Free Printable SOS #11 Practice

1.

Simplify

\frac{20x^3}{5x+10}

a)

$\frac{4x^3}{x+2}$

b)

$\frac{4x^3}{x+10}$

c)

$\frac{2x^3}{5x+10}$

d)

$\frac{2x^3}{x+5}$

2.

Simplify and state excluded values.

\frac{x+9}{x^2-81}

a)

$\frac{x-9}{x+9},\ x\ne-9,\ 9$

b)

$\frac{1}{x-9},\ x\ne-9,\ 9$

c)

$x+9,\ \ x\ne-9,\ 9$

d)

$\frac{1}{x+9},\ x\ne-9,\ 9$

3.

Simplify

\frac{x^2+11x+24}{x^2+4x-32}

a)

$\frac{x+7}{x-4}$

b)

$\frac{-3}{4}$

c)

$\frac{x+3}{x+4}$

d)

$\frac{x+3}{x-4}$

4.

Simplify and state excluded values.

\frac{7m+42}{m^2+3m-18}

a)

$\frac{m+6}{m-3},\ m\ne-6,\ 3$

b)

$\frac{7}{m-3},\ m\ne-6,\ 3$

c)

$7\left(m+6\right),\ m\ne-6,\ 3$

d)

(m-3) $m-3,\ m\ne-6,\ 3$

5.

$\frac{2}{x^2+12x+32}\div\frac{2}{5x}$

a)

$x-8$

b)

$7$

c)

$\frac{5x}{\left(x+8\right)\left(x+4\right)}$

d)

$\frac{x+3}{4\left(x+6\right)}$

6.

$\frac{1}{p-8}\cdot\frac{p^2+7p+10}{p+2}$

a)

$\frac{8}{3}$

b)

$\frac{p+5}{p-8}$

c)

$6p^2$

d)

$\frac{7}{p-8}$

7.

$\frac{r^2+9r+18}{r^2-36}\div\frac{r+8}{r-6}$

a)

$\frac{r+3}{r+8}$

b)

$\frac{4}{r}$

c)

$\frac{1}{r-7}$

d)

$7r$

8.

Simplify

a)

b)

c)

d)

9.

Solve

$\frac{x^2}{x-5}=\frac{25}{x-5}$

a)

$-5,5$

b)

$5$

c)

$-5$

d)

no solution

10.

Simplify

$\frac{6}{x-3}-\frac{1}{x+3}-\frac{-2x}{x^2-9}$

a)

$6$

b)

$\frac{5}{x+3}$

c)

$\frac{x^2+3}{x^2-9}$

d)

$\frac{7}{x-3}$

11.

Solve

$\frac{x}{x-1}+\frac{x}{x-4}=1$

a)

$-\sqrt{2},\sqrt{2}$

b)

$-4,4$

c)

$-2,2$

d)

$-3,3$

12.

Simplify

$\frac{2x^2+4x}{x^2-25}+\frac{1}{4}-\frac{2x}{x-5}$

a)

$\frac{\left(x+1\right)^2}{4\left(x^2-25\right)}$

b)

$\frac{\left(x-25\right)\left(x+1\right)}{4\left(x-5\right)\left(x+5\right)}$

c)

$\frac{x+1}{4}$

d)

$\frac{x+10}{4\left(x+5\right)}$

13.

Solve for x

a)

6

b)

17/5

c)

19/2

d)

- 6

14.

Solve for v

a)

- 7/6

b)

- 9/5

c)

9/5

d)

-3

15.

Solve for x

a)

5

b)

4/5

c)

1

d)

- 4

16.

Solve for n

a)

- 2, - 1

b)

- 5, - 1

c)

- 2

d)

- 2, - 2/3

17.

What are the asymptotes?

a)

x= -1 y = -3

b)

x=1 y = -3

c)

x= -1 y =3

d)

x=1, y=3

18.

What are the asymptotes?

a)

x=-3, y=1

b)

x=3, y =1

c)

x=-3, y =-1

d)

x=3 y=-1

19.

What is the horizontal asymptote to this function?

a)

y = 4

b)

y = 0

c)

y = -2

d)

y =1

20.

What is the horizontal asymptote?

a)

x = 2

b)

x = 7

c)

y = 2

d)

y = 7

21.

What is the vertical asymptote?

a)

x = 2

b)

x = 7

c)

x = -2

d)

x = 5

22.

What is the domain?

a)

x≠ -5,5

b)

x≠ -5,4

c)

x≠ -4,5

d)

x≠ -4,-5

23.

Solve and check your solution(s).

a)

x = 2, 3

b)

x = -2, -3

c)

x = -1, -6

d)

No solution

24.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

25.

Solve for x

a)

x=27

b)

x=-3

c)

x=81

d)

x=3

26.

Solve for x

a)

x=243 and x=-243

b)

x=9 and x=-9

c)

x=3 and x=-3

d)

x=-117.5 and x=125.5

27.

Solve for x:

a)

x = -7

b)

x = 7

c)

x = 7, x = -7

d)

no solution

28.

Solve for m

a)

m=2

b)

m=18

c)

m=2 and m=18

d)

m=-2 and m=-18

SOS #11 Practice

Total questions: 28

Worksheet time: 3570secs

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