Free Printable Precal Spiral Review #2

1.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

2.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

3.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

4.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

5.

Solve for the determinant of the following matrix:
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc

a)

198

b)

162

c)

-333

d)

-9

6.

Calculate the determinant

a)

0

b)

-15

c)

-70

d)

10

7.

Simplify the expression.

$\frac{\frac{r^2}{6}+\frac{r}{2}}{\frac{r+3}{12}}$

a)

$\frac{1}{2r}$

b)

$\frac{r+3}{6}$

c)

$2r$

d)

$\frac{r}{6}$

8.

Find the vertical asymptote(s), if any, of the graph of the rational function.

$\frac{x+6}{x^2-36}$

9.

Add or subtract as indicated.

$\frac{4}{x^2-3x+2}+\frac{5}{x^2-1}$

a)

$\frac{9x-6}{\left(x-1\right)\left(x-2\right)}$

b)

$\frac{40x-6}{\left(x-1\right)\left(x+1\right)\left(x-2\right)}$

c)

$\frac{9x-6}{\left(x-1\right)\left(x+1\right)\left(x-2\right)}$

d)

$\frac{6x-9}{\left(x-1\right)\left(x+1\right)\left(x-2\right)}$

10.

Find the horizontal asymptote for the function.

$f\left(x\right)=\frac{2x^2-18}{x+3}$

a)

x= -3

b)

y= 0

c)

y= -3

d)

None

11.

Find the hole, if there is one, for the function.

$f\left(x\right)=\frac{2x^2-18}{x+3}$

a)

(-3, -12)

b)

(-3, 0)

c)

(3, 0)

d)

None

12.

Multiply or divide as indicated.

$\frac{2c^2-5c-3}{c^2+4c-21}\div\left(2c+1\right)$

a)

$\frac{2c+1}{c+7}$

b)

$c+7$

c)

$\frac{1}{c+7}$

d)

$\frac{c+3}{\left(c+7\right)\left(c-3\right)}$

13.

What is the quotient in lowest terms?

$\frac{x^2-16}{x-2}\div\frac{x^2+3x-4}{x-8}$

Hint: You may leave your answer in factored form.

14.

a)

a

b)

b

c)

c

d)

d

15.

Simplify the expression.

a)

b)

c)

d)

16.

a)

b)

c)

d)

17.

a)

b)

c)

d)

18.

a)

A.

b)

B.

c)

C.

d)

D.

19.

Add and simplify if possible

$\frac{2x}{x^2-36}+\frac{x+4}{x+6}$

20.

Simplify the expression.

a)

b)

c)

d)

Precal Spiral Review #2

Total questions: 20

Worksheet time: 2hrs 16mins

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