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

How do you simplify the expression 3(2x + 8)?

Back

Distribute the 3: 3 * 2x + 3 * 8 = 6x + 24.

Front

What is the process of factoring an expression?

Back

Factoring an expression involves rewriting it as a product of its factors.

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying each term inside parentheses by the term outside the parentheses.

Front

How can you check if two expressions are equivalent?

Back

You can check by simplifying both expressions and seeing if they result in the same expression.

Front

What is the equivalent expression for 30x - 24?

Back

6(5x - 4).

Front

How do you factor the expression 18x - 9?

Back

Factor out the greatest common factor: 9(2x - 1).

Front

What is the equivalent expression for 10x - 16?

Back

8(2x - 2) - 6x.

Front

How do you combine like terms in an expression?

Back

Add or subtract the coefficients of the terms that have the same variable.

Front

What is the equivalent expression for 5x + 3(x - 6)?

Back

8x - 18.