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Algebra 2 End of Semester 1 Exam

Total questions: 44

Worksheet time: 4hrs 55mins

Name
Class
Date
1.
2. What type of function is present? 
a)
Linear Inequality
b)
Linear Equation
c)
Exponential Growth
d)
Absolute Value
2.
Does this graph have a maximum or a minimum?
a)
Maximum
b)
Minimum
3.
Does this question have a maximum or a minimum?
a)
Maximum
b)
Minimum
4.
a)
A
b)
B
c)
C
d)
D
5.

Find the y-intercept y = x2 - 6x + 5

a)

(0, 8)

b)

(0, - 6)

c)

(5, 0)

d)

(0, 5)

6.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
7.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
8.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
9.
What is the formula above primarily used for?
a)
Finding the axis of symmetry from standard form
b)
Finding the vertex from standard form
c)
Finding the vertex from vertex form
d)
Finding the vertex from standard form
10.
What is the axis of symmetry?
y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
11.
How many extrema (maxes and mins) are in the picture?
a)
2
b)
3
c)
4
d)
5
12.
What is the relative max?
a)
y = 36 at x = 0
b)
y = -6.55 at x= -2.55
c)
(-∞, ∞)
d)
None
13.

Does the polynomial have an even or odd degree?

a)

Even

b)

Odd

14.

What are the zeros for the given polynomial? (Check all that apply)

a)

(-4,0)

b)

(-3,0)

c)

(-2,0)

d)

(-1,0)

e)

(2,0)

15.

For the given polynomial graph, which is the relative maximum?

a)

(1,8)

b)

(2,1)

c)

(1,2)

d)

(-1,-2)

16.
The function has roots located at...
a)
-2 and 3
b)
-2, -1 and 3
c)
2 and -3
d)
2 and 0
17.

Which of the two graphs have an even degree?

a)
b)
c)
d)
18.

How would you describe the point at (1,7)?

a)

Local Minimum

b)

Absolute Minimum

c)

Local Maximum

d)

Absolute Maximum

19.

What is the Domain of the function being graphed?

a)

(-∞, ∞)

b)

[7, ∞)

c)

(-∞, 7]

d)

(-1, 1)

e)

(-∞, 7)

20.
What is the range of the function?
a)
[-1, +∞)
b)
(-1,1)
c)
[1.5, +∞)
d)
(-2, 2)
21.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

22.
What is the domain of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ -1
d)
x ≥ 0
23.

3r + 7 = 10r + 28

a)

-3

b)

3

c)

5

d)

-5

24.

7x + 10 = 3x + 50

a)

9

b)

11

c)

10

d)

3

25.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
26.
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
27.
There are 50 donkeys and chickens on a farm.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
28.
Use substitution to solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
29.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
30.
Solve the following system by graphing.  What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
31.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
32.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
33.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
34.
Solve for the values of x:
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
35.

Solve for the values of x:

(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

36.

Solve and find your x-intercepts:

0=x(x - 6)

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

37.

Solve

(4a + 3)(4a - 3) = 0

a)

a = -3/4, 3/4

b)

a = -4/3, 4/3

c)

a = -9/16, 9/16

d)

a = -16/9, 16/9

38.
What are the solutions for:
x2+6x+8=0
a)
x=4 and x=2
b)
x=-8 and x=-1
c)
x=-4 and x=-2
39.
Solve the equation by factoring.
x2 + 13x + 40 = 0
a)
-8, 5
b)
-40, -1
c)
5, 8
d)
-8, -5
40.
Solve
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
41.
Solve by factoring.
b2 + 2b - 24 = 0
a)
x = 6 or x = -4
b)
x = -6 or x = -4
c)
x = 6 or x = 4
d)
x = -6 or x = 4
42.
Solve
8n2 + 10n - 3 = 0
a)
n = -1/8, 10/3
b)
n = 4/5, - 2
c)
n = 1/4, -3/2
d)
n = 2, -12
43.

 f(x)=x4−3x3−12x2+15x−34f\left(x\right)=x^4-3x^3-12x^2+15x-34  at x=5

a)

-9

b)

8

c)

-1

d)

6

44.

 f(x)=x4−x3−2x2−17x+25f\left(x\right)=x^4-x^3-2x^2-17x+25  at x=3

a)

6

b)

10

c)

-2

d)

9

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