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5.05 Solving rational equations

Adaptive
Worksheet

Interactive practice questions

What values make a rational equation undefined?

Any value that makes a numerator in the equation equal to zero

A

Any value that is not a solution to the equation

B

Any value that makes a denominator in the equation equal to zero

C

Any value that makes both the numerator and denominator equal to zero

D
Medium
< 1min

For what values of $a$a is the following rational equation undefined?

$\frac{4}{a+9}-\frac{3a}{\left(a+2\right)\left(a+1\right)}=0$4a+93a(a+2)(a+1)=0

Medium
4min

For what values of $y$y is the following rational equation undefined?

$\frac{8}{y}+\frac{9}{y-7}=\frac{22}{y^2+y}$8y+9y7=22y2+y

Medium
3min

For what values of $p$p is the following rational equation undefined?

$-\frac{8}{p-7}-\frac{9}{p}=-\frac{3}{p^2-2p}$8p79p=3p22p

Medium
3min
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Outcomes

A.CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

A.REI.A.2

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

F.IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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