Exploring Equations and Inequalities

Mrs. Griffin explains how to solve equations and inequalities by simplifying each side, moving variables to one side, and using inverse operations. She provides a detailed example and highlights the importance of flipping the inequality sign when multiplying or dividing by a negative number.

What is the first step in solving an equation or inequality?

• Undo addition and subtraction

• Simplify each side

• Undo multiplication and division

• Move variables to one side

How do you simplify the expression 2 * (x + 3)?

• 2x + 3x

• 2x + 3

• 2x + 9

• 2x + 6

What should you do after simplifying each side of the equation?

• Move variables to one side

• Check your solution

• Undo addition and subtraction

• Undo multiplication and division

If you have the equation 6m = 5 + 2m, what is the next step?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 2m from both sides

• Add 2m to both sides

What is the inverse operation to undo addition?

• Addition

• Subtraction

• Multiplication

• Division

In the equation 2x + 4 = 8, what is the result after subtracting 4 from both sides?

• 2x = 12

• 2x = 4

• x = 2

• x = 4

What is the final step in solving the equation 8x = 16?

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the solution to the equation 8x = 16?

• x = 1

• x = 2

• x = 8

• x = 16

When solving inequalities, what must you do if you multiply or divide by a negative number?

• Subtract the same number from both sides

• Flip the inequality sign

• Add the same number to both sides

• Keep the inequality sign the same

What is the solution to the inequality -4x < 8 after dividing both sides by -4?

• x < -2

• x > -2

• x < 2

• x > 2