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Algebra 2 EXTRA CREDIT - end of year Summation

Total questions: 75

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Use the correct "order of operations" to evaluate the expression:

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

2.

Use the correct "order of operations" to evaluate the expression:

-2 x (3 + 8 ÷ 4)2

a)

-16

b)

1.375

c)

4

d)

-50

3.

Use the correct "order of operations" to evaluate the expression:

(2 + 7 - 1) ÷ 22

a)

16

b)

2

c)

72.25

d)

8.75

4.

Use the correct "order of operations" to evaluate the expression:

(3 - 42)2 + 8

a)

177

b)

33

c)

34

d)

155

5.

Use the correct "order of operations" to evaluate the expression:

75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

711

d)

300

6.

Use the correct "order of operations" to evaluate the expression:

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

7.

Simplify the expression:

5a + 2a2 + 2a

a)

9a

b)

8a

c)

7a

d)

2a2 + 7a

8.

Simplify the expression:

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

9.

Simplify the expression:


3x2 - x + 7 + 5x + 2 - 2x2

a)

x2 + 4x + 9

b)

5x2 + 9

c)

15

d)

15x

10.

Simplify the Expression:


3x2y + 4x - 6y + 4x2y -2y

a)

11x2y - 8y

b)

3y

c)

7x2y - 4y

d)

7x2y + 4x - 8y

11.

Simplify the Expression:


2x2 - 7x + 10 - x2

a)

-4x2 + 10

b)

20x

c)

x2 - 7x + 10

d)

3x2 - 7x - 10

12.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

13.

Find the functions value at f(-2):

f(x) = 3x2 - 2x + 1

a)

-7

b)

9

c)

17

d)

-15

14.

Find f(-3) for the function:

   f(x)=2x26\ \ f\left(x\right)=-2x^2-6  

a)

0

b)

12

c)

-24

d)

-18

15.

Evaluate the function:

 f(2)=? ; f(x) = 3x2 + 1f\left(-2\right)=?\ ;\ f\left(x\right)\ =\ 3x^2\ +\ 1  

a)

19

b)

-11

c)

13

d)

0

16.

Find the functions value at g(55):

f(x) = |23 - x| - 12

a)

-45

b)

21

c)

65

d)

45

17.

Find g(7) for the function:

   g(x)=77  3x\ \ g\left(x\right)=77\ -\ 3x  

a)

56

b)

44

c)

-32

d)

67

18.

Is this relation mapping a function?

a)

yes

b)

no

19.

Does this represent a function?

a)

Yes

b)

No

20.

Is this relation table a function?

a)

yes

b)

no

21.

Is this relation graph a function?

a)

yes

b)

no

22.

Does this represent a function?

a)

Yes

b)

No

23.

Does this represent a function?

a)

Yes

b)

No

24.

Is this relation graph a function?

a)

yes

b)

no

25.

Does this represent a function?

a)

Yes

b)

No

26.

Does this represent a function?

a)

Yes

b)

No

27.

Is this relation mapping a function?

a)

yes

b)

no

28.

Does this represent a function?

a)

Yes

b)

No

29.

What is the domain of the graph?

a)

D: x > -4

b)

D: x is all real numbers

c)

D: -5 < x < 5

d)

D: y > -4

30.

What is the range of the graph?

a)

R: y > -2

b)

R: y is all real numbers except -2

c)

R: x can not equal -1

d)

R: y < -2

31.

What is the range of the graph?

a)

R: -2 < y > 4

b)

R: -2 < y < 4

c)

R: -1 < y < 5

d)

R: -1 > y > 5

32.

Which graph does not have a domain where x is all real numbers?

a)
b)
c)
d)
33.

Which graph matches the function y=x-4

a)
b)
c)
d)
34.

Which graph matches the function y=-x+4

a)
b)
c)
d)
35.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
36.
Vertical or horizontal?
y = 10
a)
vertical 
b)
horizontal
c)
neither
37.
Which is the equation of the line of the graph?
a)
y = -2x - 2
b)
y= -1/2x - 2
c)
y= 1/2x - 2
d)
y = 2x - 2
38.

What is the equation of the graph?

a)

y=12x+3y=-\frac{1}{2}x+3

b)

y=2x+3y=2x+3

c)

y=2x+3y=-2x+3

d)

y=12x+3y=\frac{1}{2}x+3

39.
What is the equation of the line?
a)
x=-3
b)
y=-3
c)
y=-3x
d)
none of these
40.
What is the equation of the line?
a)
y = 2x + 2
b)
y = 1/2x + 2
c)
y = 2/3x + 2
d)
y = 3/2x + 2
41.

