Free Printable QUIZ (WEEK 3&4 )

1.

Which of the following is not a rational function?

a)

$f\left(x\right)=\ \frac{x}{x+1}$

b)

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

c)

$f\left(x\right)=\frac{x}{x-2}$

d)

$2=\frac{x-2}{x+2}$

2.

Which of the following is a rational equation?

a)

$\frac{5X}{6}-\frac{1}{2}=\frac{1}{3}$

b)

$\frac{5}{X-2}=F\left(X\right)$

c)

$X-9\le\frac{X}{X+1}$

d)

$f\left(x\right)=x+2$

3.

Which of the following is a rational inequality?

a)

$\frac{5X}{6}-\frac{1}{2}=\frac{1}{3}$

b)

$\frac{5}{X-2}=F\left(X\right)$

c)

$X-9\le\frac{X}{X+1}$

d)

$f\left(x\right)=x+2$

4.

Solve for x:

\frac{x+6}{x-4}=\frac{1}{x+1}

a)

x = 4

b)

x= $\frac{-6\pm\sqrt{-4}}{2}$

c)

x = -4

d)

x = 5

5.

Solve :

\frac{4}{x+2}>2

a)

$-\frac{2x}{x+2}>0$

b)

$-\frac{2x}{x+2}<0$

c)

$-\frac{2x}{x+2}\ge0$

d)

$-\frac{2x}{x+2}\le0$

6.

$\frac{7}{3x}+\frac{4}{6x^2}=\frac{5}{8x}-\frac{2}{3x^2}$ Solve for x:

a)

$x=-\frac{32}{41}$

b)

$x=0\ or\ x=\ 14$

c)

$x=\frac{1}{2}$

d)

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

e)

[1,4)

7.

$\frac{x+3}{x-4}=\frac{x-5}{x+4}$ Solve for x:

a)

$x=-\frac{32}{41}$

b)

$x=0\ or\ x=\ 14$

c)

$x=\frac{1}{2}$

d)

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

e)

[1,4)

8.

$\frac{2x-3}{x+1}=\frac{x+6}{x-2}$ Solve for x:

a)

$x=-\frac{32}{41}$

b)

$x=0\ or\ x=\ 14$

c)

$x=\frac{1}{2}$

d)

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

e)

[1,4)

9.

$\frac{4}{x+2}>2$ Solve for x:

a)

$x=-\frac{32}{41}$

b)

$x=0\ or\ x=\ 14$

c)

$x=\frac{1}{2}$

d)

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

e)

[1,4)

10.

$\frac{3}{x-4}+1\le0$ Solve for x:

a)

$x=-\frac{32}{41}$

b)

$x=0\ or\ x=\ 14$

c)

$x=\frac{1}{2}$

d)

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

e)

[1,4)

11.

What is the domain, range and vertical asymptote of

f\left(x\right)=\frac{4x^2+1}{3x^2}

?

a)

$x\ne0,\ y\ne\frac{4}{3},\ va:\ x=0$

b)

$x\ne7,\ y\ne0,\ va:\ x=7$

c)

$x\in R\ except\ x=-2\ ;\ x=3,\ y\ \in R,\ va:\ x=-2\ ;\ x=3$

d)

$x\ne0,\ y\in R,\ va:\ x=0$

12.

What is the domain, range and vertical asymptote of

f\left(x\right)=\frac{4}{x-7}

?

a)

$x\ne0,\ y\ne\frac{4}{3},\ va:\ x=0$

b)

$x\ne7,\ y\ne0,\ va:\ x=7$

c)

$x\in R\ except\ x=-2\ ;\ x=3,\ y\ \in R,\ va:\ x=-2\ ;\ x=3$

d)

$x\ne0,\ y\in R,\ va:\ x=0$

13.

What is the domain, range and vertical asymptote of

f\left(x\right)=\frac{x}{x^2-x-6}

?

a)

$x\ne0,\ y\ne\frac{4}{3},\ va:\ x=0$

b)

$x\ne7,\ y\ne0,\ va:\ x=7$

c)

$x\in R\ except\ x=-2\ ;\ x=3,\ y\ \in R,\ va:\ x=-2\ ;\ x=3$

d)

$x\ne0,\ y\in R,\ va:\ x=0$

14.

What is the domain, range and vertical asymptote of

f\left(x\right)=\frac{x^3-1}{x^2}

?

a)

$x\ne0,\ y\ne\frac{4}{3},\ va:\ x=0$

b)

$x\ne7,\ y\ne0,\ va:\ x=7$

c)

$x\in R\ except\ x=-2\ ;\ x=3,\ y\ \in R,\ va:\ x=-2\ ;\ x=3$

d)

$x\ne0,\ y\in R,\ va:\ x=0$

15.

Find f ◦ g and g ◦ f for the given functions f and g.

1. f (x) = 3x+ 5 g (x) = 2x - 7

a)

$\left(f\circ g\right)\left(x\right)=6x-16;\ \left(g\ \circ\ f\right)\left(x\right)=6x+3$

b)

$\left(f\circ g\right)\left(x\right)=6x+16;\ \left(g\ \circ\ f\right)\left(x\right)=6x-3$

c)

$\left(f\circ g\right)\left(x\right)=6x-3;\ \left(g\ \circ\ f\right)\left(x\right)=6x+16$

d)

$\left(f\circ g\right)\left(x\right)=6x+3;\ \left(g\ \circ\ f\right)\left(x\right)=6x-16$

QUIZ (WEEK 3&4 )

Total questions: 15

Worksheet time: 2hrs 40mins

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