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One number is one more than twice another. Their sum is −5 . Find the numbers.

−2 , −3

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One number is six more than five times another. Their sum is six. Find the numbers.

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The sum of two numbers is 14. One number is two less than three times the other. Find the numbers.

4, 10

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The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.

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The sum of two consecutive integers is 77. Find the integers.

38, 39

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The sum of two consecutive integers is 89. Find the integers.

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The sum of two consecutive integers is −23 . Find the integers.

−11 , −12

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The sum of two consecutive integers is −37 . Find the integers.

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The sum of three consecutive integers is 78. Find the integers.

25, 26, 27

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The sum of three consecutive integers is 60. Find the integers.

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Find three consecutive integers whose sum is −36 .

−11 , −12 , −13

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Find three consecutive integers whose sum is −3 .

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Find three consecutive even integers whose sum is 258.

84, 86, 88

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Find three consecutive even integers whose sum is 222.

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Find three consecutive odd integers whose sum is 171.

55, 57, 59

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Find three consecutive odd integers whose sum is 291.

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Find three consecutive even integers whose sum is −36 .

−10 , −12 , −14

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Find three consecutive even integers whose sum is −84 .

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Find three consecutive odd integers whose sum is −213 .

−69 , −71 , −73

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Find three consecutive odd integers whose sum is −267 .

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Everyday math

Sale Price Patty paid $35 for a purse on sale for $10 off the original price. What was the original price of the purse?

$45

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Sale Price Travis bought a pair of boots on sale for $25 off the original price. He paid $60 for the boots. What was the original price of the boots?

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Buying in Bulk Minh spent $6.25 on five sticker books to give his nephews. Find the cost of each sticker book.

$1.25

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Buying in Bulk Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.

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Price before Sales Tax Tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?

$1080

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Price before Sales Tax Kenji paid $2,279 for a new living room set, including $129 tax. What was the price of the living room set?

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Writing exercises

What has been your past experience solving word problems?

answers will vary

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When you start to solve a word problem, how do you decide what to let the variable represent?

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What are consecutive odd integers? Name three consecutive odd integers between 50 and 60.

Consecutive odd integers are odd numbers that immediately follow each other. An example of three consecutive odd integers between 50 and 60 would be 51, 53, and 55.

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What are consecutive even integers? Name three consecutive even integers between −50 and −40 .

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

This is a table that has four rows and four columns. In the first row, which is a header row, the cells read from left to right “I can…,” “Confidently,” “With some help,” and “No-I don’t get it!” The first column below “I can…” reads “approach word problems with a positive attitude,” use a problem solving strategy for word problems,” and “solve number problems.” The rest of the cells are blank

If most of your checks were:

…confidently. Congratulations! You have achieved your goals in this section! Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific!

…with some help. This must be addressed quickly as topics you do not master become potholes in your road to success. Math is sequential—every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?

…no—I don’t get it! This is critical and you must not ignore it. You need to get help immediately or you will quickly be overwhelmed. See your instructor as soon as possible to discuss your situation. Together you can come up with a plan to get you the help you need.

Questions & Answers

what is defense mechanism
Chinaza Reply
what is defense mechanisms
Chinaza
I'm interested in biological psychology and cognitive psychology
Tanya Reply
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
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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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