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M8 - AddSub RatExp FormQuiz

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

xx+2+4xx2\frac{x}{x+2}+\frac{4x}{x-2}  

a)

5x2+6x(x+2)(x2)\frac{5x^2+6x}{\left(x+2\right)\left(x-2\right)}  

b)

5x+6(x+2)(x2)\frac{5x+6}{\left(x+2\right)\left(x-2\right)}  

c)

5x2+6(x+2)(x2)\frac{5x^2+6}{\left(x+2\right)\left(x-2\right)}  

d)

4x2+10x(x+2)(x2)\frac{4x^2+10x}{\left(x+2\right)\left(x-2\right)}  

2.

13x25\frac{1}{3x}-\frac{2}{5}  

a)

6x+55(3x)\frac{6x+5}{5\left(3x\right)}  

b)

6x+5(3x)\frac{-6x+5}{\left(3x\right)}  

c)

x+55(3x)\frac{-x+5}{5\left(3x\right)}  

d)

6x+55(3x)\frac{-6x+5}{5\left(3x\right)}  

3.

3x312x2+5x24\frac{3}{x-3}-\frac{12}{x^2+5x-24}  

a)

3x+24(x+8)(x3)\frac{3x+24}{\left(x+8\right)\left(x-3\right)}  

b)

3x+12(x+8)(x3)\frac{3x+12}{\left(x+8\right)\left(x-3\right)}  

c)

3x8(x+8)(x3)\frac{3x-8}{\left(x+8\right)\left(x-3\right)}  

d)

3x12(x2+5x24)(x3)\frac{3x-12}{\left(x^2+5x-24\right)\left(x-3\right)}  

4.
Find the least common denominator of the expression
a)
18
b)
6x
c)
3xy
d)
6xy
5.

3xx2252x5\frac{3x}{x^2-25}-\frac{2}{x-5}  

a)

3x10(x+5)(x5)\frac{3x-10}{\left(x+5\right)\left(x-5\right)}  

b)

3x2(x+5)(x5)\frac{3x-2}{\left(x+5\right)\left(x-5\right)}  

c)

x10(x+5)(x5)\frac{x-10}{\left(x+5\right)\left(x-5\right)}  

d)

3x22x+10(x+5)(x5)\frac{3x^2-2x+10}{\left(x+5\right)\left(x-5\right)}  

6.

x+1x2+6x+8+3xx+2\frac{x+1}{x^2+6x+8}+\frac{3x}{x+2}  

a)

x2+12x+1(x+4)(x+2)\frac{x^2+12x+1}{\left(x+4\right)\left(x+2\right)}  

b)

3x2+11x+1(x+4)(x+2)\frac{3x^2+11x+1}{\left(x+4\right)\left(x+2\right)}  

c)

3x2+12x+1(x+4)(x+2)\frac{3x^2+12x+1}{\left(x+4\right)\left(x+2\right)}  

d)

3x2+13x+1(x+4)(x+2)\frac{3x^2+13x+1}{\left(x+4\right)\left(x+2\right)}  

7.

2xx+23x1\frac{2x}{x+2}-\frac{3}{x-1}  

a)

x26x5(x1)(x+2)\frac{x^2-6x-5}{\left(x-1\right)\left(x+2\right)}  

b)

2x25x6(x1)(x+2)\frac{2x^2-5x-6}{\left(x-1\right)\left(x+2\right)}  

c)

2x26x5(x1)(x+2)\frac{2x^2-6x-5}{\left(x-1\right)\left(x+2\right)}  

d)

2x26x10(x1)(x+2)\frac{2x^2-6x-10}{\left(x-1\right)\left(x+2\right)}  

8.

What is the LCD?  xx33xx2 What\ is\ the\ LCD?\ \ \frac{x}{x-3}-\frac{3x}{x-2}\  

a)

x3x-3  

b)

x2+6x^2+6  

c)

(x3)(x2)\left(x-3\right)\left(x-2\right)  

d)

x26x^2-6  

9.

What is the LCD? 5x+31x2x12What\ is\ the\ LCD?\ \frac{5}{x+3}-\frac{1}{x^2-x-12}  

a)

(x+3)(x+4)\left(x+3\right)\left(x+4\right)  

b)

(x3)(x4)\left(x-3\right)\left(x-4\right)  

c)

(x+3)(x4)\left(x+3\right)\left(x-4\right)  

d)

(x3)(x+4)\left(x-3\right)\left(x+4\right)  

10.

2xx4=?x216\frac{2x}{x-4}=\frac{?}{x^2-16}  

a)

2x2+8x2x^2+8x  

b)

2x2+4x2x^2+4x  

c)

2x2+82x^2+8  

d)

2x2+42x^2+4