Equivalent expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you distribute in an expression?

Back

To distribute means to multiply each term inside the parentheses by the term outside the parentheses.

Front

What is the result of distributing 6 in the expression 6(2x - 3)?

Back

The result is 12x - 18.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the equivalent expression for 4(x + 6)?

Back

The equivalent expression is 4x + 24.

Front

How do you combine the terms 6y + 22y + y?

Back

You add the coefficients of the like terms: 6 + 22 + 1 = 29, resulting in 29y.

Front

What is the equivalent expression for 15x + 10 - 6x - 1?

Back

The equivalent expression is 9x + 9.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the equivalent expression for 3a² + 6a + 5a²?

Back

The equivalent expression is 8a² + 6a.

Front

What is the importance of understanding equivalent expressions in algebra?

Back

Understanding equivalent expressions is crucial for solving equations, simplifying expressions, and performing algebraic operations.