Solving Rational Equations and Inequalities

This video tutorial explains how to solve two rational equations using cross multiplication. The instructor begins by defining rational equations and proportions, then demonstrates solving the first equation by rearranging terms and applying cross multiplication. The solution is verified, and the process is repeated for a second equation, highlighting the importance of isolating variables and simplifying expressions. The video concludes with a call to action for viewers to subscribe for more content.

What is a rational equation?

• An equation involving whole numbers only

• An equation involving fractions

• An equation with no variables

• An equation that cannot be solved

What is the first step in solving a rational equation with two fractions?

• Move one fraction to the other side of the equation

• Subtract the fractions

• Add the fractions together

• Multiply the fractions

What method is used to solve the first rational equation?

• Factoring

• Graphing

• Cross multiplication

• Substitution

After cross-multiplying, what is the next step in solving the equation?

• Divide both sides by a number

• Distribute the multiplication

• Add the results

• Subtract the results

What is the solution for X in the first equation?

• X = 1

• X = 5

• X = 3

• X = 7

What is the first step in setting up the second rational equation?

• Move a fraction to the other side

• Add a constant to both sides

• Multiply both sides by a number

• Divide both sides by a variable

What method is used to solve the second rational equation?

• Elimination

• Substitution

• Cross multiplication

• Graphing

What is the result of cross-multiplying in the second equation?

• X times 10 equals 4 times 9

• 4 times X equals 9 times (10 - X)

• 9 times X equals 4 times (10 - X)

• 4 times (10 - X) equals -9 times X

What is the solution for X in the second equation?

• X = -8

• X = 4

• X = -4

• X = 8

What is the final step in solving the second equation?

• Subtract a constant from both sides

• Multiply both sides by a variable

• Add a constant to both sides

• Divide both sides by a number