WorksheetsQuadratic Functions - STAAR Review
Total questions: 64
Worksheet time: 3hrs 10mins
Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
Find the axis of symmetry for
f(x) = x2 - 8x + 15.
*Hint: Graph it.
f(x) = x2 - 8x + 15.
*Hint: Graph it.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
3.
Find the vertex of
f(x) = -x2 - 4x + 12.
*Hint: Graph it.
f(x) = -x2 - 4x + 12.
*Hint: Graph it.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
4.
Find the y-intercept of
f(x) = 2x2-2x + 1
*Hint: x=0 or graph
f(x) = 2x2-2x + 1
*Hint: x=0 or graph
a)
2
b)
-2
c)
1
d)
-1
5.
Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts
*Hint: Solutions = roots = zeros = x-intercepts
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
6.
Does
y = -4x2
have a maximum or minimum value?
*Hint: Does the graph look like a hill or a valley?
y = -4x2
have a maximum or minimum value?
*Hint: Does the graph look like a hill or a valley?
a)
maximum
b)
minimum
7.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
8.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
9.
Quadratic equations take the shape of a _______ when graphed.
a)
U
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
10.
Does this graph in the back have maximum or minimum value?
*Hint: Hill or valley?
*Hint: Hill or valley?
a)
maximum
b)
minimum
c)
neither
d)
both
11.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
12.
What is the axis of symmetry of
y=3x2-6x+4?
*Hint: x=-b/2a
y=3x2-6x+4?
*Hint: x=-b/2a
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
13.
Given:
y = 2(x - 5)2 + 6
the vertex is:
*Hint:
f(x) = a(x-h)2 + k
is vertex form, where (h,k) is the vertex.
y = 2(x - 5)2 + 6
the vertex is:
*Hint:
f(x) = a(x-h)2 + k
is vertex form, where (h,k) is the vertex.
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
14.
Given:
y = 3(x - 8)2 + 4
the vertex is
y = 3(x - 8)2 + 4
the vertex is
a)
(4,-8)
b)
(-8,4)
c)
(8, 4)
d)
(-4,8)
15.
Given:
y = 7(x + 2)2 - 11
the vertex is
y = 7(x + 2)2 - 11
the vertex is
a)
(-2, -11)
b)
(2, 11)
c)
(2, -11)
d)
(-2, 11)
16.
Given:
y = 8(x + 5)2 + 9
the vertex is
y = 8(x + 5)2 + 9
the vertex is
a)
(9,-5)
b)
(-5,9)
c)
(9,5)
d)
(5,-9)
17.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)
18.
Does the equation have a maximum or a minimum?
y = 2x2 + 7x + 5
y = 2x2 + 7x + 5
a)
max
b)
min
19.
Does the equation open or or down?
y = -3x2 +7x - 2
y = -3x2 +7x - 2
a)
up
b)
down
20.
Determine the line of symmetry.
y = x2+16x+64
y = x2+16x+64
a)
x=4
b)
x=2
c)
x=-8
d)
x=64
21.
What is the axis of symmetry of
y=2x2-4x+9?
y=2x2-4x+9?
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
22.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
23.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
24.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
25.
The point in which a graph hits the x-axis is know as the _____
a)
Solution
b)
x-intercept
c)
Root
d)
All answers are correct
26.
What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.
*Hint: Domain is the set of all x-values included in the function.
a)
x≥3
b)
x≤3
c)
All real numbers
d)
-1≤x≤5
27.
What is the range of the function?
*Hint: Range is all of the y-values included in the function.
*Hint: Range is all of the y-values included in the function.
a)
y≤3
b)
y≥3
c)
All real numbers
d)
-6≤y≤3
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.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
30.
What equation matches the following graph?
a)
y=-x2-8x+6
b)
y=x2-8x+6
c)
y=x2+8x-6
d)
y=x2-8x+11
31.
What equation matches the following graph?
a)
y=-2x2-4x-3
b)
y=2x2-4x-3
c)
y=-2x2-4x+3
d)
y=2x2-4x-6
32.
What can we find easily in standard form?
a)
vertex
b)
zeros/roots/x-intercepts
c)
y-intercept
33.
What can we find easily in factored form?
a)
y-intercept
b)
vertex
c)
zeros/roots/x-intercepts
34.
What can we find easily in vertex form?
a)
vertex
b)
y-intercept
c)
zeros/roots/x-intercepts
35.
