Solving Multi-Step Equations

The video tutorial covers solving multi-step equations with variables on both sides, emphasizing the use of inverse operations. It includes detailed steps, example problems, and the use of algebra tiles for visual representation. Special attention is given to handling equations with long division bars and grouping symbols.

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

• Use inverse operations

• Bring all variables to one side

• Distribute if necessary

• Combine like terms

When solving equations, why is it important to bring all variables to one side?

• To prepare for graphing

• To make the equation symmetrical

• To eliminate fractions

• To simplify the equation

In the example problem, what operation is used to move 3y to the other side of the equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the final value of y in the first example problem?

• 20

• 15

• 10

• 5

In the second example problem, what is the result of moving 3k to the side with 7k?

• 4k = -36

• 4k = 36

• 10k = 36

• 10k = -36

What is the final value of k in the second example problem?

• -4

• 9

• -9

• 4

In the third example problem, what is the first step when you see grouping symbols?

• Combine like terms

• Distribute

• Subtract variables

• Add constants

What is the final value of w in the third example problem?

• -3

• 0

• 5

• 3

In the fourth example problem, what is the purpose of distributing a negative sign?

• To change the sign of variables

• To eliminate fractions

• To simplify the equation

• To change the sign of constants

What is the final value of x in the fourth example problem?

• -5

• 5

• -1

• 1