수와 연산 전체 문제

Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

$28$ inches to $3$ feet

Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

$126$ miles in $4$ hours

Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

$\char36 612.50$ for $35$ hours

Find Unit Rates

In the following exercises, find the unit rate.

$126$ miles in $4$ hours

Find Unit Rates

In the following exercises, find the unit rate.

$\char36 612.50$ for $35$ hours

An office supply store sells a box of pens for $\char36 11.$ The box contains $12$ pens. How much does each pen cost?

Anna bought a pack of $8$ kitchen towels for $\char36 13.20.$ How much did each towel cost? Round to the nearest cent if necessary.

Translate Phrases to Expressions with Fractions

In the following exercises, translate the English phrase into an algebraic expression.

$535$ miles per $h\,\text{hours}$

Landscaping Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of $30$ square feet. How long can a side of the flower garden be?

Gravity A hiker dropped a granola bar from a lookout spot $576$ feet above a valley. How long did it take the granola bar to reach the valley floor?

Accident investigation The skid marks of a car involved in an accident were $216$ feet. How fast had the car been going before applying the brakes?

Yanet wants a square patio in her backyard. She has $225$ square feet of tile. How long can a side of the patio be?

Convert the percent to: ⓐ a fraction and ⓑ a decimal

The U.S. Census estimated that in $2013,44\%$ of the population of Boston age $25$ or older have a bachelor's or higher degrees.

In $2000,4.2\%$ of the United States population was of Asian descent. (Source: www.census.gov)

According to government data, in $2013$ the number of cell phones in India was $70.23\%$ of the population.

Insurance copayment Carrie had to have $5$ fillings done. Each filling cost $\char36 80.$ Her dental insurance required her to pay $20\%$ of the cost. Calculate Carrie’s cost

1. ⓐ by finding her copay for each filling, then finding her total cost for $5$ fillings, and
2. ⓑ by multiplying $5(0.20)(80).$
3. ⓒ Which of the Properties of Real Numbers did you use for part (b)?

Cooking time Helen bought a $\text{24-pound}$ turkey for her family’s Thanksgiving dinner and wants to know what time to put the turkey in the oven. She wants to allow $20$ minutes per pound cooking time.

1. ⓐ Calculate the length of time needed to roast the turkey by multiplying $24\cdot 20$ to find the number of minutes and then multiplying the product by $\frac{1}{60}$ to convert minutes into hours.
2. ⓑ Multiply $24\left(20\cdot \frac{1}{60}\right).$
3. ⓒ Which of the Properties of Real Numbers allows you to multiply $24\left(20\cdot \frac{1}{60}\right)$ instead of $(24\cdot 20)\frac{1}{60}?$

The population of the United States on July 4, 2010 was almost $310,000,000.$

The population of the world on July 4, 2010 was more than $6,850,000,000.$

Writing a Check Marissa’s kitchen remodeling cost $18,549. She wrote a check to the contractor. Write the amount paid in words.