1/14/14 2.3 Homework (Quadratic Equations)

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Online Homework System Assignment Worksheet

1/14/14 - 10:05 AM

Name: ____________________________ Class: Post University - College Algebra

(MAT120.37, MOD 3) (1qaq3b2)

Class #: ____________________________ Section #: ____________________________

Instructor:Maple T.A. Administrator Assignment:2.3 Homework (Quadratic Equations)

Question 1: (1 point)

Solve by factoring.

If there are multiple solutions, separate the answers with semicolons (;).

__________

Question 2: (1 point)

Solve by factoring.

If there are multiple solutions, separate the answers with semicolons (;).

__________

Question 3: (1 point)

Find the discriminant and identify the best description of the equation's root(s).

(a)1 real and 1 complex root

= 3x+18x2

x =

6 +13x = 5x2

x =

+5 = x−2x2 7√

1/14/14 2.3 Homework (Quadratic Equations)

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(b) 2 complex solutions

(c) 1 complex solution

(d) 1 real solution

(e) 2 real solutions

Question 4: (1 point)

At a tennis club, a 15,000 ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 800

feet of fencing is used to enclose the three courts, including the interior sides.

What are the possible dimensions, in feet, of the entire rectangular area?

Select all that apply.

(a) feet by feet

(b) feet by feet

(c) feet by feet

(d) feet by feet

feet by feet

25 600

100 150

100 50

100 300

300 50

1/14/14 2.3 Homework (Quadratic Equations)

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(e)

Question 5: (1 point)

A ladder of length 2x+1 feet is positioned against a wall such that the bottom is x−1 feet away from a wall. The distance

between the floor and the top of the ladder is 2x feet.

Find the length, in feet, of the ladder.

The length of the ladder is ____________feet.

Assume that a right angle is formed by the wall and the floor.

Question 6: (1 point)

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between

the rock and the ground seconds after the rock leaves the edge is given by

How many seconds after the rock leaves the edge is it feet from the ground?

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

____________ seconds

How many seconds after the rock leaves the edge does it hit the ground?

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

____________ seconds

t d = −16 − 4t + 472.t2

460

1/14/14 1.5 Homework (Factoring)

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Online Homework System Assignment Worksheet

1/14/14 - 10:04 AM

Name: ____________________________ Class: Post University - College Algebra

(MAT120.37, MOD 3) (1qaq3b2)

Class #: ____________________________ Section #: ____________________________

Instructor:Maple T.A. Administrator Assignment:1.5 Homework (Factoring)

Question 1: (1 point)

Factor completely.

(a)

(b)

(c)The expression cannot be factored

(d)

(e)

Question 2: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 3: (1 point)

Factor completely.

16 + 4 − 12 a − 4 aa3b2 a2b2 b3 b2

4 (4 a − 3 b)a2b2

4 (4 − 3 b)ab2 a2

16 (1 + 4 − 12 − 4 )a3b2 a2b2 ab3 ab2

4 (4 + a − 3 b − 1)ab2 a2

6 (2 − y) − 8 (2 − y) + 4x (y − 2)x3 x2

6 (2 − y) − 8 (2 − y) + 4x (y − 2)x3 x2

2 + 3 − 4y − 63 2

1/14/14 1.5 Homework (Factoring)

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Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 4: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 5: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 6: (1 point)

2 + 3 − 4y − 6y3 y2

2 + 3 − 4y − 6y3 y2

−9z+20z2

−9z+20z2

−18m−40m2

−18m−40m2

1/14/14 1.5 Homework (Factoring)

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Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 7: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 8: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

2 +11x−6x2

2 +11x−6x2

3 −8 z+5y4 y2 z2

3 −8 z+5y4 y2 z2

40 −70x + 15x2

40 −70x + 15x2

1/14/14 1.5 Homework (Factoring)

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Question 9: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 10: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 11: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

25 + 30x + 9x2

25 + 30x + 9x2

16 − 72xy + 81x2 y2

16 − 72xy + 81x2 y2

121 −m2 n6

121 −m2 n6

1/14/14 1.5 Homework (Factoring)

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Question 12: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 13: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 14: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

216 + 1x3

216 + 1x3

64 − 27t3

64 − 27t3

− 125s6t3 u12

− 125s6t3 u12

1/14/14 1.5 Homework (Factoring)

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Question 15: (1 point)

Factor.

(a)

(b)

(c)

(d)

(e)

(f) The expression cannot be factored.

