Rational Equations and Partial Fractions

Practice Questions

Pre-Calculus › Rational Equations and Partial Fractions

Questions

10

1

Solve this equation and check your answer:

$1+\frac{n+6}{n+1}=\frac{4}{n-2}$

2

Solve $\frac{(x+1)(x-2)}{(x-3)^2(x+4)^3}<0$

3

Solve the inequality:

$1+\frac{5}{z-1}<\frac{7}{6}$

4

Decompose $\frac{2b+1}{b^2+b}$ into partial fractions.

5

Decompose $\frac{3p-1}{p^2-1}$ into partial fractions.

6

Decompose $\frac{b-11}{b^2-2b-3}$ into partial fractions.

7

Solve the inequality: $\frac{1}{4a}+\frac{3}{8a}>\frac{1}{4}$

8

The Southern Springs swimming pool can be filled by a pump in 12 hours. It can be drained in 20 hours. If the drain pipe was accidentally left open while the pool was being filled, how long would it take to fill the pool?

9

What is the LCD (least common denominator) of the rational expressions in the following equation?

$\frac{a}{3(a+1)}-\frac{5}{2(a-1)}=\frac{2a}{4(a+1)}$

10

This graph could be which of the following?

Screen shot 2020 05 28 at 10.54.18 pm

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