WorksheetsQuadratics Lessons 4-1, 4-2, and 4-4 Part 1
Total questions: 65
Worksheet time: 3hrs 16mins
Name
Class
Date
1.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
2.
Factor:
x2 - 10x + 24
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
3.
Factor:
x2 - 10x - 24
x2 - 10x - 24
a)
(x + 12)(x - 2)
b)
(x - 6)(x - 4)
c)
(x - 12)(x + 2)
d)
(x +6)(x - 4)
4.
Factor:
x2 - 14x + 24
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
5.
Factor x2 + 9x + 20
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
6.
Factor x2 + 12x + 20
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
7.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
8.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
9.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
10.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
11.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
12.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
13.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
14.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
15.
What is the factored form of x2-10x+24
a)
(x-4)(x-6)
b)
(x-12)(x+2)
c)
(x-8)(x-3)
d)
(x+24)(x-1)
16.
Factor completely
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
17.
Factor completely
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
18.
Factor completely
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
19.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
20.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
21.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
22.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
23.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
24.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
25.
Factor
n2-18n+40
a)
(n-2)(n-20)
b)
(n+2)(n-20)
c)
(n-20)(n+2)
d)
Prime
26.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
27.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
28.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
29.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
30.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
31.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
32.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
33.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
34.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
35.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
36.
What is the formula to find the vertex of a parabola?
a)
x = -b/2
b)
x = -b
c)
x = -b / (2a)
d)
x = -b / 2
37.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
38.
What form is this?
f(x)= 2(x+3)2 - 4
f(x)= 2(x+3)2 - 4
a)
factored form
b)
Standard Form
c)
Vertex Form
d)
Parabola
39.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
40.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
41.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
42.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
Range: y ≤ -3
43.
Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?
a)
f(x)= -(x-4)2+7
b)
f(x)= (x+4)2+7
c)
f(x)= -(x+4)2+7
d)
f(x)= (x-4)2+7
44.
What is the range for the function below?
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
45.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
46.
What is the range of this function?
a)
-4 ≤ y ≤ 5
b)
-1 ≤ x ≤ 3
c)
All Real Numbers
d)
y ≥ -4
47.
What is the domain of the function?
a)
All Real Numbers
b)
-3 ≤ x ≤ 1
c)
y ≥ 4
d)
y ≤ 4
48.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x = 5
b)
x=1
c)
y = 1
d)
y = 5
49.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
50.
What is the range of this function?
a)
All real numbers.
b)
All real numbers greater than or equal to 0.
c)
All real numbers greater than or equal to -2.
d)
All real numbers greater than or equal to 2.
51.
What is the maximum value of the function shown?
a)
4
b)
3
c)
1
d)
-3
52.
Determine the interval in which this function is INCREASING.
a)
(-4, ∞)
b)
(-3, ∞)
c)
(∞, -3)
d)
(-∞, -4)
53.
Determine the interval in which this function is DECREASING.
a)
(-3, ∞)
b)
(-3, ∞)
c)
(-∞, -4)
d)
(-∞, -3)
54.
Determine the interval of this function's DOMAIN.
a)
(-5, -1)
b)
(-∞, ∞)
c)
No solution
d)
(-∞, -3)
55.
Determine the interval of this function's RANGE.
a)
(-4, ∞)
b)
(-3, ∞)
c)
No solution
d)
(-∞, -4)
56.
Determine the interval in which this function is INCREASING.
a)
(-∞, 2)
b)
(2, ∞)
c)
(2, -∞)
d)
(-∞, 1)
57.
Determine the interval in which this function is DECREASING.
a)
(-∞, 2)
b)
(2, ∞)
c)
(2, -∞)
d)
(-∞, 1)
58.
Determine the interval of this functions DOMAIN.
a)
(-∞, 2)
b)
No Solution
c)
(-∞, ∞)
d)
(-∞, 1)
59.
Determine the interval of this functions RANGE.
a)
(-∞, 2)
b)
No Solution
c)
(-∞, ∞)
d)
(-∞, 1)
60.
What is the vertex of this quadratic equation?
y = 2(x - 2)2 + 5
y = 2(x - 2)2 + 5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
61.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
62.
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
63.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
64.
What is the vertex of the function y=(x+2)2-7?
a)
(-2, -7)
b)
(-2, 7)
c)
(2, 7)
d)
(2, -7)
65.
What is the y-intercept of the function y=-2x2+8x-6?
a)
(0, 8)
b)
(0, -6)
c)
(0, 2)
d)
(0, 0)
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