Adding and Subtracting Rationals HW

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

Simplify the expression

• (-17x - 12y) / 15x

• (23x - 4y) / 15x

• (-17x - 4y) / 15x

• (-3x - 4y) / 8x

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• (4 - 2ab² + 3b³) / 4b²
• (4a - 2a²b² + 3ab³) / 4ab²
• (4 - 2ab² - 3b³) / 4b²
• (4a - 2a²b² - 3ab³) / 4ab²

Tags

CCSS.HSA.APR.D.6

Simplify the expression

• (19k² -12k - 12) / 4k(5k-4)
• (19k² - 24k) / 4k(5k-4)
• (19k) /  4(5k-4)
• (19k - 24) / 4(5k-4)

Tags

CCSS.HSA.APR.D.7

Subtract
 $\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}$  

•  $\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4$  

•  $\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8$  

•  $\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4$  

•  $\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8$  

Tags

CCSS.HSA.APR.D.7

Add
 $\frac{2x}{x^2-36}+\frac{x+4}{x+6}$  

•  $\frac{x^2-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

•  $\frac{x^3+6x^2-24x}{\left(x+6\right)\left(x^2-36\right)};\ x\ne-6,\ 36$  

•  $\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

•  $\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6$  

Tags

CCSS.HSA.APR.D.7

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

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

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

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

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

Tags

CCSS.HSA.APR.D.7