Algebra 1Quarter 3 Assessment Practice

Chapter 5-Exponents and PolynomialsChapter 6-Polynomials and Factoring

Chapter 10-Rational Expressions and Equations

Find the equivalent expression:1.) 2.)

9 2y y11

18

18

11

A)

B)

C) 2

D) 2

y

y

y

y

5 2 2( )a b7 4

9

10 4

14

A)

B)

C)

D)

a b

ab

a b

ab

Find the exponential form of…

3

6

3) 2 2 2 2 y y y

A) 16

B) 8

C) 16

D) 2

y

y

y

y

2

2

4

4) 5 5 5

A) 125

B) 15

C) 35

D) 125

a a

a

a

a

a

Find the simplified form…2 4

4 6

205)

45

x y

x y6 10

2 2

2 2

6 6

4A)

94

B) 9

4C)

9

4D)

9

x y

x y

x y

x y

7

3

246)

12

x

x10

4

4

4

A) 2

2B)

2C)

D) 2x

x

x

x

Simplify

7) 4(-2)(-x)(x)(-x)(x)(x)

Which expression is equivalent to:

5 3 48) ( )c d

20 12 19

9 7 60

A) C)

B) D)

c d cd

c d cd

Which expression is equivalent to:43 33

9) 2

x y 7 7 12 12

12 12 7 7

81 81A) C)

16 16

12 12B) D)

8 8

x y x y

x y x y

Write the equivalent expression to:

22

4

510)

2

x

y

Simplify:6 2 211) (2 ) (4 )x xy

Simplify:

2 2 312) (3 ) (2 )a a b

13) Multiply:

2 2 2( 2 )(12 )xy x y

14) Multiply:

4 5( 4 )( 8 )x y xy

15) Multiply:

( 8)( 8)p p F.O.I.L ? Box Method ? Distribute? Difference of Squares?

16) Factor Completely:

24 24x x

17) Factor Completely:

4 16x

18) Multiply:

26 ( 7)x x x

19) Multiply:2 2(3 2 )(4 5 )x y x xy y

Distribute or use the rectangular box method

20) DIVIDE!

8

3 2

14

28

x y

x y

21) DIVIDE

18 5

11 6

8

32

x y

x y

22) FACTOR

2 264 81x y

24) Which of the following is a factor of

2 8 12?x x

25) Factor

29 6 8a a Remember you can use Kick to the Back, or look at the answer choices and see which one multiplies to the trinomial

25) Factor

29 6 8a a

26) FACTORLook…Four terms!

Two Binomials, may as well factor by grouping

3 23 2 6x x x

27) Factor Completely!

3 210 28 14x x x

28) Simplify:

5 4 5 4(6 3 1) (8 3 1)x x x x x

29) What is the simplified form of:

5p + 8p - 3q - 6p

Combine Like Terms

30) What is the simplified form of:

14) 16z - 3z - 3y - z

31) Multiply:

2(5 3)x

32) Simplify

3 3 2(3 2 4) (4 3 2)x x x x

33) Simplify:2

2

2 6 4

4 12 16

t t

t t

34) Simplify:

5 15

5 15

x

x

35) Simplify:3 2

2

10 21

11 28

x x x

x x

36) Simplify4 4

5 ( 5)( 5)x x x

37) Simplify:

12 5 2 5a a

a a

2 81What is 9 ?

3

xx

x

38)

39) Simplify

2

5( 3)

9

yy

y

40) SOLVE:

2 5

3x x

Rational

EQUATION

15 15Solve: 2

2x x

41)

2

43) What are the solutions for

8 48 0x x

4 3 2

44) What are the solutions for

3 15 18x x x GCF?

Remember to move into Standard Form Ax2+Bx+C=0

45) What are the solutions for

23 11 10?x x

No GCF. Use Kick to back!

2

46) What is the factored form of

16x 40 25?x

47) It takes Mrs. Wheelock 3 hours to grade papers and Mrs. Mangas 5 hours to grade papers. How long would it take them to grade papers if they graded them together?

48) The scuba diving pool behind Sports Chalet can be filled in 18 hours by pipe A and 24 hours by pipe B. If both pipes are filling the pool at the same time, how long will it take to fill the pool?