Solving Equations and Inequalities

The video tutorial covers solving equations with variables on each side, emphasizing the importance of isolating variables to find solutions. It includes practice problems and demonstrates the use of the distributive property. Special cases, such as equations with no solutions or infinite solutions, are also discussed. The tutorial concludes with a discussion on real numbers and their role in solving equations.

What is the main focus of the video tutorial?

• Solving quadratic equations

• Solving linear inequalities

• Solving equations with variables on one side

• Solving equations with variables on each side

When isolating a variable, what should you do to both sides of the equation?

• Multiply by zero

• Perform the same operation

• Subtract different numbers

• Add the same number

In the example problem, what is the first step to solve for k?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the final value of k in the example problem?

• -4

• 4

• 2

• -2

In the practice problem, what operation is performed to move 3w to the right side?

• Multiplication

• Division

• Subtraction

• Addition

What is the value of w in the practice problem?

• 1/4

• 1/2

• 3/4

• 1

What property is used to solve equations in the section on the distributive property?

• Identity Property

• Associative Property

• Commutative Property

• Distributive Property

In the example problem using the distributive property, what is the first step?

• Divide by 18

• Add 18 to both sides

• Multiply by 18

• Subtract 18 from both sides

What is the final value of m in the example problem?

• 3

• 2

• 1

• 0

In the practice problem, what is the first step to solve for p?

• Multiply by 10

• Subtract 10 from both sides

• Add 10 to both sides

• Divide by 10