2.2 Equations and Inequalities

• Expressions contain an "equals" sign.

  False
• To solve a linear equation, we use inverse operations
• Match the inverse operation with its pair:

  Addition ↔️ Subtraction

  Multiplication ↔️ Division
• Steps to solve multi-step equations with variables on both sides:

  1️⃣ Combine Like Terms

  2️⃣ Move Variables to One Side

  3️⃣ Isolate the Variable
• Expressions do not contain an "equals" sign
• Match the inverse operation with its description:

  Addition ↔️ Subtract from both sides

  Division ↔️ Multiply both sides
• Expressions contain an equals sign.

  False
• One-step equations are solved by performing a single operation to isolate the variable
• Steps to solve multi-step equations with variables on both sides:

  1️⃣ Combine like terms

  2️⃣ Move variables to one side

  3️⃣ Isolate the variable
• What is the first step in solving multi-step equations with variables on both sides?

  Combine like terms
• Match the inequality symbols with their meanings:

  < ↔️ Less than

  >> ↔️ Greater than

  ≤ ↔️ Less than or equal to

  ≥ ↔️ Greater than or equal to
• What does the symbol '>' represent in inequalities?

  Greater than
• Steps to solve a simple linear inequality:

  1️⃣ Isolate the variable

  2️⃣ Divide by the coefficient

  3️⃣ Represent the solution
• Match the type of compound inequality with its example:

  And ↔️ x > 2 and x < 5

  Or ↔️ x < 1 or x > 4
• To solve the inequality $2x +$$3 < 7$, the first step is to subtract 3
• What is the solution to the inequality $2x +$$3 < 7$?


  $x < 2$
• The solution to $- 3x > 9$ is $x < - 3$.


  True
• What are compound inequalities connected by?

  And or or
• An "or" inequality requires the solution to satisfy at least one condition.


  True
• What mathematical operation is used for "or" inequalities to combine solutions?

  Union
• What are variables in algebra represented by?

  Letters
• An equation is an expression set equal to another expression or a constant
• What type of sign do equations always contain?

  Equals
• What is the purpose of inverse operations in solving one-step equations?

  Isolate the variable
• The solution to 3y = 18 is y = 6.


  True
• Give an example of a constant in algebra.

  5
• Equations can be solved for their variables.


  True
• What does an expression consist of?

  Variables and constants
• What is the key difference between expressions and equations?

  Equations can be solved
• Match the inverse operations:

  Addition ↔️ Subtraction

  Multiplication ↔️ Division
• What is the inverse operation of subtracting a constant?

  Adding the constant
• To undo dividing, you must multiply
• Moving variables to one side involves using inverse operations.


  True
• To isolate the variable in a multi-step equation, use inverse operations
• The symbol '≤' means less than or equal to
• Multiplying by a negative number requires reversing the inequality sign
• What does an "and" compound inequality require?

  Both conditions satisfied
• When dividing by a positive number, the inequality sign remains the same.


  True
• When dividing by a negative number, the inequality sign must be reversed
• Match the type of compound inequality with its example:

  And Inequality ↔️ $x > 2 \text{ and } x < 5$

  Or Inequality ↔️ $x≤0 \text{ or } x≥3$