Solving Linear Equations Concepts

This video tutorial guides students through solving three-step linear equations. It begins with an introduction to the concept, followed by detailed examples that demonstrate solving equations with multiple operations, including those with implied brackets and negative numbers. The video concludes with practice problems for students to solve independently, reinforcing the techniques learned.

What is the first step in solving a three-step linear equation?

• Undo addition or subtraction

• Add or subtract to isolate the variable

• Multiply all terms by the same number

• Divide all terms by the same number

In the first example, what operation is performed after adding 1 to both sides?

• Divide by 2

• Multiply by 5

• Add 2

• Subtract 5

What is the value of y in the first example after solving the equation?

• 25

• 15

• 10

• 20

In the second example, why are brackets used in the equation?

• To separate terms

• To imply addition or subtraction in the numerator

• To show division

• To indicate multiplication

What is the final value of x in the second example?

• 5

• 4

• 3

• 2

In the tricky equation, what is the purpose of adding the opposite?

• To change the equation's direction

• To make the equation more complex

• To eliminate the variable

• To simplify the equation

What is the value of x in the tricky equation after solving?

• -30

• -45

• -35

• -40

In the practice problems, what is the first step to solve the equation 5h/2 = 10?

• Subtract 5

• Multiply by 2

• Divide by 2

• Multiply by 5

What is the value of h in the practice problem after solving?

• 4

• 2

• 5

• 3

In the conclusion, what is suggested about solving more complex equations?

• They require a different method

• They are impossible to solve

• The same method can be applied

• They need a calculator