Solving Equations with Variables

Mr. Simpson introduces solving linear equations with variables on both sides, explaining the core concept and providing examples. He discusses special cases like identity and no solution, and summarizes the steps to solve such equations. The video ends with a call to practice more problems.

What is the main objective when solving equations with variables on both sides?

• To eliminate all variables

• To collect variable terms on one side and constants on the other

• To simplify both sides of the equation

• To find the value of the constant

In the first example, what operation is used to move the variable term to one side?

• Subtraction

• Addition

• Division

• Multiplication

What is the result of dividing both sides by negative 5 in the first example?

• x = 2

• x = -2

• x = -5

• x = 5

In the second example, what property is used to eliminate parentheses?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

What is the final solution for x in the second example?

• x = 26

• x = -26

• x = 0

• x = 12

What does it mean if an equation is an identity?

• It has no solution

• It is true for all values of the variable

• It is false for all values of the variable

• It has one solution

In the special case example, what happens when variable terms eliminate and a false statement remains?

• The equation is an identity

• The equation has no solution

• The equation has one solution

• The equation is undefined

What is the first step in solving equations according to the summary?

• Check the solution

• Isolate the variable

• Use the distributive property

• Simplify the expression

What should you do after moving variable terms to one side?

• Check your solution

• Simplify the expression

• Move constant terms to the other side

• Use the distributive property

What is the final step in solving equations as per the summary?

• Isolate the variable

• Check your solution

• Simplify the expression

• Use the distributive property