Free Printable Factoring, solving, intervals and evaluating

1.

Factor

x^2-6x+8

a)

$\left(x+2\right)\left(x-4\right)$

b)

$\left(x-2\right)\left(x-4\right)$

c)

$\left(x-2\right)\left(x+4\right)$

d)

$\left(x+2\right)\left(x+4\right)$

2.

Find all solutions to

x^2-16=9

a)

$x=-5$

b)

$x=5$

c)

$x=\pm5$

d)

$x=\pi$

3.

Fun fact:

How much does the average cloud weigh?

a)

-100 pounds

b)

100 pounds

c)

1,100 pounds

d)

1,100,000 pounds

4.

Find all solutions to

x^2+8x-20=0

a)

$x=-10,-2$

b)

$x=-10,\ 2$

c)

$x=10,-\ 2$

d)

$x=10,\ 2$

5.

Which notation is equivalent to

-3<x\le7

a)

$\left[-3,7\right]$

b)

$\left(-3,7\right]$

c)

$\left(-3,\ 7\right)$

d)

$\left[-3,7\right)$

6.

Fun fact:

The average human head weighs

a)

6 pounds

b)

8 pounds

c)

11 pounds

d)

14 pounds

7.

If $f\left(x\right)=x^2+2x+8$ , then evaluate $f\left(3\right)$ .

a)

19

b)

20

c)

23

d)

41

8.

Which notation is equivalent to
$\left(-\infty,\ 4\right)\ \cup\left[11,\infty\right)$

a)

$x<4\ and\ x>11$

b)

$x<4\ and\ x\ge11$

c)

$x\le4\ and\ x>11$

d)

$x\le4\ and\ x\ge11$

9.

The total number of people to have ever lived on Earth is estimated to be about

a)

10 billion

b)

100 billion

c)

1 trillion

d)

10 trillion

10.

$2a^2+11a=21$

Find all solutions to

a)

$a=\frac{3}{2},7$

b)

$a=-\frac{3}{2},\ 7$

c)

$a=-\frac{3}{2},-7$

d)

$a=\frac{3}{2},-7$

11.

For the piecewise graph shown, what is

f\left(2\right)+f\left(-2\right)

a)

8

b)

10

c)

12

d)

14

12.

Central High School was founded as Omaha High in what year?

a)

1866

b)

1889

c)

1900

d)

1912

13.

Which notation below is equivalent to
$x\ne0\ and\ x\ne2$ ?

a)

$\left(-\infty,\ 0\right)\cup\left[0,2\right]\cup\left(2,\infty\right)$

b)

$\left(-\infty,\ 0\right)\cup\left(0,2\right]\cup\left(2,\infty\right)$

c)

$\left(-\infty,\ 0\right)\cup\left(0,2\right)\cup\left(2,\infty\right)$

d)

$\left(-\infty,\ 0\right)\cup\left[0,2\right)\cup\left(2,\infty\right)$

14.

If
$h\left(x\right)=x^2+4x$ ,
then for what values of x does
$h\left(x\right)=-4$ ?

a)

$x=2$

b)

$x=-2$

c)

$x=2,\ -2$

d)

No Solution

15.

Fun Fact:

Pasta was first eaten in

a)

America

b)

Italy

c)

China

d)

Madagascar

Factoring, solving, intervals and evaluating

Total questions: 15

Worksheet time: 23mins

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