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Worksheets

Semester2Final

Total questions: 26

Worksheet time: 2hrs 8mins

Name
Class
Date
1.

Find the value of the expression below when x = 2



 4x2+8x54x^2+8x-5  

a)

32

b)

- 27

c)

27

d)

- 5

2.

Find the solution to the equation below.

 4  n2=124\ -\ \frac{n}{2}=12  

a)

- 16

b)

16

c)

8

d)

- 8

3.

If 13t5=15\frac{1}{3}t-5=15 , what is the value of t?

a)

- 30

b)

30

c)

- 60

d)

60

4.

If f(x)=x8f\left(x\right)=-x-8 , find   f(x)=2f\left(x\right)=-2 .

a)

10

b)

6

c)

- 6

d)

- 10

5.

Find the range of the function

 f(x)=84xf\left(x\right)=8-4x  if the domain is  {0, 1, 2}\left\{0,\ 1,\ 2\right\}  

a)

{0, 4, 8}

b)

{- 8, - 4, 0}

c)

{4, 12, 16}

d)

{0, 1, 2}

6.

Find the zeros of the function

a)

2

b)

1

c)

0

d)

- 1

7.

Find the slope

a)

32-\frac{3}{2}

b)

23\frac{2}{3}

c)

32\frac{3}{2}

d)

23-\frac{2}{3}

8.

Find the slope of the line passing through the given two points (- 6, - 13) and (3, - 1).

a)

43\frac{4}{3}

b)

34\frac{3}{4}

c)

34-\frac{3}{4}

d)

43-\frac{4}{3}

9.

Write a linear equation in slope-intercept form with a slope of - 3 and a y-intercept 8

a)

y = - 3x - 8

b)

y = 3x - 8

c)

y = - 3x + 8

d)

y = 3x + 8

10.

Write the equation in slope-intercept form

6x + 3y = 12

a)

y=2x+4y=-2x+4

b)

y=4x+2y=-4x+2

c)

y=2x4y=2x-4

d)

y=2x4y=-2x-4

11.

Find the x and y intercepts of the line


y = 4x - 16

a)

x=4, y=16x=4,\ y=16

b)

x=4, y=16x=-4,\ y=-16

c)

x=4, y=16x=-4,\ y=16

d)

x=4, y=16x=4,\ y=-16

12.

Graph


5x - y = 2

a)
b)
c)
d)
13.

Which graph represents a negative slope?

a)
b)
c)
d)
14.

Write in slope-intercept given the following two points

(5, 2) and (10, - 3)

a)

y = x - 3

b)

y = x - 8

c)

y = - x + 7

d)

y = - x + 12

15.

Solve each system of equations by graphing

{ y = - x + 2


  y = x - 4

a)
b)
c)
d)
16.

Use either substitution or elimination to solve the system of equations


{ 4x + 2y = 6

2x - 2y = -18

a)

(- 2, 7)

b)

(2, 7)

c)

(- 2, - 7)

d)

(2, - 7)

17.

Graph the linear inequality


 y53x+2y\le-\frac{5}{3}x+2  

a)
b)
c)
d)
18.

Which inequality represents the graph?

a)

y<14x+3y<\frac{1}{4}x+3

b)

y>14x+3y>\frac{1}{4}x+3

c)

y14x+3y\le\frac{1}{4}x+3

d)

y14x+3y\ge\frac{1}{4}x+3

19.

Simplify

 7w2×w3×3y47w^2\times w^3\times3y^4  

a)

 21w521w^5  

b)

 21wy2421wy^{24}  

c)

 21w4y521w^4y^5  

d)

 21w5y421w^5y^4  

20.

Simplify

 64n98n3\frac{64n^9}{8n^3}  

a)

 8n128n^{12}  

b)

 6n86n^8  

c)

 8n68n^6  

d)

 6n126n^{12}  

21.

Simplify

 (x22x4)+(x2+2x1)\left(x^2-2x-4\right)+\left(x^2+2x-1\right)  

a)

 2x52x-5  

b)

 2x+4x52x+4x-5  

c)

 2x4x52x-4x-5  

d)

 2x32x-3  

22.

Simplify

 5a2b4(4a42ab+b3)5a^2b^4\left(4a^4-2ab+b^3\right)  

a)

 20a6b410a3b5+a2b720a^6b^4-10a^3b^5+a^2b^7  

b)

 20a6b610a7b7+5a9b920a^6b^6-10a^7b^7+5a^9b^9  

c)

 20a6b410a3b5+5a2b720a^6b^4-10a^3b^5+5a^2b^7  

d)

 20a6b4+10a3b55a2b720a^6b^4+10a^3b^5-5a^2b^7  

23.

Multiply

 (x5)(x+8)\left(x-5\right)\left(x+8\right)  

a)

 x2+3x+40x^2+3x+40  

b)

 x23x40x^2-3x-40  

c)

 x23x+40x^2-3x+40  

d)

 x2+3x40x^2+3x-40  

24.

Divide

 21x4y+49x3y57xy7xy\frac{21x^4y+49x^3y^5-7xy}{7xy}  

a)

 3x3+7x2y413x^3+7x^2y^4-1  

b)

 3x3+7x2y473x^3+7x^2y^4-7  

c)

 3x3y+7x2y413x^3y+7x^2y^4-1  

d)

 3x37x2y4+13x^3-7x^2y^4+1  

25.

Factor
 35w4935w-49  

a)

 7(5w49)7\left(5w-49\right)  

b)

 5(7w7)5\left(7w-7\right)  

c)

 7w(5w7)7w\left(5w-7\right)  

d)

 7(5w7)7\left(5w-7\right)  

26.

Factor

 81p23681p^2-36  

a)

 (6p+9)(6p9)\left(6p+9\right)\left(6p-9\right)  

b)

 (9p6)(9p6)\left(9p-6\right)\left(9p-6\right)  

c)

 (9p+6)(9p6)\left(9p+6\right)\left(9p-6\right)  

d)

 (9p+6)(9p+6)\left(9p+6\right)\left(9p+6\right)