Worksheetsfactoring mix
Total questions: 32
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
3x2 - 7x - 6
a)
(3x+2)(x-3)
b)
(3x-2)(x+3)
c)
3(x-1)(x+2)
d)
3(x+1)(x-2)
2.
4x2-25x+25
a)
4(x-5)2
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(2x-5)2
3.
3x2 + 18x +15
a)
3(x+3)(x+2)
b)
(x+3)(x+2)
c)
3(x+5)(x+1)
d)
(x+5)(x+1)
4.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
5.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
6.
What is a letter that represents an unknown number?
a)
Vocabulary
b)
Variable
c)
Constant
d)
Coefficient
7.
Terms in a polynomial are separated by what?
a)
Parenthesis
b)
Multiply/Divide
c)
Constants
d)
Add/Subtract
8.
Simplify:
3x-5x
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
9.
Simplify:
5(2x+5)
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
10.
Simplify:
6(–4x – 2) – 2(x + 10)
6(–4x – 2) – 2(x + 10)
a)
–26x – 32
b)
–26x + 8
c)
–22x + 8
d)
–26x + 8
11.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
12.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
13.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
14.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
15.
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
16.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
17.
The formula
b2 - 4ac
is called the
b2 - 4ac
is called the
a)
quadratic formula
b)
factored form
c)
vertex formula
d)
the discriminant
18.
The discriminant finds the
a)
number of solutions
b)
x-intercepts
c)
y-value of vertex
d)
y-intercept
19.
If the discriminant is greater than zero, the equation has
a)
1 solution
b)
2 solutions
c)
no solutions
20.
If the discriminant is less than zero, the equation has
a)
1 solution
b)
2 solutions
c)
no solutions
21.
The equation
y = x2 -12x + 36 has
y = x2 -12x + 36 has
a)
1 solution
b)
2 solutions
c)
no solutions
22.
Find the roots of this equation
x2 + x - 6 = 0
x2 + x - 6 = 0
a)
4, -1
b)
3, -2
c)
-6, 1
d)
2, -3
23.
True or False
The discriminant is used to find the roots of a quadratic equation.
The discriminant is used to find the roots of a quadratic equation.
a)
True
b)
False
24.
Find the zeros:
(2x + 2)(5x – 5) = 0
(2x + 2)(5x – 5) = 0
a)
x = -1
b)
x = -1 & 1
c)
x = -2 & 5
d)
x = 1
25.
In the quadratic function x2 - 6x + c what value of c would make q(x) a perfect square trinomial?
a)
6
b)
3
c)
36
d)
9
26.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
27.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
28.
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
29.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
30.
When do you use the plus or minus symbol?
±
±
a)
After taking the square root of both sides
b)
After adding the square to both sides
c)
After taking half of b
d)
After setting the equation equal to zero
31.
What is one of the solutions to this equation?
(2x - 1)2 = 49
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
32.
How many methods are there for finding the roots of a quadratic?
a)
1
b)
2
c)
3
d)
4
100 %
