Word Problems with Inequalities and Equations

Mr. Addit introduces algebraic equations and variables, demonstrating how to solve word problems using algebra. The video covers two examples: calculating the remaining laps Leo needs to swim and determining the total number of books in Milo's collection. The process involves setting up equations, isolating variables, and performing operations to find solutions. The video concludes with encouragement for students to apply these skills.

What is a variable in an algebraic equation?

• A fixed value in an equation

• A symbol for addition

• A letter representing an unknown value

• A number that is always constant

In the equation x + 12 = 30, what operation should be performed to isolate x?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by 12

• Multiply both sides by 12

How many more laps does Leo need to swim to complete his goal?

• 30 laps

• 18 laps

• 12 laps

• 24 laps

What is the first step in solving the equation x - 15 = 24?

• Multiply both sides by 15

• Add 15 to both sides

• Subtract 15 from both sides

• Divide both sides by 15

How many books does Milo have in his entire collection?

• 39 books

• 24 books

• 30 books

• 15 books

What operation is the opposite of subtraction?

• Addition

• Exponentiation

• Division

• Multiplication

What should you remember when performing operations on both sides of an equation?

• Only change one side

• Do the same operation to both sides

• Change the variable's value

• Ignore the variable