Solving Equations and Inequalities

This video tutorial reviews solving equations and inequalities, covering one-step and two-step equations, equations with variables on both sides, and inequalities. It includes special cases like no solution or all real numbers, and demonstrates graphing solutions.

What is the main focus of this set of notes?

• Geometry basics

• Advanced algebra techniques

• Review of solving equations and inequalities

• Introduction to calculus

What operation should be performed first to solve x + 5 = 21?

• Multiply both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 5

After subtracting 32 from both sides in the equation 32 - R = 16, what is the next step?

• Divide both sides by -1

• Multiply both sides by -1

• Add 32 to both sides

• Subtract 16 from both sides

How do you solve the equation 1/4n = 12?

• Divide both sides by 4

• Multiply both sides by 1/4

• Add 4 to both sides

• Multiply both sides by 4

What is the first step in solving 7x - 2 = -37?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 7

• Divide both sides by 7

In the equation 10b - 6b - 3 = 9, what should be done first?

• Multiply both sides by 10

• Subtract 3 from both sides

• Add 3 to both sides

• Combine like terms

What property is used to solve 5(x + 3) = -30?

• Distributive property

• Commutative property

• Identity property

• Associative property

What is the first step in solving 5x - 21 = -2x + 28?

• Subtract 2x from both sides

• Add 2x to both sides

• Subtract 21 from both sides

• Add 21 to both sides

In the equation -3n - 2(n + 4) = -6n - 5, what should be done first?

• Add 5 to both sides

• Subtract 5 from both sides

• Distribute -2

• Combine like terms

How do you solve the inequality 2x - 3 < 7 + 3x?

• Add 3x to both sides

• Subtract 3x from both sides

• Add 2x to both sides

• Subtract 2x from both sides