2.4 Algebra

• What are variables used to represent in algebra?

  Unknown values
• Equations are statements that two expressions are equal.
• Combining like terms involves adding or subtracting terms with the same variables raised to the same power.
• When distributing 2(x + 3), the term 2 is multiplied by both x and 3.
• What type of values are constants in algebra?

  Fixed
• Solve the equation 4x - 7 = 9.

  x = 4
• Solve the equation 3x = -9.

  x = -3
• Expanding 2(3x + 4) results in 6x + 8.
• What type of values are constants in algebra?

  Fixed
• Constants in algebra are fixed values that do not change
• Terms in an algebraic expression are separated by addition or subtraction
• Constants are fixed values that do not change
• What separates terms in an algebraic expression?

  Addition or subtraction
• Simplify the expression 2y + 4y.

  6y
• Factor the expression 4x + 8.

  4(x + 2)
• Expressions are combinations of variables, constants, and operations.
• Isolating the variable involves moving terms to get the variable on one side and constants on the other.

  True
• To move variables to one side in an equation, subtract 2x from both sides.
• Steps to solve linear equations with one variable

  1️⃣ Simplify the equation

  2️⃣ Isolate the variable

  3️⃣ Solve for the variable
• What is the highest common factor of 9x and 12?

  3
• Expressions are combinations of variables, constants, and operations.
• What is an algebraic expression defined as?

  Variables, constants, and operations
• What are variables in algebra used to represent?

  Unknown values
• Equations in algebra state that two expressions are equal

  True
• Combining like terms involves adding or subtracting terms with the same variables
• When distributing \(2\) in the expression \(2(x + 3)\), the term \(2 \times 3\) results in 6
• To isolate the variable, you add or subtract terms to move constants to the other side
• What is the first step to solve \(5x + 3 = 2x - 6\)?

  Subtract 2x
• What is an algebraic expression?

  Variables, constants, operations
• Combining like terms involves adding or subtracting terms with the same variables raised to the same power.

  True
• Distributing involves multiplying a term outside parentheses with each term inside.


  True
• Variables are symbols that represent unknown values.
• What is the first step in solving linear equations with one variable?

  Simplify the equation
• To solve for the variable, divide or multiply to isolate it.
• Expanding expressions involves multiplying terms outside parentheses with each term inside.

  True
• When factorizing 9x - 12, the result is 3(3x - 4).
• What are variables in algebra used to represent?

  Unknown values
• Equations in algebra state that two expressions are equal


  True
• Constants in algebra are fixed values that do not change
• Terms in an algebraic expression are separated by addition or subtraction