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WorksheetsUnit 3 Test Review
Total questions: 40
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
For this graph, what is the value for "a" on the equation y = ax² + bx + c ?
a)
a = 1
b)
a = -1
c)
a = ½
d)
a = 2
2.
For this graph, what is the value for "c" on the equation y = ax² + bx + c ?
a)
c = 4
b)
c = -4
c)
c = 2
d)
c = -4.5
3.
For this graph, what is the vertex?
a)
(1, -4.5)
b)
(0, -4)
c)
(-1, -4.5)
d)
(-4, 0), (2, 0)
4.
For this graph, what is the y-intercept?
a)
(-4, 2)
b)
(0, -4)
c)
(-1, -4.5)
d)
(-4, 0), (2, 0)
5.
For this graph, what are the x-intercepts?
a)
(-4, 2)
b)
(0, -4)
c)
(-1, -4.5)
d)
(-4, 0), (2, 0)
6.
For this graph, what is the range?
a)
all real numbers
b)
(∞, -4.5)
c)
(-4.5, ∞)
d)
(-4.5, -∞)
7.
What form is this equation in?
y = -2(x - 3)(x + 7)
y = -2(x - 3)(x + 7)
a)
standard form
b)
intercept form
c)
vertex form
d)
slope-intercept form
8.
What form is this equation in?
y = 3(x + 5)² - 2
y = 3(x + 5)² - 2
a)
standard form
b)
intercept form
c)
vertex form
d)
slope-intercept form
9.
What form is this equation in?
y = ¼x² - 5x + 7
y = ¼x² - 5x + 7
a)
standard form
b)
intercept form
c)
vertex form
d)
slope-intercept form
10.
What are the x-intercepts for the graph of
y = ⅕(x + 7)(x - 4)
y = ⅕(x + 7)(x - 4)
a)
(-7, 0) and (4, 0)
b)
(7, 0) and (-4, 0)
c)
(-7, 4)
d)
(7, -4)
11.
What is the vertex for the graph of
y = ⅕(x + 7)(x - 3)
y = ⅕(x + 7)(x - 3)
a)
(0, -4.2)
b)
(2, -1.8)
c)
(-2, -5)
d)
(-7, 3)
12.
What is y-intercept for the graph of
y = ⅕(x + 7)(x - 3)
y = ⅕(x + 7)(x - 3)
a)
(0, -4.2)
b)
(0, 3)
c)
(-7, 3)
d)
(0, -7))
13.
What is the vertex for the graph of
y = -2(x - 4)² - 3
y = -2(x - 4)² - 3
a)
(-4, -3)
b)
(-2, -3)
c)
(4, -3)
d)
(0, -3)
14.
What is the y-intercept for the graph of
y = -2(x - 4)² - 3
y = -2(x - 4)² - 3
a)
(0, 13)
b)
(0, 2)
c)
(0, -35)
d)
(0, -3)
15.
What is the axis of symmetry for the graph of
y = -2(x - 4)² - 3
y = -2(x - 4)² - 3
a)
x = -2
b)
x = -3
c)
x = -4
d)
x = 4
16.
What is the axis of symmetry for the graph of
y = 2x² - 4x + 2
y = 2x² - 4x + 2
a)
x = 1
b)
x = 2
c)
x = -4
d)
x = -1
17.
What is the vertex for the graph of
y = 2x² - 4x + 2
y = 2x² - 4x + 2
a)
(1, 2)
b)
(2, 2)
c)
(1, 0)
d)
(-1, 8)
18.
What is the y-intercept for the graph of
y = 2x² - 4x + 2
y = 2x² - 4x + 2
a)
(0, 2)
b)
(0, -2)
c)
(2, 0)
d)
(0, -4)
19.
What is the standard form of the equation
y = (2x - 3)(x + 1)
y = (2x - 3)(x + 1)
a)
2x² -x - 3
b)
2x² -3x - 2
c)
2x² - 5x - 3
d)
2x² -2x - 3
20.
What is the standard form of the equation
y = -3(x + 2)² + 5
y = -3(x + 2)² + 5
a)
y = -3x² - 6x + 5
b)
y = -3x² -12x - 7
c)
y = -3x² - 12x + 5
d)
y = -3x² -12x - 12
21.
Which of the following is NOT a transformation of y = x² for the graph
y = -4(x + 3)² - 7
y = -4(x + 3)² - 7
a)
Reflected over the x-axis and stretched by a factor of 4
b)
Shift left 3 units
c)
Shift down 7 units
d)
Shift right 3 units
22.
How do you find the minimum or maximum value for a quadratic function?
a)
Find the roots
b)
Find the intercepts
c)
Find the axis of symmetry
d)
Find the vertex
23.
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height, h, in feet after t seconds is given by the function h = -16t² + 40t + 10. In how many seconds does the ball reach its maximum height? What is the ball's maximum height?
a)
1.25 s; 85 ft
b)
1.25 s; 40 ft
c)
1.25 s; 35 ft
d)
2.5 s; 10 ft
24.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
25.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
26.
a)
A
b)
B
c)
C
d)
D
27.
Solve 8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
28.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
29.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
Solve for the values of x:
(x + 2)(x - 3) = 0
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
33.
Solve for the values of x:
(2x - 1)(x + 4) = 0
(2x - 1)(x + 4) = 0
a)
{ 1/2, -4 }
b)
{ 1/2, 4 }
c)
{ 2, -4 }
d)
{ -2, 4 }
34.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
35.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
36.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
37.
Complete the Square
x2 + 10x + ____
x2 + 10x + ____
a)
x2 + 10x - 100
b)
x2 + 10x + 100
c)
x2 + 10x - 25
d)
x2 + 10x + 25
38.
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
39.
Classify the solutions to
4g2 + g - 2 = 0
4g2 + g - 2 = 0
a)
0 real solutions
b)
1 rational solution
c)
2 rational solutions
d)
2 irrational solutions
40.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
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