1.4: Unit 1 Review- Ratio, Rate, and Proportion

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Questions

Write the ratios asked for in the questions. Reduce when needed.
1. It snowed for two days and was sunny for five days last week. Write a ratio to compare snowy days to sunny days.
2. The class spends 6 hours a week on math and 8 hours on English. Write the ratio of hours spent on math to English.
3. One kilogram of pork will make enough sausages for 7 people. Write a ratio to express the amount of pork for sausages to the number of people.
4. A jam recipe calls for 8 cups of blue berries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.
Write the ratios in lowest terms.
1. $14:21$
2. $8:24$
3. $15:150$
4. $9:54$
Write the following ratios as rates.
1. 16 cups of water to 4 cups of sugar
2. 150 kilometres to 1.25 hours
3. 465,000 people to 3,000 square kilometres
4. $3.99 to 10 pounds of apples
Use cross multiplication to solve the proportions.
1. $\dfrac{5}{8} = \dfrac{P}{24}$
2. $\dfrac{S}{100} = \dfrac{8}{25}$
3. $\dfrac{4}{N} = \dfrac{8}{40}$
4. $\dfrac{4}{14} = \dfrac{F}{68}$
Use cross multiplication to solve the proportions.
1. $\dfrac{2\frac{1}{4}}{5} = \dfrac{A}{30}$
2. $\dfrac{11}{8} = \dfrac{4\frac{1}{8}}{P}$
3. $\dfrac{3\frac{3}{4}}{5} = \dfrac{8}{X}$
4. $\dfrac{2\frac{2}{3}}{3} = \dfrac{A}{16}$

Answers to Unit 1 Review

1. $2:5$
2. $6:8$
3. $1\rm kg: 7 \rm people$
4. $8 \text{cups berries}: 3 \text{cups sugar}$
1. $2:3$
2. $1:3$
3. $1:10$
4. $1:6$
1. 4 cups water per cup of sugar
2. 120 km/hour
3. 155 people per km²
4. $0.40 per pound of apples
1. $15$
2. $32$
3. $20$
4. $19.43$
1. $13\dfrac{1}{2}$
2. $3$
3. $10\dfrac{2}{3}$
4. $14\dfrac{2}{9}$

TEST TIME!

Ask your instructor for the Practice Test for this unit.

Once you’ve done the Practice Test, you need to do the Unit 1 test.

Again, ask your instructor for this.

Good luck!

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Answers to Unit 1 Review

TEST TIME!