Equivalent expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What is the result of combining 3x + 5 + 7x + 2?

Back

10x + 7

Front

How do you apply the distributive property to 5(2f + 4)?

Back

5(2f + 4) = 10f + 20.

Front

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

Back

21a + 28b.

Front

How do you represent twice the quantity of 11 less than k?

Back

2(k - 11).

Front

What is the equivalent expression for 36x + 24?

Back

2(18x + 12).

Front

What does it mean to simplify an expression?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.