Where can the equations for standard form, vertex form, the quadratic formula, and the axis of symmetry be found?
a)
STAAR Algebra I Reference Materials
b)
The Bible
36.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
37.
29 x 2-3
a)
2-6
b)
227
c)
2-27
d)
26
38.
The area of a rectangle is 36x6y4 square units. What is the length if the width is 9x2y3?
a)
27x3y4/3
b)
27x4y
c)
4x8y7
d)
4x4y
39.
The length of a rectangle is 4a4b5 and the width is 3a2b3, what is the area of the rectangle?
a)
12a6b8
b)
7a6b8
c)
12a8b15
d)
1a2b2
40.
Multiply
2(x+1).
2(x+1).
a)
x2+2x
b)
2x+1
c)
2x+2
d)
2x2+2
41.
Multiply
(x-2)(x-5)
(x-2)(x-5)
a)
x2+7x+10
b)
2x2-7x+10
c)
x2-7x+10
d)
x2+7x-10
42.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
43.
Factor the following quadratic trinomial:
x2+9x+14
x2+9x+14
a)
(x+9)(x+14)
b)
(x+7)(x-2)
c)
(x+7)(x+2)
d)
(x+1)(x+14)
44.
Factor the following quadratic trinomial:
x2-6x+8
x2-6x+8
a)
(x-4)(x-2)
b)
(x+4)(x+2)
c)
(x-4)(x+2)
d)
(x+4)(x-2)
45.
Domain is _. Range is _.
a)
x; y
b)
y; x
46.
Is this relation also a function?
{(1, 2), (2, 4), (3, 4), (4, 5)}
{(1, 2), (2, 4), (3, 4), (4, 5)}
a)
Yes
b)
No
47.
Solve for n:
PV=nRT
PV=nRT
a)
n=PV-RT
b)
n=RT/PV
c)
n=PVRT
d)
n=PV/RT
48.
Combine like terms:
9x+3-2x+1
9x+3-2x+1
a)
7x+4
b)
11x+4
c)
There are no like terms.
d)
11x+1
49.
Given a function f(x), f(x)+3 is shifted
a)
3 units up
b)
3 units down
c)
3 units left
d)
3 units right
50.
Given a function f(x), f(x+3) is shifted
a)
3 units up
b)
3 units down
c)
3 units left
d)
3 units right
51.
What is the slope of the line
4x-2y=14?
4x-2y=14?
a)
m=2
b)
m=4
c)
m=-2
d)
m=-7
52.
A bound book costs $2.50. The book is $2.00 more expensive than the binding. How much does the binding cost?
a)
$0.50
b)
$1
c)
$1.5
d)
$0.25
53.
Some horses were grazing in a meadow under the control of the shepherds. When counting all the legs in the meadow, the number was 82 feet. When counting all the heads –horses’ and humans’-, the number was 26. How many shepherds were in the meadow?
a)
11 Shepards
b)
14 Shepards
c)
15 Shepads
d)
10 Shepards
54.
A conundrum enthusiast was asked how old he was. The reply was quite ingenious. "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." Well, how old was he?
a)
20
b)
16
c)
18
d)
24
55.
A team of six carpenters and a joiner undertook to perform a job. Each carpenter earned $20, but the joiner got $3 more than the average earnings of all the seven team members. How much did the joiner earn?
a)
$23
b)
$23.5
c)
$22.5
d)
$24
56.
Simplify.
√125
√125
a)
5
b)
5√25
c)
5√5
d)
5√125
57.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
58.
What is the slope of this line?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
59.
Add
(2x2+3x+6)+(-4x2+2x-2)
(2x2+3x+6)+(-4x2+2x-2)
a)
-6x2+5x-4
b)
-2x2+5x+4
c)
6x2-5x+8
d)
2x2-5x-4
60.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
a)
75
b)
76
c)
67
d)
77
61.
a)
A
b)
B
c)
C
d)
D
62.
a)
A
b)
B
c)
C
d)
D
63.
What is the correct way to factor the following difference of squares?
a2-b2
a2-b2
a)
(a+b)(a-b)
b)
(a-b)(a-b)
c)
(a+b)(a+b)
64.
Factor completely:
81x2-1
*Hint: Difference of squares
81x2-1
*Hint: Difference of squares
a)
(9x+1)(9x-1)
b)
(9x+1)(9x+1)
c)
(9x-1)(9x-1)
d)
(81x)(x-1)
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