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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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Questions & Answers

what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue.. sometimes due to these physical problems..the diagnosis may be misdiagnosed. treatment for autism. well it depends on the severity. since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision. play therapy. speech therapy. Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game. string and beads game. the more you interact with the child the more effective
Jharna
results you'll get.. please consult a therapist to know what suits best on your child. and last as a parent. I know sometimes it's overwhelming to guide a special kid. but trust the process and be strong and patient as a parent.
Jharna
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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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