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Algebraic Techniques
Algebraic Techniques
This unit focuses on algebraic expressions, simplifying them by collecting like terms, solving simple equations (one-step, using inverse operations), and using letters to represent unknown numbers.
Cummulative multiplication
Cummulative multiplication
This law states that the order of operations does not change the result, particularly addition and multiplication. For example, 3 + 4 = 4 + 3, and 3 × 4 = 4 × 3.
Associative Law
Associative Law
This law states that when you are adding or multiplying several numbers, the way you group them (using parentheses) does not change the result. For addition, this means a + (b + c) = (a + b) + c, and for multiplication, it means a(bc) = (ab)c.
Like terms
Like terms
Terms in an algebraic expression that have the same variables raised to the same powers. For example, 3x and 5x are like terms, while 3x and 3x² are not. Like terms can be combined by adding or subtracting their coefficients.
unlike terms
unlike terms
Algebraic terms that have different variables or the same variables raised to different powers. For example, 2x and 3y are unlike terms because they have different variables, while 2x and 2x² are unlike terms because they have the same variable but different exponents. Unlike terms cannot be combined through addition or subtraction.
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