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WorksheetsChapter 9 Review
Total questions: 32
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
2.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
3.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
4.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
5.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
6.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry
d)
Vertex Form
7.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
8.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
9.
Solve by taking the square root.
a)
{49,-49}
b)
{8,-8}
c)
{7,-7}
d)
No Solution
10.
a)
{12.88,-12.88}
b)
{13.22,-13.22}
c)
{16}
d)
No Solution
11.
Solve using square roots.
a)
±81
b)
±9
c)
±3
d)
No real solution
12.
Convert x2 - 9x + 20 to factored form and solve.
a)
(x-10)(x+2); x = -2, 10
b)
(x+4)(x+5); x = -5, -4
c)
(x-4)(x-5); x = 4, 5
d)
Not factorable
13.
Factor 6x2-27x
a)
(6x+1)(x+3)
b)
3x(2x-9)
c)
6x(x-9)
d)
(3x-9)(2x+3)
14.
Factor x2 + 6x + 9 and solve for x.
a)
(x+3)(x+3); x = -3
b)
(x+4)(x+5); x=-4, -5
c)
(x-3)(x-3); x=3
d)
Not factorable
15.
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
16.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
17.
Solve using the quadratic formula: 3k2-3k-4=0
a)
-1.76, 0.76
b)
-0.9, 0.28
c)
-0.76, 1.76
d)
-0.71, 0.09
18.
Solve using the quadratic formula: -8k2-k+2=0
a)
-0.57, 0.44
b)
-0.61, 0.47
c)
-4, 4
d)
-2, 2
19.
Solve using the quadratic formula: 2k2-18=0
a)
-4.24,4.24
b)
-1, 3
c)
-3, 3
d)
-1, 5
20.
Identify the following function.
a)
Linear
b)
Exponential
c)
Quadratic
d)
Neither
21.
Identify the following function.
a)
Linear
b)
Exponential
c)
Quadratic
d)
Neither
22.
Given the table, determine the equation of the function.
a)
y = 4(4)x
b)
y = 4(¼)x
c)
y = 4(x-0)2 + 4
d)
y = 2(x-1)2 + 16
23.
Given the table, determine the equation of the function.
a)
y = 4x + 1
b)
y = 1x + 4
c)
y = -4x + 1
d)
y = -1x + 4
24.
Given the table, determine the equation of the function.
a)
y = 2(½)x
b)
y = 2x + 3
c)
y = -3x + 2
d)
y = 3(2)x
25.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
26.
Find the solution.
a)
(4,2) and (0,9)
b)
(-4,-1) and (2,5)
c)
(5,3) and (5,2)
d)
(-4,2) and (5,9)
27.
Find the solution.
a)
(6,4) and (3,1)
b)
(-2,7) and (5,2)
c)
(5,4) and(-2,-5)
d)
(1,-1) and (4,2)
28.
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
29.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
(0, 2)
b)
(0, -2)
c)
(0, 1)
d)
(0, -1)
30.
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
31.
What is "b" in the equation 3x2 −7 = 0 ?
a)
3
b)
7
c)
0
d)
10
32.
Solve using the quadratic formula: 2k2-k+18=0
a)
-4.24,4.24
b)
-1, 3
c)
no real solution
d)
-1, 5
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