Solving One-Variable Equations and Inequalities

The video tutorial covers solving equations and inequalities in one variable, following Florida Benchmarks. It begins with an introduction to linear equations, explaining how to isolate the variable by performing opposite operations on both sides. An example of a more complex equation is provided, demonstrating the use of multiplication and division. The tutorial then transitions to solving inequalities, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The video concludes with a summary and acknowledgments.

What is the main goal when solving a linear equation?

• To eliminate all variables

• To find the value of the variable

• To balance both sides of the equation

• To simplify the equation

What is the opposite operation of subtraction?

• Multiplication

• Addition

• Division

• Subtraction

In the equation 3x = 13, what operation would you use to isolate x?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of 17 - 4?

• 21

• 13

• 14

• 11

What is the opposite operation of multiplication?

• Multiplication

• Division

• Subtraction

• Addition

Which symbol represents 'greater than'?

• ≤

• >

• ≥

• <

What is the first step in solving the inequality x + 3 > 7?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

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

• Subtract a positive number

• Add a positive number

• Flip the inequality sign

• Keep the inequality sign the same

What is the result of 8 / -2?

• -8

• 4

• 8

• -4

What does the inequality y > 4 mean?

• y is less than 4

• y is greater than 4

• y is equal to 4

• y is not equal to 4