2.4 Algebra

• What is algebra?

  Branch using variables
• What is the purpose of variables in algebra?

  Represent unknown quantities
• Constants in algebra have fixed values.


  True
• Simplifying algebraic expressions involves combining like terms.


  True
• What are variables used to represent in algebra?

  Unknown quantities
• What is the rule for multiplying like terms in algebra?

  Multiply coefficients and exponents
• In the algebraic expression '2y - 7', the constant is -7
• Combining like terms involves adding or subtracting their coefficients while keeping the variables and exponents the same.


  True
• When multiplying like terms, you multiply coefficients and add exponents.

  True
• What is the simplified form of the expression `3x + 2y - 5 + 4x - 2y + 7`?

  7x + 2
• Variables in algebra represent unknown quantities, while constants have fixed values.


  True
• Simplifying algebraic expressions involves combining like terms.
• In algebra, variables are represented by letters
• What is an algebraic expression?

  Expression with variables
• What is the rule for adding like terms in algebra?

  Add coefficients
• An algebraic expression combines variables and constants using mathematical operations
• Match the term with its definition:

  Variable ↔️ Letters representing unknown quantities

  Constant ↔️ Fixed values in expressions
• What is the primary goal of simplifying algebraic expressions?

  Combining like terms
• To combine like terms in addition, add their coefficients
• Identify the like terms in the expression `3x + 2y - 5 + 4x - 2y + 7`.

  3x and 4x, 2y and -2y
• When expanding algebraic expressions, multiply each term inside the parentheses by the term outside
• A variable is a letter used to represent an unknown or changing quantity
• When adding like terms, you add their coefficients.


  True
• Expanding algebraic expressions involves multiplying each term inside the parentheses by the term outside.
• The factored form of `4x + 8` is `4(x + 2)`.


  True
• What is the first step in expanding an algebraic expression?

  Multiply each term
• What is the result of expanding 2(x + 3)?

  2x + 6
• Linear equations involve variables raised to the power of one

  True
• To solve 2x + 5 = 11, you first subtract 5
• To solve a linear equation, the first step is to isolate the variable term
• Equations show equivalence, while inequalities show a relationship of magnitude
• When must you reverse the inequality sign when solving a linear inequality?

  Multiplying or dividing by a negative number
• To solve a linear inequality, the first step is to isolate the variable term
• The example of an algebraic expression is 3x + 2y - 5
• To subtract like terms, you subtract their coefficients
• The term '5' in the expression '3x + 5' is a constant.


  True
• To combine like terms in subtraction, subtract their coefficients
• Steps to simplify the expression `3x + 2y - 5 + 4x - 2y + 7`

  1️⃣ Identify the like terms

  2️⃣ Add the coefficients of x terms

  3️⃣ Subtract the coefficients of y terms

  4️⃣ Add the constant terms

  5️⃣ Combine the results
• What is the factored form of the expression `4x + 8`?

  4(x + 2)
• Provide an example of a constant in the expression `3x + 5`.

  5