Simplify the expression. x − 4 10 x + 30 − 2 10 x + 30 \frac{x-4}{10x+30}-\frac{2}{10x+30} 1 0 x + 3 0 x − 4 − 1 0 x + 3 0 2

x − 6 10 x + 30 \frac{x-6}{10x+30} 1 0 x + 3 0 x − 6

x − 2 10 x + 30 \frac{x-2}{10x+30} 1 0 x + 3 0 x − 2

x − 3 5 x + 15 \frac{x-3}{5x+15} 5 x + 1 5 x − 3

x − 1 10 x + 5 \frac{x-1}{10x+5} 1 0 x + 5 x − 1

Simplify the expression. 4 x − 4 − 3 x − 3 \frac{4}{x-4}-\frac{3}{x-3} x − 4 4 − x − 3 3

x ( x − 4 ) ( x − 3 ) \frac{x}{\left(x-4\right)\left(x-3\right)} ( x − 4 ) ( x − 3 ) x

1 ( x − 4 ) ( x − 3 ) \frac{1}{\left(x-4\right)\left(x-3\right)} ( x − 4 ) ( x − 3 ) 1

x − 24 ( x − 4 ) ( x − 3 ) \frac{x-24}{\left(x-4\right)\left(x-3\right)} ( x − 4 ) ( x − 3 ) x − 2 4

Simplify the expression. 2 x − 1 + 4 x + 1 \frac{2}{x-1}+\frac{4}{x+1} x − 1 2 + x + 1 4

6 x − 2 ( x − 1 ) ( x + 1 ) \frac{6x-2}{\left(x-1\right)\left(x+1\right)} ( x − 1 ) ( x + 1 ) 6 x − 2

6 x + 6 ( x − 1 ) ( x + 1 ) \frac{6x+6}{\left(x-1\right)\left(x+1\right)} ( x − 1 ) ( x + 1 ) 6 x + 6

6 x − 2 2 x \frac{6x-2}{2x} 2 x 6 x − 2

3 x − 1 x \frac{3x-1}{x} x 3 x − 1

Adding and Subtracting Rational Expressions

10th - 12th Grade

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10 Qs

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Adding and Subtracting Rational Expressions

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.APR.D.7

Standards-aligned

Elisabeth Broderick

Used 71+ times

FREE Resource

10 questions

Show all answers

FILL IN THE BLANK QUESTION

1 min • 1 pt

Fill in the blank expressions in order to obtain a common denominator. $\frac{2x+1}{\left(x+2\right)\left(x-3\right)}+\frac{x}{\left(x+2\right)\left(\ldots\ldots\ldots\right)}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE SELECT QUESTION

45 sec • 1 pt

$\frac{x-2}{x^2+x-12}-\frac{x}{x^2+6x+8}$ Select the expressions that would make up the Least Common Denominator of the following.

(x - 3)

(x - 4)

(x + 2)

(x + 4)

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Simplify the expression. $\frac{2x+1}{x^2-12x+36}+\frac{4x+4}{x^2-12x+36}$

$\frac{6x+5}{x^2-12x+36}$

6x + 5

$\frac{8x^2+12x+4}{x^2-12x+36}$

$\frac{x+5}{x^2-2x+36}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Simplify the expression. $\frac{x-4}{10x+30}-\frac{2}{10x+30}$

$\frac{x-2}{10x+30}$

$\frac{x-3}{5x+15}$

$\frac{x-6}{10x+30}$

$\frac{x-1}{10x+5}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression.

$\frac{x-5}{x-6}+\frac{2}{x+1}$

$\frac{x-7}{\left(x-6\right)\left(x+1\right)}$

$\frac{x^2-2x-17}{\left(x-6\right)\left(x+1\right)}$

$\frac{x-3}{-5}$

$\frac{2x-10}{\left(x+1\right)\left(x-6\right)}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression. $\frac{3x}{3x-2}-\frac{2}{x+5}$

$\frac{3x^2-21x+4}{\left(3x-2\right)\left(x+5\right)}$

$\frac{3x^2+9x+4}{\left(3x-2\right)\left(x+5\right)}$

$\frac{3x-2}{2x-7}$

$\frac{3x-2}{4x+3}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression.

