Like terms
Analyze like terms in Grade 9 math — Explanation Think of variables as different types of fruit. Part of Functions and Graphing for Grade 9.
Key Concepts
Property Like terms have the same variable(s) raised to the same power(s).
Examples In the expression $8y + 4 + 2y 1$, the like terms are $8y$ and $2y$, and the constants $4$ and $ 1$. $5x^2$ and $ 2x^2$ are like terms because they share the variable $x$ raised to the power of 2. $6a$ and $6b$ are NOT like terms because their variables are different.
Explanation Think of variables as different types of fruit. You can add three apples and five apples to get eight apples ($3x + 5x = 8x$), but you can't add three apples and five bananas ($3x + 5y$). Like terms are the same 'fruit'—they must have the exact same variable and exponent to be combined.
Common Questions
What is 'Like terms' in Grade 9 math?
Explanation Think of variables as different types of fruit. You can add three apples and five apples to get eight apples ($3x + 5x = 8x$), but you can't add three apples and five bananas ($3x + 5y$).
How do you solve problems involving 'Like terms'?
You can add three apples and five apples to get eight apples ($3x + 5x = 8x$), but you can't add three apples and five bananas ($3x + 5y$). Like terms are the same 'fruit'—they must have the exact same variable and exponent to be combined.
Why is 'Like terms' an important Grade 9 math skill?
Common mistake tip: A very common mistake is trying to combine terms with the same variable but different exponents, like $4x^2$ and $6x$.. Think of $x^2$ as 'large boxes' and $x$ as 'small boxes'—you can't add them together and call them the same thing.