h}$$

Katelyn C.

### Problem 38

Convert each rate using dimensional analysis.
$$7 \mathrm{c} / \mathrm{min}=\square{qt} / \mathrm{h}$$

Katelyn C.

### Problem 39

Express the ratio of width to length as a fraction in simplest form.
(FIGURE CANNOT COPY)

Katelyn C.

### Problem 40

Suppose the width and length are each increased by
2 centimeters. Will the ratio of the width to length be the same as the ratio of the width to length of the original rectangle? Explain.
(FIGURE CANNOT COPY)

Katelyn C.

### Problem 41

Express each ratio or rate as a fraction in simplest form.
15 dollars out of 123 dollars

Katelyn C.

### Problem 42

Express each ratio or rate as a fraction in simplest form.
17 rubies out of 118 gems

Katelyn C.

### Problem 43

Express each ratio or rate as a fraction in simplest form.
155 apples to 75 oranges

Katelyn C.

### Problem 44

Express each ratio or rate as a fraction in simplest form.
321 articles in 107 magazines

Katelyn C.

### Problem 45

An airplane flew from Boston through Chicago to Denver. The distance from Boston to Chicago was 1015 miles, and the distance from Chicago to Denver was 1011 miles. The plane traveled for 3.5 hours and carried 285 passengers.
About how fast did the airplane travel?

Katelyn C.

### Problem 46

An airplane flew from Boston through Chicago to Denver. The distance from Boston to Chicago was 1015 miles, and the distance from Chicago to Denver was 1011 miles. The plane traveled for 3.5 hours and carried 285 passengers.
Suppose it costs $\$ 5685$per hour to operate the airplane. Find the cost per person per hour for the flight. Katelyn C. Numerade Educator ### Problem 47 Population density is a unit rate that gives the number of people per square mile. Which state listed in the table has the greatest population density? Explain. (TABLE CANNOT COPY) Katelyn C. Numerade Educator ### Problem 48 Give an example of a unit rate used in a real-world situation. Katelyn C. Numerade Educator ### Problem 49 Ishi bought a slice of apple pie from the cafeteria yesterday and today. The cafeteria workers cut the pies into fewer slices today than they did yesterday. Which of the following technique(s) might Ishi use to determine whether she received more, less, or the same amount of pie today than yesterday? Justify your selection(s). Then use the technique(s) to solve the problem. Katelyn C. Numerade Educator ### Problem 50 A pitcher of lemonade has 3 parts of lemon juice to 4 parts of water. Describe two other pitchers of lemonade; one that is stronger in taste and another that is weaker (more watered-down) in taste. Katelyn C. Numerade Educator ### Problem 51 Blake is comparing prices of several different brands of peanuts. Which statement is true? $$\begin{array}{|l|c|c|} \hline { Brand } & \text { Size (oz) } & \text { Price } \\ \hline \text { Barrel } & 10 & \ 3.39 \\ \hline \text { Mr. Nut } & 14 & \ 4.54 \\ \hline \text { Sandi's Snacks } & 18 & \ 6.26 \\ \hline \end{array}$$ A. Barrel is the most expensive per ounce. B. Mr. Nut is the least expensive per ounce. C. Barrel and Sandi's Snacks cost the same per ounce. D. Mr. Nut and Sandi's Snacks cost the same per ounce. Katelyn C. Numerade Educator ### Problem 52 Sal paid$\$2.79$ for a gallon of milk. Find the cost per quart of milk.
F. $\$ 0.55$G.$\$0.70$
H. $\$ 0.93$J.$\$1.40$

Katelyn C.

### Problem 53

Pappy's Dry Goods sells 10 paper plates for $\$ 2.50 .$Which company sells paper plates for the same price per plate? A. Party Time Store: 15 plates for$\$3.75$
B. Good Times: 20 plates for $\$ 6$C. Birthday, Inc: 25 plates for$\$7.50$
D. Fun For All: 30 plates for $\$ 10.25$Katelyn C. Numerade Educator ### Problem 54 Jonelle's tips as a server are shown in the table. On Friday, her tips were$\$74 .$ Which measure of central tendency will change the most as a result? Explain.
$$\begin{array}{|l|c|} \hline \text { DAY } & \text { True } \\ \hline \text { Monday } & \ 36 \\ \hline \text { Tuesday } & \ 32 \\ \hline \text { Wednesday } & \ 40 \\ \hline \text { Thursday } & \ 36 \\ \hline \end{array}$$

Katelyn C.

### Problem 55

Solve each equation. Check your solution.
$$y+\frac{3}{4}=\frac{2}{3}$$

Katelyn C.

### Problem 56

Solve each equation. Check your solution.
$$-4.8=6 z$$

Katelyn C.

### Problem 57

Solve each equation. Check your solution.
$$\frac{3}{8} w=5$$

Katelyn C.

### Problem 58

Write each number in scientific notation.
$$52,000,000$$

Katelyn C.

### Problem 59

Write each number in scientific notation.
$$42,240$$

Katelyn C.

### Problem 60

Write each number in scientific notation.
$$0.038$$

Katelyn C.

### Problem 61

Write each number in scientific notation.
$$0.00021$$

Katelyn C.

### Problem 62

Solve each equation. Check your solution.
$$10 x=300$$

Katelyn C.

### Problem 63

Solve each equation. Check your solution.
$$25 m=225$$

Katelyn C.

### Problem 64

Solve each equation. Check your solution.
$$8 k=320$$

Katelyn C.

### Problem 65

Solve each equation. Check your solution.
$$192=4 t$$

Katelyn C.
$$195=15 w$$