Q1
Simplifying 5x+3x gives:
A8x
B15x
C8x²
D15x²
CBSEClass 8 (CBSE)MathematicsCh 13 · Topic 1
Simplifying Algebraic Expressions
Learning to combine like terms to simplify algebraic expressions.
Core concept
Simplifying an expression by combining like terms makes it shorter and easier to work with in further calculations — for example, 4y + 3x - 2y simplifies to 2y + 3x by combining the two y-terms (4y-2y=2y), leaving the x-term unchanged since there's no other x-term to combine with it. This simplification skill is used constantly throughout algebra, from solving equations to working with more complex polynomial expressions in higher classes.
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• Like terms have the same variable(s) raised to the same power(s).
• Like terms are combined by adding/subtracting their coefficients (e.g., 3x+5x=8x).
• Unlike terms (different variables or powers) cannot be combined directly.
• Simplifying by combining like terms makes expressions shorter and easier to work with.