Adding and Subtracting Rationals

Simplify 

 $\frac{m}{3m+6}-\frac{4m}{m+2}$  

•  $-\frac{11m}{3\left(m+2\right)}$  

•  $\frac{13m}{3\left(m+2\right)}$  

•  $\frac{m}{3\left(m+2\right)^2}$  

•  $-\frac{3m}{m+2}$  

Tags

CCSS.HSA.APR.D.7

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

•  $\frac{\left(2x^2-x-3\right)}{\left(x+4\right)\left(x-1\right)}$  

•  $\frac{\left(2x^2-3x-3\right)}{\left(x+4\right)\left(x-1\right)}$  

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

•  $\frac{\left(3x^2-x-3\right)}{\left(x+4\right)^2\left(x-1\right)}$  

Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.7.NS.A.1C

Add

 $\frac{3x-2}{x+2}+\frac{2x}{4x-1}$  

•  $\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}$  

•  $\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\$  

•  $\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\$  

Add

 $\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}$  

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

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\$  

•  $\frac{5x+11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\$  

Tags

CCSS.HSA.APR.D.7

Bob has factored the denominators and made sure there is a common denominator.  He must be...

• Adding or Subtracting Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions

Tags

CCSS.HSA.APR.D.7

Find the least common denominator of the expression

• 18
• 6x
• 3xy
• 6xy

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• 6x / 20xy
• 3 / 10y
• (6x+1) / (20xy)
• 3 / 20xy

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• n / 2m 
• n / 3m 
• (m² + 4n²) / 12m
• n / 4m 

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• (5x + 4y) / 9y
• (6y + 3x) / 3y
• (2y + x) / y
• (6y + 3x) / 9y 

Tags

CCSS.HSA.APR.D.7