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Question 1 of 5: Simplify and State the Restricted Values
$$\frac{3x+6}{x+2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\text{Restricted}\hspace{-.25em}: x≠-2$$ $$\text{Simplified}\hspace{-.25em}:3$$ $$\text{Restricted}\hspace{-.25em}: $$$$x≠-2$$ $$\text{Simplified}\hspace{-.25em}:3$$
B
$$\text{Restricted}\hspace{-.25em}: x≠-6$$ $$\text{Simplified}\hspace{-.25em}:x+2$$ $$\text{Restricted}\hspace{-.25em}:$$$$ x≠-6$$ $$\text{Simplified}\hspace{-.25em}:$$$$x+2$$
C
$$\text{Restricted}\hspace{-.25em}: x≠3$$ $$\text{Simplified}\hspace{-.25em}:x+3$$ $$\text{Restricted}\hspace{-.25em}:$$$$ x≠3$$ $$\text{Simplified}\hspace{-.25em}:$$$$x+3$$
D
$$\text{Restricted}\hspace{-.25em}: x≠6$$ $$\text{Simplified}\hspace{-.25em}:\frac{3}{x+2}$$ $$\text{Restricted}\hspace{-.25em}:$$$$ x≠6$$ $$\text{Simplified}\hspace{-.25em}:$$$$\frac{3}{x+2}$$
E
$$\text{Restricted}\hspace{-.25em}: x≠0$$ $$\text{Simplified}\hspace{-.25em}:\frac{x+3}{x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$ x≠0$$ $$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+3}{x}$$
Question 2 of 5: Simplify and State the Restricted Values
$$\frac{x^2+11x+30}{3x+15}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\text{Restricted}\hspace{-.25em}:x≠5$$$$\text{Simplified}\hspace{-.25em}:\frac{x+3}{6}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠5$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+3}{6}$$
B
$$\text{Restricted}\hspace{-.25em}:x≠6$$$$\text{Simplified}\hspace{-.25em}:\frac{x+11}{3x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠6$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+11}{3x}$$
C
$$\text{Restricted}\hspace{-.25em}:x≠0$$$$\text{Simplified}\hspace{-.25em}:\frac{x+30}{x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠0$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+30}{x}$$
D
$$\text{Restricted}\hspace{-.25em}:x≠-6$$$$\text{Simplified}\hspace{-.25em}:\frac{x^2+6x}{5x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-6$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x^2+6x}{5x}$$
E
$$\text{Restricted}\hspace{-.25em}:x≠-5$$$$\text{Simplified}\hspace{-.25em}:\frac{x+6}{3}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-5$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+6}{3}$$
Question 3 of 5: Simplify and State the Restricted Values
$$\frac{7x^2+53x-24}{7x^2+70x+112}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\text{Restricted}\hspace{-.25em}:x≠-4,7$$$$\text{Simplified}\hspace{-.25em}:\frac{7x-8}{x-10}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-4,7$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{7x-8}{x-10}$$
B
$$\text{Restricted}\hspace{-.25em}:x≠3,-7$$$$\text{Simplified}\hspace{-.25em}:\frac{x^2-3}{x-7}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠3,-7$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x^2-3}{x-7}$$
C
$$\text{Restricted}\hspace{-.25em}:x≠7,-7$$$$\text{Simplified}\hspace{-.25em}:\frac{7x}{7(10x+14)}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠7,-7$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{7x}{7(10x+14)}$$
D
$$\text{Restricted}\hspace{-.25em}:x≠-10,7$$$$\text{Simplified}\hspace{-.25em}:\frac{7x^2-14x}{7(x+10)}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-10,7$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{7x^2-14x}{7(x+10)}$$
E
$$\text{Restricted}\hspace{-.25em}:x≠-8,-2$$$$\text{Simplified}\hspace{-.25em}:\frac{7x-3}{7(x+2)}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-8,-2$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{7x-3}{7(x+2)}$$
Question 4 of 5: Simplify and State the Restricted Values
$$\frac{x^2+10x+9}{x^2-5x-6}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\text{Restricted}\hspace{-.25em}:x≠-5,6$$$$\text{Simplified}\hspace{-.25em}:\frac{5x+3}{x+3}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-5,6$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{5x+3}{x+3}$$
B
$$\text{Restricted}\hspace{-.25em}:x≠3,-3$$$$\text{Simplified}\hspace{-.25em}:\frac{x-3}{x-6}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠3,-3$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x-3}{x-6}$$
C
$$\text{Restricted}\hspace{-.25em}:x≠5,9$$$$\text{Simplified}\hspace{-.25em}:\frac{x+3}{x-9}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠5,9$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+3}{x-9}$$
D
$$\text{Restricted}\hspace{-.25em}:x≠6,-1$$$$\text{Simplified}\hspace{-.25em}:\frac{x+9}{x-6}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠6,-1$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+9}{x-6}$$
E
$$\text{Restricted}\hspace{-.25em}:x≠-6,1$$$$\text{Simplified}\hspace{-.25em}:6x$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-6,1$$$$\text{Simplified}\hspace{-.25em}:6x$$
Question 5 of 5: Simplify and State the Restricted Values
$$\frac{4x^3+12x^2+8x}{10x^3+20x^2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\text{Restricted}\hspace{-.25em}:x≠4,-9$$$$\text{Simplified}\hspace{-.25em}:\frac{x+4}{x+2}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠4,-9$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x+4}{x+2}$$
B
$$\text{Restricted}\hspace{-.25em}:x≠3,2$$$$\text{Simplified}\hspace{-.25em}:\frac{x(x-9)}{x+5}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠3,2$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x(x-9)}{x+5}$$
C
$$\text{Restricted}\hspace{-.25em}:x≠-1,-5$$$$\text{Simplified}\hspace{-.25em}:\frac{x(x-3)}{x-2}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠-1,-5$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{x(x-3)}{x-2}$$
D
$$\text{Restricted}\hspace{-.25em}:x≠5,2$$$$\text{Simplified}\hspace{-.25em}:\frac{4x(x-1)}{x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠5,2$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{4x(x-1)}{x}$$
E
$$\text{Restricted}\hspace{-.25em}:x≠0,-2$$$$\text{Simplified}\hspace{-.25em}:\frac{2(x+1)}{5x}$$ $$\text{Restricted}\hspace{-.25em}:$$$$x≠0,-2$$$$\text{Simplified}\hspace{-.25em}:$$$$\frac{2(x+1)}{5x}$$

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