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Worksheets

Factoring and Solving Equations

Total questions: 15

Worksheet time: 2hrs 49mins

Name
Class
Date
1.
Solve:
2(4x-3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
2.
Find the rate of change
a)
2 dollars per ticket
b)
1/2 dollar per ticket
c)
-1/2 dollar per ticket
d)
-2 dollars per ticket
3.
Solve for y:
7x+ 2y = 20
a)
y= 7/2x + 10
b)
y=-7/2x + 10
c)
y=2/7 x- 10
d)
y= -2/7x + 10
4.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
5.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
6.
Solve the following system by graphing.  What is the solution?
a)
(3, -1)
b)
(-1, -3)
c)
(-1, -1)
d)
(-1, 3)
7.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
8.
a)
b)
c)
d)
9.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
10.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
11.

Does this graph have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

12.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
13.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
14.

f(x) = x-5 find f(-2)

a)

-7

b)

3

c)

7

d)

-3

15.

Simplify the radical:
180\sqrt{180}  

a)

565\sqrt{6}  

b)

555\sqrt{5}  

c)

13513\sqrt{5}  

d)

656\sqrt{5}