Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces algebraic proportions, explaining the steps to solve them using cross-multiplication. It provides examples, demonstrating how to handle equations with variables on both sides and the use of the distributive property. The tutorial includes a series of odd-numbered problems solved by the teacher, with even-numbered problems assigned to students for practice.

What is the first step in solving algebraic proportions?

• Cross-multiply the fractions

• Subtract the variables

• Distribute the terms

• Solve the two-step equations

What should you do if your equation includes parentheses?

• Ignore the parentheses

• Only multiply the first term

• Use the distributive property

• Divide each term

How do you handle equations with variables on both sides?

• Only divide the coefficients

• Move all variables to one side

• Combine like terms

• Cross-multiply again

What is the result of dividing -12 by -3 in the equation solving process?

• 4

• -3

• -4

• 3

In the equation 2a - 6 = 3a + 3, what is the value of 'a' after solving?

• -3

• 3

• -9

• 9

What is the correct solution for the equation 6M - 54 = 8M - 64?

• M = -10

• M = -5

• M = 5

• M = 10

How do you solve the equation 2V - 16 = 5V - 10?

• V = -2

• V = -3

• V = 2

• V = 3

What is the solution for the equation 3Y - 27 = 4Y - 28?

• Y = 2

• Y = -1

• Y = 1

• Y = 0

In the equation 2R + 20 = 4R, what is the value of 'R'?

• 20

• 10

• 30

• 40

What is the final value of 'U' in the equation 9U + 21 = 8U + 18?

• U = 3

• U = -3

• U = 0

• U = 1