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WorksheetsSolving Quadratics
Total questions: 25
Worksheet time: 2hrs 46mins
Name
Class
Date
1.
Solve
x2 + 2x - 24 = 0
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
2.
Solve
x2 + 9x + 20 = 0
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
3.
Solve
x2 + 7x + 12 = 0
x2 + 7x + 12 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
4.
Solve
6x2 + 17x + 12 = 0
6x2 + 17x + 12 = 0
a)
x = -4/3, x = -3/2
b)
x = 9, x = 8
c)
x = 4, x = 3
d)
x = -4, x = -3
5.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
6.
Solve by taking square roots:
k2 - 6 = 43
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
7.
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
8.
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
9.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
10.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
11.
How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
12.
What is name of the graph of a Quadratic Equation?
a)
Line
b)
Parbola
c)
U
d)
Parabola
13.
What is the degree of every Quadratic Equation?
a)
1
b)
2
c)
3
d)
4
14.
Use the Quadratic Formula to solve the Quadratic Equation.
x2 + 5x - 36
x2 + 5x - 36
a)
-9, 1
b)
-9, 4
c)
9, 4
d)
9, -4
15.
Use the Quadratic Formula to solve the Quadratic Equation.
x2 + 4x - 9
x2 + 4x - 9
a)
-2 ± √13
b)
-2 ± 2√7
c)
-2 ± √7
d)
-2 + √7
16.
Miked solved the equation x2 + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.
a)
(x + 4)2 = 14
b)
(x + 4)2 = 18
c)
(x + 4)2 = 30
d)
(x+ 4)2 = 30
17.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
18.
Find the vertex of
f(x) = -x2 - 4x + 12
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
19.
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
20.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
21.
What is the y-intercept of
f(x)=2x2 + 4x + 6
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
22.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3, -1}
b)
{4, -4}
c)
{5, -3}
d)
{8, -7}
23.
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
24.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
25.
Find the zeros of the equation:
(x+10)(x-2) = 0
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
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