What does it mean to combine like terms?
Like terms are terms in an expression that have the same variable and the same exponent. To combine like terms, add the numerical coefficients of the like terms and keep the same variable and exponent. For example, 2x + 3x = 5x
Combining Like Terms
Combining like terms is the process of adding or subtracting two terms that have the same variable with the same exponent. The distributive property is used to combine like terms. This means multiplying everything inside the parentheses by the number outside the parentheses. Simplifying an expression is the process of combining like terms and reducing the expression to its simplest form.
Concepts:
Combining like terms is a form of symbolic manipulation used in algebraic manipulation, which is also used in computer programming. In computer programming, the same process of combining like terms is used to improve the efficiency of an algorithm. Combining like terms is used in cryptography to help make it harder for hackers to decipher encrypted messages.
Did you know?
Work together in pairs: What is the result when you combine the like terms 2x + 3x?
Can you simplify the following expression by combining like terms: 2x + 3x - 5x + 4?
Work together in pairs: What is the result of combining the terms 6x + 4x?
Brain break: Draw a cow with wings and a tutu jumping over a rainbow
What is the result of combining 3x and 5x?
What is the simplified form of 4y - 2y + 6y?
What is the simplified form of 10a + a?
Which expression represents combining like terms: 2(3m+5n) - m
What are the like terms in this expression: (4p + q + p) - (q + p)?
- 4p, q, and p
- none of them are like terms
- q and p only