Math 101 Homework

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INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems where the answer is given. On those problems, the correct procedure is the only thing that counts toward the assignment grade.

SOLVING EQUATIONS WITH RADICALS:

Examples: Solve for x. Check by substituting your value for x into the original expression.

Problems:

Solve for x, unless otherwise indicated. Substitute your calculated value into the original expression.

1. Ans: x=36

2.

3.

4. 5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

ADDING / SUBTRACTING / MULTIPLYING POLYNOMIALS:

References:

Example:

You are given two polynomials. (Remember that monomials such as 2x and binomials such as 2x+1 are special cases of polynomials). For each problem, calculate the sum, difference and product of the two polynomials.

Problems 16 through 25: Calculate the sum, difference and product of the two polynomials.

16.

17.

18.

19.

20.

21. 22.

23.

24. 25.

--- end ---

5x6

=

2x8

=

2

x8

3

=

3

x8

=

3x16

-=

3

4

vx

3

p

=

3

4

x27

=

3x69

-=

2x7811

-+=

x

2a

2

=

5xx12

=-

1A

R Solve for A.

2

p

=

3V

R Solve for V.

H

p

=

x4y2 Solve for x.

+=+

2

22

2

22

2

23

3

22

232

2

322

3432

E4:

x:x1

sum:(x)(x1)(xx1)

ANS:(xx1)

diff:(x)(x1)(xx1)

ANS:(xx1)

prod:(x)(x1)(xx)

ANS:(xx)

11.x:x1

12.2x1:xx2x1

13.3x:x3x2

14.x2x3x1:xx4

15.x2x5:xx3x2x

-

+-=+-

+-

--=-++

-++

-=-

-

-

--+-

-+

-+--+

+--+-+

3

x:x1

-

x:y1

-

x1:x2

--

2

x:x

2

x1:x2

--

22

x:x1

-

232

2x1:xx2x1

--+-

2

3x:x3x2

-+

322

x2x3x1:xx4

-+--+

3432

x2x5:xx3x2x3

+--+-+

(

)

(

)

(

)

2

2

2

2

2

2

2

E1.x2

x2

x4

Ans: x4

Checking: 42

E2.x14

x14

x116

x16117

Ans: x17

Checking: 171164

E2.Ax

A

x

A

x

A

Ans: x

AA

Checking: A

p

p

p

p

pp

pp

=

=

=

=

=

-=

-=

-=

=+=

=

-==

=

=

=

=

æö

æö

==

ç÷

ç÷

ç÷

èø

èø

x6

=