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Aufmann - Algebra: Introductory & Intermediate 4/e (Homework)

James Finch

Math - Developmental, Fall 2010

Instructor: Dr. Friendly

Current Score: 5/41

Due: Wednesday, August 18, 2010 22:50 EDT

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Question
Points
1 2 3 4 5 6 7 8 9 10
4 1/3 0/7 0/1 0/7 0/1 0/7 0/1 0/4 0/6
Total
5/41

Description

Here are some textbook questions from Algebra: Introductory and Intermediate 4/e by Richard N. Aufmann, Vernon C. Barker, and Joanne S. Lockwood published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. 4/4 points All Submissions Notes Question: AufIIAlg4 2.5.014.SBS.
Question part
Points
Submissions
1 2 3 4
1 1 1 1
1/50 1/50 1/50 1/50
Total
4/4
 
Solve. Write the solution in set-builder notation.
3x + 1 < 10
STEP 1: Subtract the constant.
3x <
Enter an exact number.
Your answer is correct.

STEP 2:
Divide by the coefficient of x.
1 (3x) < 1 (
Enter an exact number.
Your answer is correct.)
3 3

STEP 3:
Use set-builder notation.
{x | x Your answer is correct.
Enter an exact number.
Your answer is correct. }

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2. 1/3 points All Submissions Notes Question: AufIIAlg4 2.5.006.
Question part
Points
Submissions
1 2 3
0/1 1 0/1
1/50 1/50 2/50
Total
1/3
 
Solve. Write the solution in set-builder notation and graph the solution set.
x + 7 ≥ 3
{x | x Your answer is incorrect.
Enter a number.
Your answer is correct. }

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3. –/7 points Notes Question: AufIIAlg4 3.1.027.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/7
 
Find the measure of anglea given mangleb = 170° and manglec = 74°.
Step 1:  Set up an equation from the basic properties of angles.
A ray that is rotated one complete revolution about its starting point creates an angle of 360°.
Therefore we know that manglea + mangleb + manglec = 360°.
Step 2:  Fill the values for mangleb and manglec into the equation.
manglea + mangleb + manglec = 360°
manglea +
Enter an exact number.
° + 74° = 360°
Step 3:  Add mangleb + manglec.
manglea +
Enter an exact number.
° = 360°.
Step 4:  Subtract
Enter an exact number.
 from both sides of the equation.
manglea +
Enter an exact number.
° −
Enter an exact number.
° = 360° −
Enter an exact number.
°.
manglea =
Enter an exact number.
°.

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4. –/1 points Notes Question: AufIIAlg4 3.1.031.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Find the measure of anglex given angley = 20°.
anglex =
Enter an exact number.
°

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5. –/7 points Notes Question: AufIIAlg4 4.7.008.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/7
 
Graph the solution set.
7x − 2y ≤ 14
STEP 1: Isolate the term containing y.
-2y ≤ + 14
STEP 2: Solve for y.
y
Enter an exact number as an integer, fraction, or decimal.
x -
Enter an exact number.
STEP 3: Change the inequality to an equality.
y =
STEP 4: Graph the line as either solid or dashed.

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STEP 5: Shade the region defined by the inequality in STEP 2.

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6. –/1 points Notes Question: AufIIAlg4 4.7.009.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Graph the solution set.
x + 7y < -6

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7. –/7 points Notes Question: AufIIAlg4 6.4.014.SBS.
Question part
Points
Submissions
1 2 3 4 5 6 7
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/7
 
Divide by using long division.
(x2 – 17x + 30) ÷ (x – 2)
STEP 1: Write the polynomials in long division format.

x - 2 x2 - 17 x + 30

STEP 2:
Simplify   x2.
x
x – 2  x2 – 17x + 30
STEP 3: Multiply x(x – 2).
   x
x – 2  x2 – 17x + 30
STEP 4: Subtract.
     x
x – 2     x2 – 17x + 30
– (x2 – 2x)
STEP 5:
Simplify   -15x.
x
     x + ( )
x – 2     x2 – 17x + 30
– (x2 – 2x)
-15x
STEP 6: Bring down the next term. Multiply -15(x-2).
     x - 15
x – 2     x2 – 17x + 30
– (x2 – 2x)
   -15x + 30 
STEP 7: Subtract.
     x - 15
x – 2    x2 – 17x + 30
– (x2 – 2x)
  -15x + 30  
-(-15x + 30)
STEP 8: What is the final quotient?

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8. –/1 points Notes Question: AufIIAlg4 6.4.020.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
Divide.
(28x2 – 3x + 1) ÷ (4x + 3)

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9. –/4 points Notes Question: AufIIAlg4 9.3.028.
Question part
Points
Submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50
Total
0/4
 
Solve the following equations. Describe the solution by using the following terms: integer, rational number, irrational number, and real number. Note that more than one term may be used to describe the answer.
(a) x2 + 4 = 7
x =
Enter a mathematical expression or equation with exact values.



(b) x3/4 = 9
x =
Enter a mathematical expression or equation with exact values.



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10. –/6 points Notes Question: AufIIAlg4 10.5.004.
Question part
Points
Submissions
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50
Total
0/6
 
Solve and graph the solution set.
\small \[(x + {\color{red}6})(x-{\color{red}3}) > 0\]
{x|x
Enter an exact number.
 x
Enter an exact number.
 }

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