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WorksheetsAlgebra 2 Finals Review
Total questions: 39
Worksheet time: 55mins
Name
Class
Date
1.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
2.
Which equation has a vertex of (-3, 4)?
a)
y = 2(x+3)2 + 4
b)
y = (x+3)2 - 4
c)
y = (x-3)2 + 4
d)
y = 2(x - 3)2 + 4
3.
What is the y-intercept of
f(x)=2x2 + 4x + 6
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
4.
Write y = x2 + 4x - 1 in vertex form.
a)
y = (x - 2)2 + 5
b)
y = (x + 2)2 - 5
c)
y = (x + 2)2 - 1
d)
y = (x +2)2 + 3
5.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
6.
What are the x-intercepts of the parabola?
y = x(x - 4)
y = x(x - 4)
a)
0 and 4
b)
1 and 4
c)
2
d)
1 and -4
7.
What is the x-coordinate of the vertex of the parabola?
y = (x - 5)(x - 7)
y = (x - 5)(x - 7)
a)
6
b)
5
c)
7
d)
-5
8.
What is the axis of symmetry?
f(x) = (2x + 6)(x - 3)
f(x) = (2x + 6)(x - 3)
a)
x = 0
b)
x = 3
c)
x = -6
d)
x = -3
9.
Factor.
4x2 + 20x + 25
4x2 + 20x + 25
a)
(2x – 5)(2x – 5)
b)
(4x + 5)(1x + 5)
c)
(2x + 5)(2x + 5)
d)
(2x + 5)(2x – 5)
10.
Distribute.
(3x + 4)(3x – 4)
(3x + 4)(3x – 4)
a)
9x2– 16
b)
9x2 + 12x – 16
c)
9x2+ 24x – 16
d)
9x2+ 16
11.
Distribute.
(x – 7)2
(x – 7)2
a)
x2– 49
b)
x2+ 14x + 49
c)
x2+ 49
d)
x2– 14x + 49
12.
Factor out the GCF.
5x + 35
5x + 35
a)
5
b)
(x + 7)
c)
5(x + 7)
d)
5(x + 30)
13.
State the y - intercept of the following:
y = (x+4)(x+2)
y = (x+4)(x+2)
a)
10
b)
4
c)
6
d)
8
14.
Convert y = (x-5)2 -1
to factored form.
to factored form.
a)
y= (x-4)(x-6)
b)
y= (4x-2)(x+6)
c)
y= (x-12)(x+3)
d)
y = (x-4)(x+6)
15.
What are two solutions to the polynomial:
x2+14x=0
x2+14x=0
a)
x=0, x= 14
b)
x=-14
c)
x= 1, x =10
d)
x= -14, x = 0
16.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
17.
simplify (3 - 2i)(4 + 2i)
a)
16 - 2i
b)
16 + 2i
c)
12 - 2i - 4i2
d)
14i
18.
what is i4 ?
a)
i
b)
1
c)
-i
d)
-1
19.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
20.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
21.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
22.
Solve by elimination
-12x-10y= 0
6x+5y= -1
-12x-10y= 0
6x+5y= -1
a)
infinite solutions
b)
(0,0)
c)
no solution
d)
(2,1)
23.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
24.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
25.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
26.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
27.
What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).
y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = 3x -15
28.
Write the equation of the line that passes through the point (3,-3) and is perpendicular to the line 2x + 10y = 20.
a)
y= -(1/5)x - 7
b)
y = 5x + 7
c)
y= -(1/5)x + 7
d)
y = 5x - 7
29.
| 2x + 12 | < 8
Which is the correct first step?
Which is the correct first step?
a)
2x + 12 < 8 and 2x+12 >-8
b)
2x + 12 < 8 or 2x+12 >-8
c)
2x + 12 < 8 and 2x+12 <-8
d)
2x + 12 < 8 or 2x+12 >-8
30.
| 3x - 9 | < 3
a)
x < - 10 or x > - 2
b)
-10 < x < - 2
c)
x < 2 or x > 4
d)
2 < x < 4
31.
Evaluate if a = -1, b = -8, and c = -5
a)
13
b)
-13
c)
17
d)
-17
32.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
33.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
34.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
35.
Classify the solutions to
25g2 - 10g + 1 = 0
25g2 - 10g + 1 = 0
a)
0 real solutions
b)
1 rational solution
c)
2 rational solutions
d)
2 irrational solutions
36.
How many x-intercepts does the parabola have?
y = 3x2 - 2x + 1
y = 3x2 - 2x + 1
a)
0
b)
1
c)
2
d)
3
37.
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?
Which system best represents the situation?
a)
4x + 7y = 578
x + y = 3365
x + y = 3365
b)
4x + 7y = 3365
x + y = 578
x + y = 578
c)
4y + 7x = 578
x + y = 3365
x + y = 3365
d)
4y + 7x = 3365
x + y = 578
x + y = 578
38.
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
a)
x + y = 1430
20x + 50y = 49
20x + 50y = 49
b)
x + y = 49
10x + 5y = 1430
10x + 5y = 1430
c)
x + y = 49
20x + 50y = 1430
20x + 50y = 1430
d)
x + y = 49
x + y = 1430
x + y = 1430
39.
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
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
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