$\frac{4}{x-4}-\frac{3}{x-3}$

$\frac{x}{\left(x-4\right)\left(x-3\right)}$

$\frac{1}{-7}$

$\frac{1}{\left(x-4\right)\left(x-3\right)}$

$\frac{x-24}{\left(x-4\right)\left(x-3\right)}$

Tags

CCSS.HSA.APR.D.7

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Adding and Subtracting Rational Expressions

10 questions

Fill in the blank expressions in order to obtain a common denominator. $\frac{2x+1}{\left(x+2\right)\left(x-3\right)}+\frac{x}{\left(x+2\right)\left(\ldots\ldots\ldots\right)}$

$\frac{x-2}{x^2+x-12}-\frac{x}{x^2+6x+8}$ Select the expressions that would make up the Least Common Denominator of the following.

Simplify the expression. $\frac{2x+1}{x^2-12x+36}+\frac{4x+4}{x^2-12x+36}$

Simplify the expression. $\frac{x-4}{10x+30}-\frac{2}{10x+30}$

Simplify the expression.

$\frac{x-5}{x-6}+\frac{2}{x+1}$

Simplify the expression. $\frac{3x}{3x-2}-\frac{2}{x+5}$

Simplify the expression.

$\frac{4}{x-4}-\frac{3}{x-3}$

Simplify the expression.

$\frac{2}{x-1}+\frac{4}{x+1}$

$\frac{x}{x+6}+\frac{5x}{x^2+2x-24}$

Simplify the expression.

$\frac{2}{x^2-3x+2}-\frac{5x}{x^2-5x+6}$

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Discover more resources for Mathematics

Adding and Subtracting Rational Expressions

10 questions

Fill in the blank expressions in order to obtain a common denominator. 2x+1(x+2)(x−3)+x(x+2)(………)\frac{2x+1}{\left(x+2\right)\left(x-3\right)}+\frac{x}{\left(x+2\right)\left(\ldots\ldots\ldots\right)}(x+2)(x−3)2x+1​+(x+2)(………)x​

x−2x2+x−12−xx2+6x+8\frac{x-2}{x^2+x-12}-\frac{x}{x^2+6x+8}x2+x−12x−2​−x2+6x+8x​ Select the expressions that would make up the Least Common Denominator of the following.

Simplify the expression. 2x+1x2−12x+36+4x+4x2−12x+36\frac{2x+1}{x^2-12x+36}+\frac{4x+4}{x^2-12x+36}x2−12x+362x+1​+x2−12x+364x+4​

Simplify the expression. x−410x+30−210x+30\frac{x-4}{10x+30}-\frac{2}{10x+30}10x+30x−4​−10x+302​

Simplify the expression. x−5x−6+2x+1\frac{x-5}{x-6}+\frac{2}{x+1}x−6x−5​+x+12​

Simplify the expression. 3x3x−2−2x+5\frac{3x}{3x-2}-\frac{2}{x+5}3x−23x​−x+52​

Simplify the expression. 4x−4−3x−3\frac{4}{x-4}-\frac{3}{x-3}x−44​−x−33​

Simplify the expression. 2x−1+4x+1\frac{2}{x-1}+\frac{4}{x+1}x−12​+x+14​

xx+6+5xx2+2x−24\frac{x}{x+6}+\frac{5x}{x^2+2x-24}x+6x​+x2+2x−245x​

Simplify the expression. 2x2−3x+2−5xx2−5x+6\frac{2}{x^2-3x+2}-\frac{5x}{x^2-5x+6}x2−3x+22​−x2−5x+65x​

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Discover more resources for Mathematics

Fill in the blank expressions in order to obtain a common denominator. $\frac{2x+1}{\left(x+2\right)\left(x-3\right)}+\frac{x}{\left(x+2\right)\left(\ldots\ldots\ldots\right)}$

$\frac{x-2}{x^2+x-12}-\frac{x}{x^2+6x+8}$ Select the expressions that would make up the Least Common Denominator of the following.

Simplify the expression. $\frac{2x+1}{x^2-12x+36}+\frac{4x+4}{x^2-12x+36}$

Simplify the expression. $\frac{x-4}{10x+30}-\frac{2}{10x+30}$

Simplify the expression.

$\frac{x-5}{x-6}+\frac{2}{x+1}$

Simplify the expression. $\frac{3x}{3x-2}-\frac{2}{x+5}$

Simplify the expression.

$\frac{4}{x-4}-\frac{3}{x-3}$

Simplify the expression.

$\frac{2}{x-1}+\frac{4}{x+1}$

$\frac{x}{x+6}+\frac{5x}{x^2+2x-24}$

Simplify the expression.

$\frac{2}{x^2-3x+2}-\frac{5x}{x^2-5x+6}$