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Part 1 1-15 4 points each

1. Simplify

a

.

 b

.

c

.

d

.

2. The expression is equivalent to

a

.

 b.

2

c

.

d

.

3. The expression is

equivalent to

a

.

 b

.

c

.

d.

4. The expression is equivalent to

a

.

 b

.

c

.

d.

5. Which expression represents in simplest

form

a

.

 b

.

c

.

d

.

!. Which expression is equivalent to

a

.

 b

.

c

.

d

.

". Write the polynomial in standard form.

4 g  # g 3 $ 3 g 2 # 2

a

.

 #2 $ 4 g  $ 3 g 2 # g 3

 b

.

 g 3 # 3 g 2 $ 4 g  # 2

c

.

3 g 3 # g 2 $ 4 g  # 2

d

.

 #  g 3 $ 3 g 2 $ 4 g  # 2

%. Simplify the sum.

&4u3 $ 4u2 $ 2' $ &!u3 # 2u $ %'

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a.

1( # 2u $ 4u2 $ 1( 

u3

 b

.

 #2u3 # 2u2 $ 4u # 1(

c.  #2u3

 $ 4u2

 # 2u $ 1(

d

.

1(u3 $ 4u2 # 2u $ 1(

). What is the solution of the system of equations

and

a.

 b

.c

.

d

.

1(. *raph+

a

.

O   2 4 #2 #4   x

2

4

 #2

 #4

 y

 b

.

O   2 4 #2 #4   x

2

4

 #2

 #4

 y

c

.

O   2 4 #2 #4   x

2

4

 #2

 #4

 y

d

.

O   2 4 #2 #4   x

2

4

 #2

 #4

 y

11. Which number is in the solution set of the

inequality

a

.

5

 b

.

!

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c

.

"

d

.

%

12. Which property of real numbers is illustrated by the

equation

a

.

commutative property

 b

.

associative property

c

.

distributive property

d

.

identity property of addition

13. Which expression represents ,5 less than t-ice x

a

. b

.

c

.d

.

14. What is the slope of the line that passes throu/h the

 points and

a.

 b

.

c

.

d

.

15. Which point is on the line

a

.

 b

.

c

.

d

.

Part 2 16-20 8 points each

1!. Simplify+

1". Subtract from and express

the ans-er as a trinomial.

1%. 0n the set of axes belo- solve the follo-in/

system of inequalities /raphically.

State the coordinates of a point in the solution set.

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1). What is the value of x in the equation

2(. What is the solution of the system of equations

and

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Answer Section

ML"PL# $%&"$#

1. S+ TS+ 1 678+ 92 :;8+ %<1 =ero and e/ative ;xponents0>?+ %<1.1 =ero and e/ative ;xponents T+ 6 ?.1.1 @ 6 ?.1.!

ST+ A .S.1 @ A ..! T0+ %<1 ;xample 2

B;A+ Cero as an exponent @ ne/ative exponent @ simplifyin/ an exponential expression

2. S+ TS+ 2 :;8+ (%(!23a ST+ ..13

T0+ ddition and Subtraction of Donomials

3. S+ TS+ 2 :;8+ (%(423a ST+ ..13

T0+ ddition and Subtraction of olynomials B;A+ subtraction

4. S+ > TS+ 2 :;8+ (1(((%a ST+ ..12T0+ Dultiplication of o-ers

5. S+ TS+ 2 :;8+ (!()(3ia ST+ ..12

T0+ 6ivision of o-ers

!. S+ 6 TS+ 2 :;8+ (%(%2"ia ST+ ..12

T0+ o-ers of o-ers

". S+ 6 TS+ 1 678+ 93

:;8+ )<1 ddin/ and Subtractin/ olynomials 0>?+ )<1.1 6escribin/ olynomials

 T+ ; 2((5 3b @ 6 ?.1.3 ST+ A ..13 T0+ )<1 ;xample 2B;A+ monomial @ de/ree of a monomial @ polynomial @ de/ree of a polynomial @ standard form of a polynomial @ trinomial

%. S+ 6 TS+ 1 678+ 93:;8+ )<1 ddin/ and Subtractin/ olynomials

0>?+ )<1.2 ddin/ and Subtractin/ olynomials T+ ; 2((5 3b @ 6 ?.1.3

ST+ A ..13 T0+ )<1 ;xample 3B;A+ monomial @ de/ree of a monomial @ polynomial @ addin/ polynomials @ de/ree of a polynomial @

standard form of a polynomial @ trinomial

).S+

 

TS+ 2 :;8+ (%11()ia ST+ ..1( T0+ Solvin/ 9inear Systems

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1(. S+ TS+ 1 678+ 92 :;8+ "<5 9inear 7nequalities

0>?+ "<5.1 *raphin/ 9inear 7nequalities T+ ; 2((5 3a @ 6 ?.4.4ST+ A ..! @ A ..21 @ A ..24 @ A .*.! T0+ "<5 ;xample 1

B;A+ linear inequality @ /raphin/

11. S+ 6

TS+ 2 :;8+ (!(311a ST+ ..21 T0+ 7nterpretin/ Solutions

12. S+ > TS+ 2 :;8+ (1()24a ST+ ..1

T0+ 7dentifyin/ roperties

13. S+ TS+ 2 :;8+ (!13(1ia ST+ ..1T0+ ;xpressions

14. S+ 6

TS+ 2 :;8+ (11215ia ST+ ..33 T0+ Slope

15. S+

TS+ 2 :;8+ (11(21ia ST+ ..3) T0+ 7dentifyin/ oints on a 9ine

S%&' A(S)#' 

1!. S+

TS+ 2 :;8+ (1()32ia ST+ ..12 T0+ 6ivision of o-ers

1". S+

TS+ 2 :;8+ (1()34a ST+ ..13

T0+ ddition and Subtraction of olynomials B;A+ subtraction

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1%. S+

TS+ 4 :;8+ (%1(3"ia ST+ .*." T0+ Systems of 9inear 7nequalities

1). S+

TS+ 2 :;8+ (1(!(1a ST+ ..22 T0+ Solvin/ ;quations

2(. S+

 

TS+ 2 :;8+ (!1(12ia ST+ ..1( T0+ Solvin/ 9inear Systems