WorksheetsQuadratics Practice
Total questions: 66
Worksheet time: 17hrs 30mins
Name
Class
Date
1.
Which graph represents a quadratic function?
a)
b)
c)
d)
2.
The graph of a quadratic function is called a
a)
line
b)
curve
c)
u
d)
parabola
3.
What is another word that describes the zeroes of a quadratic function?
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
4.
What is this?
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.
5.
Identify the a, b, and c values of the quadratic function in general form.
f(x) = 3x2 - 7x + 12
a)
a = 12, b = -7, and c = 3
b)
a = 3, b = -7, and c = 12
c)
a = -7, b = 3, and c = 12
d)
a = -3, b = 7, and c = 12
6.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
8.
Does the equation open up or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
9.
What is the vertex of this quadratic?
a)
(4,0)
b)
(0,0)
c)
(2,-4)
d)
(-4,2)
10.
Find the zeros of this quadratic.
a)
b=-2, b=-4
b)
b=-2, b=4
c)
b=1/2, b=-2
d)
b=2, b=-4
11.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
12.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
13.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
14.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
15.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
16.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
17.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
18.
Identify tha a in the quadratic equation.
f(x) = -2x2 + 4x - 6
a)
-2
b)
4
c)
-6
d)
none
19.
Identify tha b in the quadratic equation.
f(x) = -2x2 + 4x - 6
a)
-2
b)
4
c)
-6
d)
none
20.
Identify the c in the quadratic equation.
y = 5x2 - 20x + 13
a)
5
b)
20
c)
-20
d)
13
21.
What is the formula above primarily used for?
a)
Finding the axis of symmetry from standard form
b)
Finding the vertex from standard form
c)
Finding the vertex from vertex form
d)
Finding the vertex from standard form
22.
What is the range of this parabola?
a)
All real #'s
b)
y > -1
c)
y < -1
d)
x > -4
23.
What is the domain of this parabola?
a)
All real #'s
b)
y > -1
c)
y < -1
d)
x > -4
24.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
25.
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)
26.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
27.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
28.
Factor: 3x2- 6x - 24
a)
(3x - 8)(x + 3)
b)
(3x + 4)(x - 6)
c)
3(x - 2)(x + 4)
d)
3(x + 2)(x - 4)
29.
7x2 - 26x - 8 = 0
a)
x = -1 and x = -7/8
b)
x = 4 and x = -2/7
c)
x = -4 and x = 2/7
d)
x = 4 and x = -7/2
30.
-5x2 = -50
a)
± 5
b)
± 10
c)
± √10
d)
-10
31.
(x + 1) 2 = 25
a)
± 5
b)
4 or -6
c)
-4 or 6
d)
± 4
32.
Solve by taking square roots:
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
33.
Solve
(x+3)2-5 = 9
(x+3)2-5 = 9
a)
-3±√14
b)
3±√14
c)
±11
d)
±5
34.
Solve 14 - x² = 17
a)
x = ±1.73
b)
x = 3
c)
no solution
d)
x = -3
35.
Identify the 'a' value:
y = 16x2 - 8x - 24
y = 16x2 - 8x - 24
a)
16
b)
8
c)
-8
d)
-24
36.
Identify the 'b' value:
y = 16x2 - 8x - 24
y = 16x2 - 8x - 24
a)
16
b)
-8
c)
8
d)
-24
37.
Identify the 'c' value:
y = 16x2 - 8x - 24
y = 16x2 - 8x - 24
a)
16
b)
-8
c)
24
d)
-24
38.
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.
39.
What is the following called? b2- 4ac
a)
Axis of symmetry
b)
Quadratic Formula
c)
Vertex
d)
Discriminant
40.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
*remember right side should =0
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
*remember right side should =0
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
41.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make the equation equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
42.
Solve
2x2 + 7x - 15 = 0
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
43.
Solve for x. Round to the nearest hundredth if necessary.
3x2 = 16x + 12
3x2 = 16x + 12
a)
x = -.67, 6
b)
x = -6, .67
c)
x = 3.33, 18
d)
x = -3.33, 18
44.
Solve for x. Round to the nearest hundredth if necessary.
2x2 = -x + 3
2x2 = -x + 3
a)
x = -1, 1.5
b)
x = 1.5, -1
c)
x = 1, 1.5
d)
x = -1.5, 1
45.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
46.
Factor:
x2 + 5x - 24
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
47.
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)
48.
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)
49.
Factor:
x2 + 2x - 24
x2 + 2x - 24
a)
(x - 6)(x + 4)
b)
(x + 6)(x + 4)
c)
(x - 6)(x - 4)
d)
(x + 6)(x - 4)
50.
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)
51.
Factor:
x2 + 25x + 24
x2 + 25x + 24
a)
(x + 5)(x + 5)
b)
(x + 24)(x + 1)
c)
(x + 12)(x + 2)
d)
(x + 8)(x + 3)
52.
Factor:
x2 - 5x - 24
x2 - 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
53.
Factor:
x2 - 23x - 24
x2 - 23x - 24
a)
(x + 24)(x - 1)
b)
(x - 12)(x + 2)
c)
(x - 24)(x + 1)
d)
(x + 12)(x - 2)
54.
Factor:
x2 + 10x + 24
x2 + 10x + 24
a)
(x + 8)(x + 3)
b)
(x + 6)(x + 4)
c)
(x + 12)(x - 2)
d)
(x + 12)(x + 2)
55.
x2 = 16
a)
± 4
b)
± 8
c)
4
d)
8
56.
3x2 = 12
a)
± 2
b)
2
c)
± √12
d)
± 4
57.
-5x2 = -50
a)
± 5
b)
± 10
c)
± √10
d)
-10
58.
7x2 + 1 = 8
a)
± 1
b)
± 7
c)
± √7
d)
± 8
59.
x2 + 4 = 68
a)
± 8
b)
± √8
c)
8
d)
± 64
60.
(x - 2) 2 = 9
a)
± 3
b)
5 or -1
c)
-5 or 1
d)
± 9
61.
Write the question and show all work.
(x-5)2 = 25
(x-5)2 = 25
a)
±0
b)
±10
c)
10, 0
d)
-10, 0
62.
Write the question and show all work.4x2=100
a)
25
b)
±25
c)
5
d)
±5
63.
Determine the values of 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
64.
Use the quadratic formula to solve 2x2 + 2x - 12.
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
65.
Solve Using the Quadratic Formula
x2 + 4x - 40 = -8
x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
66.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter
y = x2 +5x +7, match each leading coefficient with its correct letter
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
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