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Worksheets

End of year review

Total questions: 89

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
2.
a)
Function
b)
Not a Function
3.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
4.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
5.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
6.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
7.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
8.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
9.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
10.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
11.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
12.
Does the table represent a function?
a)
Yes, there  is a repeated x-value. 
b)
No, there aren't any repeated y-values. 
c)
Yes, there are repeated y-values. 
d)
No, there is a repeated x-value. 
13.
a)

8

b)

-24

c)

24

d)

-22

14.
a)

27

b)

21

c)

24

d)

72

15.
a)

30

b)

62

c)

14

d)

32

16.
a)

106

b)

16

c)

26

d)

94

17.
a)

84

b)

92

c)

116

d)

64

18.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
19.
a)
Function
b)
Not a Function
20.
a)
Function
b)
Not a Function
21.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
22.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
23.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
24.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
25.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
26.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
27.
This system has _____ solutions.
a)
0
b)
1
c)
2
d)
Infinitely many
28.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
29.
Solve the following system:
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
30.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
31.
Solve the following system by graphing.  What is the solution?
a)
(3, -2)
b)
(3, -3)
c)
(-3, 2)
d)
(-3, -3)
32.
Solve the system using substitution.
16x + 2y = 2
y = -8x - 1
a)
(2,3)
b)
(-3,7)
c)
No Solution
d)
Infinitely Many Solutions
33.
One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5
a)
subtract the two equations from each other
b)
multiply the second equation by -1 and add the two equations
c)
multiply first equation by 2, multiply the second equation by 1 then add them
d)
multiply the first equation by -2 then add the equations together 
34.
Solve the following system by graphing.  What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
35.
One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion. Two small bottles plus one regular bottle contain 15 ounces of lotion, while one small bottle and two regular bottles contain 19.5 ounces of lotion. How much lotion is contained in the small bottle?
a)
5 ounces
b)
3.5 ounces
c)
8 ounces
d)
6.5
36.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
37.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

38.

21=3+4n+5n21=3+4n+5n  

a)

9

b)

7-7  

c)

6

d)

2

39.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

40.

x+2+6=8x+2+6=8  

a)

0

b)

14

c)

8

d)

4

41.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

42.

Solve 3x - 7 = 32

a)

13

b)

3

c)

12

d)

7

43.
Solve for x.
a)
55
b)
60
c)
15
d)
35
44.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
45.
6 ( 2n + 5 ) = 66
a)
3
b)
5.08
c)
8
d)
432
46.
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
47.

Solve the equation.

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 2.25

48.

6x + 12 = 36

which is the constant

a)

6

b)

6x

c)

12

d)

36

49.

which is the coefficient

6x + 12 = 36

a)

6

b)

6x

c)

12

d)

36

50.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v5

c)

v + 5

51.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
52.

What is the first step in solving this equation?

a)

subtract 3 to both sides

b)

subtract the 6 - 2

c)

distribute 2

d)

distribute -2

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

A

b)

B

c)

C

d)

D

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)

A

b)

B

c)

C

d)

D

58.
a)

A

b)

B

c)

C

d)

D

59.
a)

A

b)

B

c)

C

d)

D

60.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
61.
Factor
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
62.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
63.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
64.
What is a method of checking your work when factoring?
a)
FOIL
b)
asking the teacher every time
c)
assume you're correct
d)
division
65.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
66.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
67.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
68.
Factor
3x² + 17x + 10
a)
(3x-2)(x-5)
b)
(3x+2)(x+5)
c)
(3x-5)(x-2)
d)
(3x+5)(x+2)
69.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
70.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
71.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
72.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
73.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
74.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
75.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
76.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
77.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
78.
Do I need to flip my sign when isolating the y?
2x -3y  ≥ 12
a)
Yes
b)
No
79.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
80.
Untitled Question
a)
A
b)
B
c)
C
d)
D
81.
Untitled Question
a)
A
b)
B
c)
C
d)
D
82.
Untitled Question
a)
A
b)
B
c)
C
d)
D
83.
Untitled Question
a)
A
b)
B
c)
C
d)
D
84.
Untitled Question
a)
A
b)
B
c)
C
d)
D
85.
Untitled Question
a)
A
b)
B
c)
C
d)
D
86.
Untitled Question
a)
A
b)
B
c)
C
d)
D
87.
Untitled Question
a)
A
b)
B
c)
C
d)
D
88.
What does the 'a' represent in the exponential function formula?
a)
Initial Value & Y-Intercept
b)
Growth Factor: Growth or Decay
89.
What does the 'b' represent in the exponential function formula?
a)
Initial Value & Y-Intercept
b)
Growth Factor: Growth or Decay