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Worksheets

Quadratics

Total questions: 10

Worksheet time: 34mins

Name
Class
Date
1.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
2.
What are the x-intercept/s of the function? 
a)
{x|x = 3}
b)
{x|x =-3,3}
c)
(3, 0)
d)
(-3, 0)&(3, 0)
3.
True or false:
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
4.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
5.
What is the vertex form of this quadratic?
a)
f(x) = -(x - 2)+ 0
b)
f(x) = (x - 2)+ 0
c)
f(x) = -(x + 2)+ 0
d)
f(x) = (x + 2)+ 0
6.

What should you do first if you wanted to solve this equation using the quadratic formula?

2x2 + 6x - 14 = 8

a)

Divide everything by 2

b)

Write down: a=2, b=6, c=-14

c)

Subtract 8 from both sides

d)

Add 14 to both sides

7.
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
8.
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
9.
Solve for x: 
(x+6)2=49
a)
x=7,12
b)
x=±7
c)
x=1,-13
d)
x=43,-55
10.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3