Solving One-Step Equations: Adding and Subtracting Techniques

What is the main focus of Lesson 18 in this algebra course?

• Solving one-step equations

• Solving multi-step equations

• Graphing linear equations

• Factoring polynomials

What have students primarily been learning about before this lesson?

• Equations

• Inequalities

• Functions

• Expressions

What is an equation?

• A statement that shows a relationship between two variables

• A mathematical statement that includes only numbers

• A statement that uses an equal sign to show that two expressions are equal

• A statement that uses variables without any operations

What is the solution of an equation in one variable?

• The sum of all constants in the equation

• The value of the variable that makes the equation false

• The value of the variable that makes the equation true

• Any value that can be substituted for the variable

What is the key concept to remember when solving equations?

• Always add the same number to both sides

• Whatever you do to one side of an equation, you must do to the other side

• Always subtract the same number from both sides

• Always multiply both sides by the same number

What are equivalent equations?

• Equations that have no variables

• Equations that cannot be solved

• Equations that have the same solution set

• Equations that have different solution sets

What does the addition property of equality state?

• If you add a number to one side of an equation, the equation becomes invalid

• If you add a number to one side of an equation, you must add the same number to the other side

• If you add a number to one side of an equation, you must subtract the same number from the other side

• If you add a number to one side of an equation, you must multiply the other side by the same number

What is the inverse operation of addition?

• Subtraction

• Division

• Multiplication

• Exponentiation

How do you isolate the variable in the equation x + 6 = 9?

• Divide both sides by 6

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

What will the next video focus on?

• Solving practice problems using the concepts learned

• Discussing the history of algebra

• Introducing new algebraic concepts

• Reviewing previous lessons