Rational Functions 10 (?) Reteach

Simplify:

Answer explanation

Tags

CCSS.HSA.APR.D.6

Simplify:

• $\frac{3x+2}{x-3}\ x\ne4\ x\ne3$

• $\frac{3x+2}{x-4}\ x\ne4\ x\ne-3$

• $\frac{x-4}{x-3}\ x\ne3\ x\ne-\frac{3}{4}$

• $\frac{3x-2}{x-4}x\ne4\ x\ne\frac{2}{3}$

• $\frac{3x-2}{x-3}x\ne3\ x\ne\frac{2}{3}$

Answer explanation

Tags

CCSS.HSA.APR.D.6

Simplify:

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

• $\frac{x+4}{\left(x+3\right)\left(x+5\right)}x\ne5$

• $\frac{x-5}{\left(x+3\right)\left(x+4\right)\left(x+5\right)}x\ne0$

• $\frac{\left(x-5\right)\left(x-4\right)}{\left(x+3\right)\left(x+4\right)\left(x+5\right)}x\ne5$

• $\frac{1}{\left(x+3\right)}x\ne-4\ x\ne-5$

Answer explanation

Tags

CCSS.HSA.APR.D.7

Simplify the expression above, write the denominator of your simplified expression in the box.

Answer explanation

Tags

CCSS.HSA.APR.D.7

Solve the rational equation:

Answer explanation

Tags

CCSS.HSA.REI.A.2

Which of the following are solutions to the inequality, check all that apply.

• x=0

• x=25

• x=-5

• $\left(-4,4\right)\cup\left(20,\ \infty\right)$

• $\left(-\infty,-4\right)\cup\left(4\ ,\ 20\right)$

Answer explanation

Tags

CCSS.HSA.REI.A.2

Which of the following graphs match the function above:

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Answer explanation

Tags

CCSS.HSF-IF.C.7D

Which of the following are true about the functions graph: $f\left(x\right)=\frac{x^2-x-6}{x^2+x-2}$  

• Hole at (-2, 5/3)

• Horzontal Asymtote y=1

• Vertcial Asymtote at x=-2

• Vertical Asymtote at x=1

• x intercept is at (3,0)

Answer explanation

Tags

CCSS.HSF-IF.C.7D

Which of the following graph matches the equation above?

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Answer explanation

Tags

CCSS.HSF-IF.C.7D

Match the graph to the equation above:

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Answer explanation

Tags

CCSS.HSF-IF.C.7D