Simplifying Algebraic expressions

Front

Define like terms in algebra.

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable and exponent. For example, in 2a + 3a, you combine to get 5a.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Add the polynomials: (2x + 5y) + (3x - 2y)

Back

5x + 3y

Front

Simplify the expression: 2x + 3x - 12x

Back

-7x

Front

Simplify the expression: 10x - 3(2x + 8)

Back

4x - 24

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 4x^3 - 5x^2 + 3x is a polynomial.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any necessary operations.

Front

Simplify the expression: (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)

Back

2x^3 - 6x^2 + 9x

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.