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 30x - 24?

Back

You can factor it as 6(5x - 4).

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 3x + 4x + 6(x - 3) + 4?

Back

The equivalent expression is 13x - 14.

Front

How do you distribute in the expression 6(x - 3)?

Back

You multiply 6 by each term inside the parentheses: 6 * x - 6 * 3 = 6x - 18.

Front

What is the equivalent expression for 4(2x - 5) + 6x?

Back

The equivalent expression is 14x - 20.

Front

What does it mean to factor an expression?

Back

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

Front

What is the equivalent expression for 10x - 16?

Back

The equivalent expression is 8(2x - 2) - 6x.

Front

How do you simplify the expression 5x + 3(x - 6)?

Back

The simplified expression is 8x - 18.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.