Solving Equations and Inequalities

Mrs. Yaod's Math 8 class covers solving equations with variables on both sides. The lesson includes simplifying equations, moving variables and constants, and solving for the variable. Special cases like no solution and infinite solutions are discussed, followed by practice problems and a real-world application involving movie club costs.

What is the first step in solving equations with variables on both sides?

• Simplify both sides by distributing and combining like terms

• Divide by the coefficient of x

• Move all variables to one side

• Add constants to both sides

When moving variables to one side, what should you do with the constants?

• Ignore them

• Move them to the opposite side of the variables

• Move them to the same side as the variables

• Leave them where they are

What does it mean if, after simplifying, you end up with a false statement like 3 = -7?

• The equation has no solution

• The equation has one solution

• The equation is incorrect

• The equation has infinitely many solutions

If simplifying an equation results in a true statement like -2 = -2, what does this indicate?

• The equation has no solution

• The equation has infinitely many solutions

• The equation is incorrect

• The equation has one solution

In the example where x is solved to be 2, what operation is used to isolate x?

• Addition

• Subtraction

• Multiplication

• Division

How can you verify if your solution to an equation is correct?

• By checking with a calculator

• By substituting the solution back into the original equation

• By asking a friend

• By guessing

What is the membership fee for the first movie club in the real-world problem?

• $50

• $100

• $150

• $200

How much does each movie cost in the second movie club?

• $20

• $5

• $10

• $15

What is the equation used to find when the costs of the two movie clubs are the same?

• 10m = 15m

• 100m = 15m

• 100 + 15m = 10m

• 100 + 10m = 15m

After how many movies will the cost of both movie clubs be the same?

• 10 movies

• 25 movies

• 15 movies

• 20 movies