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Exam #2 Review

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

(4.1) Solve the linear inequality. Graph the solution set on a number line.

-4(x+2)>3x+20

a)

(-infinity, -4) U (4, infinity)

b)

(-infinity, -5)

c)

(-infinity, -4)

d)

(-infinity, 4)

2.

(4.1) Solve the linear inequality. Graph the solution set on a number line.

5x<5(x-3)

a)

All Real Numbers

b)

No Solution

c)

(-infinity, 5]

d)

(-infinity, 5)

3.

(4.3) Find the solution set.

|3x-2|+4=4

a)

-3/2

b)

-2/3

c)

3/2

d)

2/3

4.

(4.3) Solve and graph the solution set on a number line.

|3x+5|<17

a)

(-22/3, 4)

b)

(-22/3, 4]

c)

(-4, 22/3)

d)

(-4, 22/3]

5.

(4.4) Graph the inequality

y≤ 2x-1

a)

SHOW DOM

b)

SHOW DOM (correct answer)

c)

SHOW DOM

d)

SHOW DOM

6.

(4.4) Graph the solution set of each system of inequalities.

3x+y≤ 6

y≤ 4

x≥-2

a)

SHOW DOM

b)

SHOW DOM (correct answer)

c)

SHOW DOM

d)

SHOW DOM

7.

(5.1) Add the polynomials

(-4x^2y+xy)

+

(7x^2y+8xy)

a)

11x^2y+7xy

b)

3x^2y+7xy

c)

11x^2y+9xy

d)

3x^2y+9xy

8.

(5.1) Subtract the polynomials.

(18x^3-2x^2-7x+8)

-

(9x^3-6x^2-5x+7)

a)

27x^3+8x^2+12x+15

b)

9x^3+4x^2-2x+1

c)

9x^3-4x^2+x-1

d)

7x^3+8x^2

9.

(5.2) Multiply

5ab^2(10a^2b^3+7ab)

a)

15a^2b^6+12ab^2

b)

15a^3b^5+12a^2b^3

c)

50a^3b^5+35a^2b^3

d)

50a^2b^6+35ab^2

10.

(5.2) Find the product.

(x^2-2x+3)(x^2+x+1)

a)

2x^4-2x^3+2x^2+x-3

b)

2x^4-2x^3+2x^2+x+3

c)

x^4+x^3-2x^2-x-3

d)

x^4-x^3+2x^2+x+3

11.

(5.3) Factor out the GCF

20x^4-8x^2

a)

4x^2(5x^2+2)

b)

4x^2(5x^2-2)

c)

2x^2(10x^2-4)

d)

x^2(20x^2-8)

12.

(5.3) Factor (Grouping is encouraged, but use any method)

x^3-2x^2+5x-10

a)

(x-2)(x^2+5)

b)

(x-2)(x^2-5)

c)

(x+2)(x^2+5)

d)

(x+2)(x^2-5)

13.

(5.4) Factor completely.

4x^2-4x-8

a)

2(x+1)(x-2)

b)

2(2x+1)(2x-2)

c)

4(x-1)(x+2)

d)

4(x+1)(x-2)

14.

(5.4) Factor Completely.

2x^2+3xy+y^2

a)

(x-y)(2x-y)

b)

(x-y)(2x+y)

c)

(x+y)(2x+y)

d)

(x+y)(2x-y)

15.

(5.5) Factor

64x^2-25y^2

a)

(8x+5y)^2

b)

(8x+5y)(8x-5y)

c)

(8x-5y)^2

d)

8x-5y

16.

(5.5) Factor completely.

6x^2-6y^2

a)

6(x+y)(x-y)

b)

6(x+y)^2

c)

6(x-y)^2

17.

(5.6) Factor completely.

12x^2y-27y-4x^2+9

a)

(2x+3)^2(3y+1)

b)

(2x-3)^2(3y+1)

c)

(2x+3)(2x-3)(3y-1)

d)

(2x+3)^2(3y-1)

18.

(5.6) Factor Completely

5y^3-45y^2+70y

a)

5y(y-2)(y+7)

b)

5y(y+2)(y-7)

c)

5y(y+2)(y+7)

d)

5y(y-2)(y-7)

19.

(5.7) Use factoring to solve.

4x^2=12x-9

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

20.

(5.7) Use factoring to solve. (Hint: you can always utilize substitution to check the validity of your answer.)

x^4-6x^3+9x^2=0

a)

No Solution

b)

All Real Numbers

c)

{0,-3}

d)

{0,3}