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OpenStax - Intermediate Algebra 2/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 4 / 22

Due : Sunday, January 27, 2030 23:59 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9
1/1 1/1 –/4 1/1 –/1 0/1 1/6 –/1 –/6
Total
4/22 (18.2%)

  • Instructions

    WebAssign is proud to support the open source teaching community through our partnership with OpenStax. Intermediate Algebra, 2nd edition, written by Lynn Marecek and published by OpenStax, is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses. The WebAssign online question content for this title is enriched with student learning resources and is offered as a low-cost option.

    This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 1/1 points  |  Previous Answers OSInterAlg2 2.3.234. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
  • This question allows the student an opportunity to use mathematics in a real-world application using the Pythagorean Theorem.

Brian borrowed a 17–foot extension ladder to use when he paints his house. If he sets the base of the ladder five feet from the house, how many feet up the side of the house will the top of the ladder reach? (Round your answer to one decimal place.)
17'
5'
Correct: Your answer is correct. seenKey

16.2

 ft


†

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2. 1/1 points  |  Previous Answers OSInterAlg2 7.1.913.Tut. My Notes
Question Part
Points
Submissions Used
1
1/1
2/100
Total
1/1
 
  • Tutorials are an optional student help tool available within select questions for just-in-time support. Students can use the tutorial to guide them through the problem-solving process step-by-step using different numbers.

Multiply. Simplify the product.
 
x + 7
x + 9
x2 + 2x − 63
x2 − 49
 
1
Correct: Your answer is correct. webMathematica generated answer key

Solution or Explanation

  • Part 1 of 3

    Factor numerators and denominators of the rational expressions, if possible.

    Consider the first rational expression of the problem.
    x + 7
    x + 9

    There are no common factors, so this expression cannot be factored.

    Now, consider the second rational expression of the problem.
    x2 + 2x − 63
    x2 − 49

    Both the numerator and the denominator can be factored. The trinomial
    (x2 + 2x − 63)
     can be factored into the product
    x + 9
    (x − 7).
     The difference of two squares
    (x2 − 49)
     can be factored into the product
    x + 7
    (x − 7).
    x + 7
    x + 9
    x2 + 2x − 63
    x2 − 49
     = 
    x + 7
    x + 9
    x + 9
    (x − 7)
    x + 7
    (x − 7)

  • Part 2 of 3

    Now multiply the numerators and denominators.

    Write the numerator as a product of all the terms in both numerators and the denominator as a product of all the terms in both denominators.
    x + 7
    x + 9
    (x + 9)(x − 7)
    (x + 7)(x − 7)
     = 
    (x + 7)
    x + 9
    (x − 7)
    (x + 9)
    x + 7
    (x − 7)

  • Part 3 of 3

    Simplify the product by dividing out any common factors.

    The numerator and denominator contain the same three binomials factors,
    (x + 9),
    (x + 7),
     and
    (x − 7),
     which cancel in pairs.
    (x + 7)(x + 9)(x − 7)
    (x + 9)(x + 7)(x − 7)
     =
    1
    1
    = \[{\color{red}1}\]

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3. –/4 points OSInterAlg2 4.7.318. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
  • This question demonstrates how images can be randomized in addition to the standard practice of randomized numbers for problem solving.

Translate to a system of inequalities and solve.
Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for $15 and the landscapes for $10. She needs to sell at least $700 worth of drawings in order to earn a profit.
(a)
Write a system of inequalities to model this situation. (Let p represent the number of portraits sold and let l represent the number of landscapes sold. Enter your answers as a comma-separated list of inequalities.)
700=p·15+l·10, 60=p+l,p≤60,l≤60
(b)
Graph the system.

(c)
Will she achieve her goal of number of drawings sold and make a profit if she sells 20 portraits and 35 landscapes?
    
(d)
Will she achieve her goal of number of drawings sold and make a profit if she sells 40 portraits and 30 landscapes?
    


†

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4. 1/1 points  |  Previous Answers OSInterAlg2 6.5.278. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
  • This question includes prompts to direct the student to enter either a comma-separated list of values or enter NO SOLUTION.

Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
(8b + 1)(2b + 1) = 0
b =
−18​,−12​
Correct: Your answer is correct. webMathematica generated answer key


†

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5. –/1 points OSInterAlg2 7.4.241. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
  • This question features grading for exact answers for solving rational equations.

Solve.
1
p
 + 
6
q
 = 8
 for p
p =


†

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6. 0/1 points  |  Previous Answers OSInterAlg2 8.5.261b. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
  • This question shows simplifying and rationalizing grading for square roots.

Rationalize the denominator and simplify.
8
45
23​√25​
Incorrect: Your answer is incorrect. webMathematica generated answer key


†

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7. 1/6 points  |  Previous Answers OSInterAlg2 2.5.296. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
–/1 –/1 –/1 –/1 1/1 –/1
0/100 0/100 0/100 0/100 1/100 0/100
Total
1/6
 
  • This question uses the WebAssign NumberLine tool to plot inequalities on the number line.

(a)
Graph
x < −8
 on the number line.
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

Help
Write
x < −8
 in interval notation.
(b)
Graph
x ≥ −5.5
 on the number line.
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

Help
Write
x ≥ −5.5
 in interval notation.
(c)
Graph
x ≤ 
1
3
 on the number line.
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

Help
Correct: Your answer is correct.

Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

seenKey

(-infinity, 0.33333333]
Write
x ≤ 
1
3
 in interval notation.


†

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8. –/1 points OSInterAlg2 3.1.009. My Notes
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–/1
0/100
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–/1
 
  • This question features the WebAssign graphing tool to graph an equation in the rectangular coordinate system.

Graph the linear equation
y = x + 7
 by plotting points.
No Solution
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9. –/6 points OSInterAlg2 2.4.RQ.001. My Notes
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Points
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–/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100
Total
–/6
 
  • Responsive Questions personalize the learning experience by asking students to use their own real data, which provides the variables needed to answer each question part.

  • Part 1

    How can I predict how long it will take me to travel a nature trail?
    Use some information about a path or trail that you have previously traveled to predict your rate of travel. Recall that distance traveled is equal to the product of the rate of travel and the time:
    d = rt.
    The values you enter in this part will be used to make later calculations.
    Consider a path or trail that you have traveled before.
    How long is this path in miles?
    mi
    How long, in hours, does it take you to travel this path from beginning to end?
    hr

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