Simplify and Solve Complex Algebraic Fractions

11th - 12th Grade

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17 Qs

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Simplify and Solve Complex Algebraic Fractions

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA.REI.A.2, HSA.APR.D.7, 6.EE.A.2C

Standards-aligned

Ixiamara Figueroa

Used 14+ times

FREE Resource

17 questions

Show all answers

OPEN ENDED QUESTION

5 mins • Ungraded

Solve these Complex Fractions Expression $\frac{3}{x-2}-\frac{6}{x^2-4}\div\frac{3}{x+2}+\frac{1}{x-2}$

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CCSS.HSA.APR.D.7

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{1}{2x-5}-\frac{7}{8x-20}\div\frac{x}{2x-5}$

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CCSS.HSA.APR.D.7

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{1+\frac{1}{x}}{1-\frac{1}{x^2}}$

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CCSS.HSA.APR.D.6

OPEN ENDED QUESTION

5 mins • Ungraded

$a+\frac{a}{a+2}\div a-\frac{a}{a+2}$

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CCSS.HSA.APR.D.7

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{a-b}{a}+\frac{a-b}{b}\div\frac{a-b}{b}-\frac{a-b}{a}$

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OPEN ENDED QUESTION

5 mins • Ungraded

IF a=2, b=3,c=1
$\frac{b^2-a^2}{2ac}$

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Tags

CCSS.6.EE.A.2C

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{3b}{5}-\frac{ab}{a}$
If a=2,b=3,c=1

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OFF

Tags

CCSS.6.EE.A.2C

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{a^2}{b^2}-\frac{a}{b}\div\frac{c^2}{b}$
If a=2, b=3,c=1

Evaluate responses using AI:

OFF

Tags

CCSS.6.EE.A.2C

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{x+10}{4}-\frac{x-10}{6}=\frac{x+10}{2}$
Solve the Equation by LCD

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OFF

Tags

CCSS.HSA.REI.A.2

10.

OPEN ENDED QUESTION

5 mins • Ungraded

$\frac{x+9}{4}+\frac{x+1}{2}=\frac{x-11}{5}$
Solve the equation by LCD

Evaluate responses using AI:

OFF

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Simplify and Solve Complex Algebraic Fractions

17 questions

Solve these Complex Fractions Expression 3x−2−6x2−4÷3x+2+1x−2\frac{3}{x-2}-\frac{6}{x^2-4}\div\frac{3}{x+2}+\frac{1}{x-2}x−23​−x2−46​÷x+23​+x−21​

12x−5−78x−20÷x2x−5\frac{1}{2x-5}-\frac{7}{8x-20}\div\frac{x}{2x-5}2x−51​−8x−207​÷2x−5x​

1+1x1−1x2\frac{1+\frac{1}{x}}{1-\frac{1}{x^2}}1−x21​1+x1​​

a+aa+2÷a−aa+2a+\frac{a}{a+2}\div a-\frac{a}{a+2}a+a+2a​÷a−a+2a​

a−ba+a−bb÷a−bb−a−ba\frac{a-b}{a}+\frac{a-b}{b}\div\frac{a-b}{b}-\frac{a-b}{a}aa−b​+ba−b​÷ba−b​−aa−b​

IF a=2, b=3,c=1 b2−a22ac\frac{b^2-a^2}{2ac}2acb2−a2​

3b5−aba\frac{3b}{5}-\frac{ab}{a}53b​−aab​ If a=2,b=3,c=1

a2b2−ab÷c2b\frac{a^2}{b^2}-\frac{a}{b}\div\frac{c^2}{b}b2a2​−ba​÷bc2​ If a=2, b=3,c=1

x+104−x−106=x+102\frac{x+10}{4}-\frac{x-10}{6}=\frac{x+10}{2}4x+10​−6x−10​=2x+10​ Solve the Equation by LCD

x+94+x+12=x−115\frac{x+9}{4}+\frac{x+1}{2}=\frac{x-11}{5}4x+9​+2x+1​=5x−11​ Solve the equation by LCD

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Solve these Complex Fractions Expression $\frac{3}{x-2}-\frac{6}{x^2-4}\div\frac{3}{x+2}+\frac{1}{x-2}$

$\frac{1}{2x-5}-\frac{7}{8x-20}\div\frac{x}{2x-5}$

$\frac{1+\frac{1}{x}}{1-\frac{1}{x^2}}$

$a+\frac{a}{a+2}\div a-\frac{a}{a+2}$

$\frac{a-b}{a}+\frac{a-b}{b}\div\frac{a-b}{b}-\frac{a-b}{a}$

IF a=2, b=3,c=1
$\frac{b^2-a^2}{2ac}$

$\frac{3b}{5}-\frac{ab}{a}$
If a=2,b=3,c=1

$\frac{a^2}{b^2}-\frac{a}{b}\div\frac{c^2}{b}$
If a=2, b=3,c=1

$\frac{x+10}{4}-\frac{x-10}{6}=\frac{x+10}{2}$
Solve the Equation by LCD

$\frac{x+9}{4}+\frac{x+1}{2}=\frac{x-11}{5}$
Solve the equation by LCD