Adding/Subtracting Algebraic Expressions (Junior Cert Mathematics): Flashcards

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Adding/Subtracting Algebraic Expressions
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Variables in algebra

Symbols (usually letters) that represent numbers

Algebraic expression

Mathematical phrase with numbers, variables, and operation signs

Like terms definition

Terms with same variable raised to same power

Step 1: Add/subtract algebraic expressions

Identify like terms (same variable, same exponent)

Step 2: Add/subtract algebraic expressions

Combine the coefficients of like terms

Step 3: Add/subtract algebraic expressions

Write expression with new coefficients

Example of like terms

3x3x and 2x2x (both contain variable xx)

Constant terms

Numbers without variables (e.g., −1-1 and 55)

Sign rule: subtracting a negative

Same as adding (e.g., 5b−(−2b)=5b+2b5b-(-2b)=5b+2b)

Quadratic terms example

x2x^2 terms

Exam tip: Why double-check signs?

They affect final coefficients when adding/subtracting

Exam tip: Why align like terms?

Makes it easier to add/subtract correctly

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