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180 calories per 8 ounces

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90 pounds per 7.5 square inches

90 pounds 7.5 square inches

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$612.50 for 35 hours

$612.50 35 hours

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Find Unit Rates

In the following exercises, find the unit rate.

180 calories per 8 ounces

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90 pounds per 7.5 square inches

12 pounds/sq.in.

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$612.50 for 35 hours

$17.50/hour

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Find Unit Price

In the following exercises, find the unit price.

Highlighters: 6 for $2.52

$0.42

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

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

$1.65

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In the following exercises, find each unit price and then determine the better buy.

Shampoo: 12 ounces for $4.29 or 22 ounces for $7.29 ?

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Vitamins: 60 tablets for $6.49 or 100 for $11.99 ?

$0.11, $0.12; 60 tablets for $6.49

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Translate Phrases to Expressions with Fractions

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

a adults to 45 children

a adults 45 children

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the ratio of 4 y and the difference of x and 10

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the ratio of 19 and the sum of 3 and n

19 3 + n

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Simplify and Use Square Roots

Simplify Expressions with Square Roots

In the following exercises, simplify.

Estimate Square Roots

In the following exercises, estimate each square root between two consecutive whole numbers.

Approximate Square Roots

In the following exercises, approximate each square root and round to two decimal places.

Simplify Variable Expressions with Square Roots

In the following exercises, simplify. (Assume all variables are greater than or equal to zero.)

Use Square Roots in Applications

In the following exercises, solve. Round to one decimal place.

Art Diego has 225 square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be?

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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?

5.5 feet

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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?

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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?

72 mph

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Chapter practice test

Write six and thirty-four thousandths as a decimal.

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Write 1.73 as a fraction.

1 73 100

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Round 16.749 to the nearest tenth hundredth whole number

  1. 16.7
  2. 16.75
  3. 17

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Write the numbers 4 5 , −0.1 , 0.804 , 2 9 , −7.4 , 0.21 in order from smallest to largest.

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In the following exercises, simplify each expression.

0.96 ÷ ( −12 )

−0.08

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24 ÷ ( 0.1 + 0.02 )

200

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In the following exercises, solve.

Three friends went out to dinner and agreed to split the bill evenly. The bill was $79.35 . How much should each person pay?

$26.45

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A circle has radius 12 . Find the circumference and area. [ Use 3.14 for π .]

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The ages, in months, of 10 children in a preschool class are:
55 , 55 , 50 , 51 , 52 , 50 , 53 , 51 , 55 , 49
Find the mean median mode

  1. 59
  2. 51.5
  3. 55

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Of the 16 nurses in Doreen’s department, 12 are women and 4 are men. One of the nurses will be assigned at random to work an extra shift next week. Find the probability a woman nurse will be assigned the extra shift. Convert the fraction to a decimal.

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Find each unit price and then the better buy.
Laundry detergent: 64 ounces for $10.99 or 48 ounces for $8.49

64 ounces for $10.99 is the better buy

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In the following exercises, simplify.

Estimate 54 to between two whole numbers.

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

15 feet

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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