Combining Like Terms With Exponents
Combine like terms that contain variables with exponents in Grade 9 Algebra. Match both the variable base and the exponent before adding or subtracting coefficients.
Key Concepts
Property To combine like terms with exponents, the variable and its power must match exactly: $ax^n + bx^n = (a+b)x^n$.
Examples $x^4 + y^2 + x^4 + y^2 = (1+1)x^4 + (1+1)y^2 = 2x^4 + 2y^2$ $4m^3 3m^3 + 5m^3 = (4 3 + 5)m^3 = 6m^3$ $3x^2y^4 9y^4x^2 + xy = (3 9)x^2y^4 + xy = 6x^2y^4 + xy$.
Explanation Welcome to the big leagues! The rule is the same, but now the 'family name' includes the exponent. A term like $k^3$ is in a completely different family from $k^2$. You can only combine terms if their variable and exponent are identical. Remember, when you combine them, the exponent does not change!
Common Questions
What is Combining Like Terms With Exponents in Grade 9 Algebra?
This skill covers Combining Like Terms With Exponents in Grade 9 Algebra. Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Combining Like Terms With Exponents problems step by step?
Practice Combining Like Terms With Exponents with step-by-step examples. Use this method consistently to avoid common errors.
What is a common mistake when studying Combining Like Terms With Exponents?
Mastering Combining Like Terms With Exponents builds a strong algebra foundation. Always check your work by substituting back into the original problem.