(g)

+(2r − 3s)3 t9

((2r − 3s) + )( − (2r − 3s) t + )t3 (2r − 3s)2 t6

((2r − 3s) − )( + (2r − 3s) + )t3 (2r − 3s)2 t3 t6

((2r − 3s) + )( − (2r − 3s) + )t3 (2r − 3s)2 t3 t6

((2r − 3s) − )( − (2r − 3s) − )t3 (2r − 3s)2 t3 t6

((2r − 3s) − )( − (2r − 3s) + )t3 (2r − 3s)2 t3 t6

((2r − 3s) + )( − (2r − 3s) − )t3 (2r − 3s)2 t3 t6

1/14/14 1.4 Homework (Polynomials)

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Online Homework System Assignment Worksheet

1/14/14 - 9:28 AM

Name: ____________________________ Class: Post University - College Algebra

(MAT120.37, MOD 3) (1qaq3b2)

Class #: ____________________________ Section #: ____________________________

Instructor:Maple T.A. Administrator Assignment:1.4 Homework (Polynomials)

Question 1: (1 point)

Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coefficient, and then

classify it according to its degree and number of terms.

(a)

Write the polynomial in standard form.

(a)

(b)

(c)

(d)

(e)

(f)

(b)

The degree of the polynomial is ____________.

The leading coefficient is ____________.

This polynomial is a __________ __________.

3 − 8x − 5 + 6x2 x3

6−5 +3 − 8xx3 x2

−5 − 8x+3 + 6x3 x2

−5 +3 + 6 − 8xx3 x2

−5 +3 − 8x + 6x3 x2

3 −5 − 8x + 6x2 x3

6 − 8x−5 +3x3 x2

1/14/14 1.4 Homework (Polynomials)

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Question 2: (1 point)

Simplify.

Enter the expression in simplest form.

=

Question 3: (1 point)

Simplify.

Enter the expression in simplest form.

=

Question 4: (1 point)

Simplify.

Enter the expression in simplest form.

=

(2 + (5a + 6) − ) − (7a − (6 − 2 + 5a) − 4(a + 6))a4 a2 a3 a2

(2 + (5a + 6) − ) − (7a − (6 − 2 + 5a) − 4(a + 6))a4 a2 a3 a2

(4 − 5) (3 + 7)x2 x2

(4 − 5) (3 + 7)x2 x2

(x + 3) ( + 2x + 4 + x)x2

(x + 3) ( + 2x + 4 + x)x2

1/14/14 1.4 Homework (Polynomials)

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Question 5: (1 point)

Simplify.

Enter the expression in simplest form.

=

Question 6: (1 point)

Simplify.

Enter the expression in simplest form.

Question 7: (1 point)

Simplify.

(a)

(b)

(c)

(2 + 3xy − 5 )x2 y 2 2

(2 + 3xy − 5 )x2 y 2 2

(4 x − 3 y)2

( p − 2 )5√ r 4 3

5 + 30 − 12 p + 85√ p3 p2 r 4 5√ r 8 r 12

5 − 30 − 12 p − 85√ p3 p2 r 4 5√ r 8 r 12

5 − 30 p − 12 p − 85√ p3 r 4 5√ r 8 r 12

5 − 30 + 12 p − 83 2 4 8 12

1/14/14 1.4 Homework (Polynomials)

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(d) 5 − 30 + 12 p − 85√ p 3 p2 r 4 5√ r 8 r 12

1/14/14 Unit 2 Exam

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Online Homework System Assignment Worksheet

1/14/14 - 10:11 AM

Name: ____________________________ Class: Post University - College Algebra

(MAT120.37, MOD 3) (1qaq3b2)

Class #: ____________________________ Section #: ____________________________

Instructor:Maple T.A. Administrator Assignment:Unit 2 Exam

Question 1: (1 point)

Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coefficient, and then

classify it according to its degree and number of terms.

(a)

Write the polynomial in standard form.

(a)

(b)

(c)

(d)

(b)

The degree of the polynomial is ____________.

The leading coefficient is ____________.

This polynomial is a __________ __________.

Question 2: (1 point)

Simplify.

−2b2

−2 + + 1b2 b

−2 +b2 b

−2 + b2

−2b2

(7 + (3a + 6) − ) − (7a − (4 − 6 + 5a) − 5(a + 6))a4 a2 a3 a2

1/14/14 Unit 2 Exam

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Enter the expression in simplest form.

=

Question 3: (1 point)

Simplify.

