Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{2(x+1)}{4(x-1)(x+1)}$$ .

$$\frac{1}{2(x-1)}$$ ; excluded values: $$x = 1, -1$$

$$\frac{1}{2(x+1)}$$ ; excluded values: $$x = 1, -1$$

$$\frac{1}{4(x-1)}$$ ; excluded values: $$x = 1, -1$$

$$\frac{1}{4(x+1)}$$ ; excluded values: $$x = 1, -1$$

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{(x+3)}{(x+3)(x+9)}$$ .

Simplified expression: $$\frac{1}{x+9}$$ (for $$x \neq -3$$ and $$x \neq -9$$ ). Excluded values: $$x = -3, -9$$

Simplified expression: $$\frac{1}{x+3}$$ (for $$x \neq -9$$ ). Excluded values: $$x = -9$$

Simplified expression: $$\frac{x+3}{x+9}$$ (for $$x \neq -3$$ and $$x \neq -9$$ ). Excluded values: $$x = -3, -9$$

Simplified expression: $$\frac{1}{x+9}$$ (for $$x \neq -9$$ ). Excluded values: $$x = -9$$

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{x^2+7x+10}{x^2-25}$$ .

The expression simplifies to $$\frac{x+2}{x-5}$$ with excluded values $$x\ne-5,\ 5$$ .

The expression simplifies to $$\frac{x+2}{x-5}$$ with excluded values $$x=5,-5$$ .

The expression simplifies to $$\frac{x+5}{x-5}$$ with excluded values $ x = 5, -5 $.

The expression simplifies to $$\frac{x+7}{x+5}$$ with excluded values $$x\ne25,-25$$ .

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{x^2+6x+9}{x^2-2x-15}$$ .

The expression simplifies to $$\frac{x+3}{x-5}$$ with excluded values $$x\ne-3,\ 5$$ .

The simplified expression is $$\frac{x^2+6x+9}{x^2-2x-15}$$ with excluded values $$x\ne-15,\ 15$$ .

The expression simplifies to $$\frac{x+3}{x+5}$$ with excluded values $$x\ne-3,\ 5$$ .

The expression simplifies to $$\frac{x-3}{x+5}$$ with excluded values $$x\ne-15,\ 15$$ .

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{2x^2+12x}{4x^2+24x}$$ .

$$\frac{1}{2}$$ with excluded values $$x\ne0,\ -6$$

$$\frac{2x\left(x+6\right)}{4x\left(x+6\right)}$$ values $$x\ne0,\ -6$$

$$\frac{2x}{4x}$$ values $$x\ne0,\ -6$$

$$\frac{2x^2+12x}{4x^2+24x}$$ values $$x\ne-24,\ 24$$

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{4x+8}{x^2-4}$$ .

$$\frac{4}{x-2}$$ , excluded values: $$x \neq 2, -2$$

$$\frac{4(x+2)}{(x-2)(x+2)}$$ , excluded values: $$x \neq 2, -2$$

2, excluded values: $$x \neq 0, 2$$

$$\frac{4x+8}{x^2-4}$$ , excluded values: $$x \neq 2, -2$$

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{x^2-16}{x^2+10x+24}$$ .

The expression simplifies to $$\frac{x-4}{x+6}$$ with excluded values $$x = -6, -4$$ .

The expression simplifies to $$\frac{x+4}{x+6}$$ with excluded values $$x = -6, -4$$ .

The expression simplifies to $$\frac{x-4}{x+4}$$ with excluded values $$x=-4$$ .

The expression simplifies to $$\frac{x+4}{x-6}$$ with excluded values $$x = -6, -4$$ .

Simplify the following rational expression if possible. Then determine any excluded values. $$\frac{x^3-x^2}{5x^2-5x}$$ .

The expression simplifies to $$\frac{x}{5}$$ with excluded values $$x\ne0,\ 1$$ .

The expression simplifies to $$\frac{x(x-1)}{5(x-1)}$$ with excluded value $$x\ne1$$ .

The expression simplifies to $$\frac{5}{x}$$ with excluded value $$x \neq 0, 1$$ .

The expression simplifies to $$\frac{x^2}{5x}$$ with excluded value $$x \neq 0$$ .

U11 E1 Simplifying Rational Expressions

Authored by Grady Giffin

Mathematics

11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(x-10)/(x+3); Excluded values: x ≠ -3, -7

(x+10)/(x-3); Excluded values: x ≠ 3, 7

(x-10)/(x+3); Excluded values: x ≠ 3, 7

(x+10)/(x-3); Excluded values: x ≠ -3, -7

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

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CCSS.HSA.APR.D.6

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