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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Rational Expressions, Equations and ExponentsSection:Solving Rational Equations
 
Problem: 1

Verify whether the given x–value is a solution of the equation.

Problem: 3

Solve by cross–multiplying. Check your answer.

Problem: 5

Solve by cross–multiplying. Check your answer.

Problem: 7

Solve by cross multiplying. Check your answer.

Problem: 9

Solve by cross multiplying. Check your answer.

Problem: 11

Solve the equation.

Problem: 13

Solve the equation.

Problem: 15

Solve the equation.

Problem: 17

Solve the equation.

Problem: 19

Solve.

Problem: 21

Solve.

Problem: 23

Solve.

Problem: 25

Solve the given rational equation.

Problem: 27

Solve the given rational equation.

Problem: 29

Solve the given rational equation.

Problem: 31

Solve the given rational equation.

Problem: 33

Solve the given rational equation.

Problem: 35

Solve the given rational equation.

Problem: 37

Solve for I:

Problem: 39

Solve for T:

Problem: 41

Solve for n:

Problem: 43

Jimmy's car is travelling 60 km/hr faster than Abdul's car. During the time it takes Abdul to go 180 km, Jimmy goes 480 km. Find their speeds.

Problem: 45

The sum of one third a number and its reciprocal is the same as 28 divided by the number.

Problem: 47

A fully–loaded train travels 16 km/hr slower than an empty train. The loaded train travels 440 km in the same time it takes the passenger train to travel 600 km. Find the two speeds.

Problem: 49

At a speed chef's competition, Mr. Rodriguez makes 50 vegetarian burritos by himself in 6 minutes. Working at the same time, Mrs. Chavez and Mr. Rodriguez make 50 vegetarian burritos in only 4 minutes. How long would it take Mrs. Chavez to make 50 vegetarian burritos on her own?

Problem: 51

It takes 12 minutes to fill a bathtub and 24 minutes to drain it. Suppose you start to fill the tub, but you forget to close the drain. How long will it take to fill?

Problem: 1

Verify whether the given x–value is a solution of the equation.

Problem: 3

Solve by cross–multiplying. Check your answer.

Problem: 5

Solve by cross–multiplying. Check your answer.

Problem: 7

Solve by cross multiplying. Check your answer.

Problem: 9

Solve by cross multiplying. Check your answer.

Problem: 11

Solve the equation.

Problem: 13

Solve the equation.

Problem: 15

Solve the equation.

Problem: 17

Solve the equation.

Problem: 19

Solve.

Problem: 21

Solve.

Problem: 23

Solve.

Problem: 25

Solve the given rational equation.

Problem: 27

Solve the given rational equation.

Problem: 29

Solve the given rational equation.

Problem: 31

Solve the given rational equation.

Problem: 33

Solve the given rational equation.

Problem: 35

Solve the given rational equation.

Problem: 37

Solve for I:

Problem: 39

Solve for T:

Problem: 41

Solve for n:

Problem: 43

Jimmy's car is travelling 60 km/hr faster than Abdul's car. During the time it takes Abdul to go 180 km, Jimmy goes 480 km. Find their speeds.

Problem: 45

The sum of one third a number and its reciprocal is the same as 28 divided by the number.

Problem: 47

A fully–loaded train travels 16 km/hr slower than an empty train. The loaded train travels 440 km in the same time it takes the passenger train to travel 600 km. Find the two speeds.

Problem: 49

At a speed chef's competition, Mr. Rodriguez makes 50 vegetarian burritos by himself in 6 minutes. Working at the same time, Mrs. Chavez and Mr. Rodriguez make 50 vegetarian burritos in only 4 minutes. How long would it take Mrs. Chavez to make 50 vegetarian burritos on her own?

Problem: 51

It takes 12 minutes to fill a bathtub and 24 minutes to drain it. Suppose you start to fill the tub, but you forget to close the drain. How long will it take to fill?