Enter the expression in simplest form.

=

Question 4: (1 point)

Simplify.

Enter the expression in simplest form.

=

Question 5: (1 point)

Simplify.

(7 + (3a + 6) − ) − (7a − (4 − 6 + 5a) − 5(a + 6))a4 a2 a3 a2

(5 − 7) (6 + 2)x2 x2

(5 − 7) (6 + 2)x2 x2

(5 + 3pq − 6 )p2 q22

(5 + 3pq − 6 )p2 q22

3

1/14/14 Unit 2 Exam

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(a)

(b)

(c)

(d)

Question 6: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 7: (1 point)

Factor completely .

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

( z − 8 )2√ P 2 3

2 − 48 + 192 z − 5122√ z3 z2 P 2 2√ P 4 P 6

2 − 48 − 192 z − 5122√ z3 z2 P 2 2√ P 4 P 6

2 − 48 z − 192 z − 5122√ z3 P 2 2√ P 4 P 6

2 − 48 − 192 z + 5122√ z3 z2 P 2 2√ P 4 P 6

15 (y + 5) − 30 (−5 − y) − 10x (y + 5)x3 x2

15 (y + 5) − 30 (−5 − y) − 10x (y + 5)x3 x2

4 + 3 − 32y − 24y3 y2

4 + 3 − 32y − 24y3 y2

1/14/14 Unit 2 Exam

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Question 8: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 9: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 10: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

−3x−10x2

−3x−10x2

5 −31y−28y2

5 −31y−28y2

24 −34w + 12w2

24 −34w + 122

1/14/14 Unit 2 Exam

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=

Question 11: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 12: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 13: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

24 −34w + 12w2

4 − 12y + 9y2

4 − 12y + 9y2

9 + 24st + 16s2 t2

9 + 24st + 16s2 t2

4 − 9p10 w2

4 − 910 2

1/14/14 Unit 2 Exam

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=

Question 14: (1 point)

Factor completely.

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

=

Question 15: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

=

Question 16: (1 point)

Factor completely.

Enter the factors. Enter the original expression if it cannot be factored.

4 − 9p10 w2

4 + 9p10 w2

4 + 9p10 w2

125 − 27s3

125 − 27s3

125 − 8x3z6 y3

1/14/14 Unit 2 Exam

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=

Question 17: (1 point)

Solve.

If there are multiple solutions, separate the answers with semicolons (;).

__________

Question 18: (1 point)

Solve.

If there are multiple solutions, separate the answers with semicolons (;).

__________

Question 19: (1 point)

Find the discriminant and identify the best description of the equation's root(s).

(a) 1 real solution

(b)2 complex solutions

125 − 8x3z6 y3

= −3x+4x2

x =

6 +11x = 2x2

x =

2 −5 = −2xx2

1/14/14 Unit 2 Exam

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(c) 2 real solutions

(d) 1 complex solution

(e) 1 real and 1 complex root

Question 20: (1 point)

At a tennis club, a ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of

feet of fencing is used to enclose the three courts, including the interior sides.

What are the possible dimensions, in feet, of the entire rectangular area?

Select all that apply.

(a) feet by feet

(b) feet by feet

(c) feet by feet

(d) feet by feet

(e) feet by feet

Question 21: (1 point)

16,500 860

330 50

25 660

110 150

50 165

100 165

1/14/14 Unit 2 Exam

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A ladder of length feet is positioned against a wall such that the bottom is feet away from a wall. The

distance between the floor and the top of the ladder is feet.

Find the length, in feet, of the ladder.

Assume that a right angle is formed by the wall and the floor.

The length of the ladder is ____________feet.

Question 22: (1 point)

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between

the rock and the ground seconds after the rock leaves the edge is given by

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

How many seconds after the rock leaves the edge is it feet from the ground?

____________ seconds

How many seconds after the rock leaves the edge does it hit the ground?

____________ seconds

2x + 2 x − 2 2x

t d = −16 − 8t + 500.t2

467

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· Week Two Pre-Test

· Week Two Post-Test (review)

· Click on Study Plan

· Click on Ch. 2

· Click on 2.1

· Click on “Quiz Me” in the upper right hand corner

· Click on 2.5

· Click on “Quiz Me” in the upper right hand corner

· Click on 2.6

· Click on “Quiz Me” In the upper right hand corner

· Week Two Post Test

Other Class

· See additional attachments

· Homework 1.4

· Homework 1.5

· Homework 2.3

· Unit 2 Exam

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