Algebraic Expressions and Identities Practice
Solve chapter-level practice questions for Algebraic Expressions and Identities with reveal-only solutions and quick revision support.
Practice Set 1 — Terms and Multiplication
Like terms, adding expressions, and multiplying monomials and polynomials.
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Practice Set 2 — Using Identities
Applying the standard identities to expand and to compute.
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Quick Q&A Before You Revise
What is the difference between an identity and an equation?
An equation is true only for particular value(s) of the variable (e.g. x + 2 = 5 only when x = 3). An identity is true for every value of the variable (e.g. (a + b)² = a² + 2ab + b²).
Can we add 3x and 3x²?
No. They are unlike terms because the powers of x are different. Only like terms (same variables with the same powers) can be combined.
How do identities help in mental calculation?
Numbers can be written as sums or differences of round numbers, then an identity turns a hard multiplication into easy squares or a difference of squares — e.g. 46 × 54 = (50 − 4)(50 + 4) = 2500 − 16 = 2484.