Equivalent Expressions

Front

What is an equivalent expression?

Back

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

Front

Simplify the expression: 10x + 8.

Back

10x + 8 is already in its simplest form.

Front

Which expression is equivalent to 10x + 8?

Back

2(5x + 4)

Front

Are the expressions 4(y - 1) and 1 + 4y equivalent?

Back

No, they are not equivalent.

Front

Simplify the expression: 5(x - 2) + 15.

Back

5x + 5

Front

What is the sum of the coefficients in the expression 6y + 22y + y?

Back

The sum of the coefficients is 29.

Front

Which expression is equivalent to 2x + 3?

Back

3x - x + 3

Front

What does it mean for two expressions to be equivalent?

Back

It means they yield the same result for any value of the variable(s).

Front

How do you determine if two expressions are equivalent?

Back

You can simplify both expressions and see if they result in the same expression.

Front

What is the process of simplifying an expression?

Back

The process involves combining like terms and performing operations to reduce the expression to its simplest form.