Which is the graph of  y=23x+1y=-\frac{2}{3}x+1  

a)
b)
c)
d)

none of these

42.
What is the equation of the line?
a)
x=3
b)
y=3
c)
y=3x
d)
none of these
43.

Find the slope of the line that passes through the points (2,3) and (1,9).

a)

-6

b)

6

c)

1/6

d)

-1/6

44.

Write the equation of the line that goes through the point (-2,5) and is parallel to the line y=8x+5.

a)

y=8x+8

b)

y=8x-11

c)

y=8x+21

d)

y=-1/8x+3.

45.

Write the equation of the line that goes through the point (1, 4) and is perpendicular to the line y=-1/6x-2.

a)

y=-6x+11

b)

y=-6x-3

c)

y=6x-2

d)

y=6x-4

46.

Write the equation of the line that goes through the points (-2,-7) and (1, 5).

a)

y=-1/4x-9

b)

y=1/4x+3

c)

y=4x+10

d)

y=4x+1

47.

Write the equation of the line that goes through the point (-1,0) and has a slope of -4.

a)

y=-4x-3

b)

y=-4x-4

c)

y=-4x+3

d)

y=-4x+1

48.

Write the equation of the line that goes through the points (-2,1) and (3,-4).

a)

y=x+15

b)

y=-x+9

c)

y=x-11

d)

y=-x-1

49.
Write the equation of a line that passes through the point (-5,-4) and has a slope of 1/5.
a)
y=1/5x - 3
b)
y=-3x-2/5
c)
y= 1/5x - 4
d)
y= 1/5x + 3
50.
Find the equation of the line that passes through the points:

(2, 2) and (3, 4)
a)
y = 2x + 2
b)
y = -2x - 2
c)
y = -2x + 2
d)
y = 2x - 2
51.

Write the equation of the line that goes through the point (-1,-5) and has a slope of 2.

a)

y=2x-13

b)

y=2x+5

c)

y=2x-3

d)

y=2x+2

52.

Solve for y:  3x2y=103x-2y=10  

a)

 y=32x5 y=\frac{3}{2}x-5\   

b)

 y=72xy=\frac{7}{2}x  

c)

 y=32x5y=\frac{-3}{2}x-5  

d)

 y=3x+8y=-3x+8  

53.

What is the relative minima for the graph?

a)

8.1

b)

-2

c)

-4

d)

3

54.

What are the solutions to the graph?

a)

(0, -3) and (0, 2)

b)

(3, 0) and (-2, 0)

c)

(-3, 0) and (2, 0)

d)

2

55.

What are the roots to the graph?

a)

-3, 0, 2

b)

3

c)

-3, 0, 3

d)

-2, 0, 2

56.

What is the relative maxima(s) for the graph?

a)

-2, -1, 2, 4

b)

20

c)

4

d)

-5, -20

57.
Identify the zeros
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
58.

How many zeroes are shown in the graph?

a)

1

b)

2

c)

3

d)

4

59.

Determine if the given point is a solution to the inequality.


(1, -2) for x+3y > -5

a)

yes

b)

no

60.

Solve the inequality for y.

x - y < -3

a)

A

b)

B

c)

C

d)

D

61.

Solve the inequality for y.

-8x + y > -2

a)

A

b)

B

c)

C

d)

D

62.

Solve the inequality for y.

2x + 2y < 6

a)

A

b)

B

c)

C

d)

D

63.

Solve the inequality for y.

3x - 2y > 12

a)

A

b)

B

c)

C

d)

D

64.

Determine if the given point is a solution to the inequality.


(4, 4)

a)

yes

b)

no

65.

Is the point (3, -2) a solution of the linear inequality?

a)

Yes

b)

No

66.

Is the point (-1, -4) a solution of the linear inequality?

a)

Yes

b)

No

67.

Which is the graph of:  y32x2y\le\frac{3}{2}x-2  

a)
b)
c)
d)
68.

Which is the graph of:  y>12x+3y>\frac{-1}{2}x+3  

a)
b)
c)
d)
69.

Graph: y < 7/3 x + 2

a)

A

b)

B

c)

C

d)

D

70.

Graph: y > 2x +5

a)

A

b)

B

c)

C

d)

D

71.

Graph: y < -x + 3

a)

A

b)

B

c)

C

d)

D

72.

Graph: x < 3

a)

A

b)

B

c)

C

d)

D

73.

Graph: y < 1

a)

A

b)

B

c)

C

d)

D

74.

Graph: 5x + 3y < -12

a)

A

b)

B

c)

C

d)

D

75.

Graph: 3x - 4y < 20

a)

A

b)

B

c)

C

d)

D