Mastering Adding and Subtracting Rational Expressions

This video tutorial covers solving multi-step equations with variables on both sides. It begins with an introduction to the concept, followed by multiple examples demonstrating the process of simplifying each side, using inverse operations, and checking solutions. The tutorial emphasizes the importance of combining like terms and using the distributive property effectively. It concludes with a summary of the key steps involved in solving such equations.

What is the first step in solving multi-step equations with variables on both sides?

• Combine like terms on both sides

• Check the solution

• Move variables to one side

• Distribute and then check for like terms

In Example 1, what is the value of x when solving 8x + 17 = 2x + 35?

• x = 5

• x = 3

• x = 4

• x = 2

In Example 2, what is the value of k when solving 5k + 8 = -37?

• k = -9

• k = -8

• k = -7

• k = -10

In Example 7, what is the value of x when solving -2x - 16 = -23 - 9x?

• x = -3

• x = -2

• x = -1

• x = -4

In Example 8, what is the value of r when solving -2r - 5 = -23?

• r = 8

• r = 9

• r = 10

• r = 7

In Example 11, what is the value of a when solving 2a = 5a - 33?

• a = 12

• a = 9

• a = 10

• a = 11

In Example 12, what is the value of m when solving 9m - 25 = 20?

• m = 5

• m = 4

• m = 7

• m = 6

In Example 14, what is the value of n when solving -n + 18 = 20?

• n = -4

• n = -3

• n = -2

• n = -1

In Example 15, what is the value of p when solving -7p - 16 = 4p + 17?

• p = -2

• p = -3

• p = -4

• p = -5

In Example 16, what is the value of b when solving -6b + 14 = -12 - 8b?

• b = -13

• b = -11

• b = -12

• b = -14