Solving Linear Equations and Inequalities

The video tutorial explains how to solve multi-step equations by combining like terms, moving variables to one side, and using inverse operations. It provides several examples, including solving equations with negative variables, complex equations with parentheses, and equations with variables on both sides. Each example is solved step-by-step, and the solutions are verified by substituting the values back into the original equations.

What is the first step in solving multi-step equations?

• Multiply both sides by a constant

• Combine like terms on one side

• Divide both sides by a variable

• Add a constant to both sides

In the equation 3X + 4 = 7, what operation should be used to isolate 3X?

• Multiplication

• Subtraction

• Division

• Addition

After isolating 3X in the equation 3X + 4 = 7, what is the next step?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

What is the solution to the equation 3X + 4 = 7?

• X = 4

• X = 1

• X = 2

• X = 3

In the equation -X = -4, what operation is needed to solve for X?

• Add 4 to both sides

• Divide both sides by -1

• Multiply both sides by -1

• Subtract 4 from both sides

What is the solution to the equation -X = -4?

• X = 1

• X = 4

• X = -4

• X = 0

In the equation -15 = -(3X + 9), what is the first step to simplify?

• Divide both sides by 3

• Multiply both sides by -1

• Subtract 9 from both sides

• Add 9 to both sides

After simplifying -15 = -(3X + 9), what is the next step?

• Multiply both sides by 3

• Subtract 9 from both sides

• Add 9 to both sides

• Divide both sides by 3

What is the solution to the equation -15 = -(3X + 9)?

• X = 3

• X = 2

• X = 5

• X = 4

In the equation 14X - 6 = 8, what operation is needed to isolate 14X?

• Divide both sides by 14

• Multiply both sides by 14

• Subtract 6 from both sides

• Add 6 to both sides