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 simplify the expression 6(2x - 3)?

Back

6(2x - 3) = 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 3a² + 6a + 5a²?

Back

8a² + 6a.

Front

How do you simplify the expression 15x + 10 - 6x - 1?

Back

15x + 10 - 6x - 1 = 9x + 9.

Front

What is the distributive property?

Back

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

Front

What is the equivalent expression for 7(3a + 4b)?

Back

21a + 28b.

Front

How do you simplify the expression 4(x + 6)?

Back

4(x + 6) = 4x + 24.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same result when evaluated for the same value of the variable.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.