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 variables involved.

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

How do you apply the distributive property to 5(a + b)?

Back

You multiply 5 by both a and b, resulting in 5a + 5b.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of 20 and 16?

Back

The GCF of 20 and 16 is 4.

Front

What is the equivalent expression for 3(v - 2)?

Back

The equivalent expression is 3v - 6.

Front

How do you combine like terms in the expression 7s + 8t + 10s + 12t?

Back

You add the coefficients of like terms: (7s + 10s) + (8t + 12t) = 17s + 20t.

Front

What is the process to factor the expression 30d + 18?

Back

You can factor out the GCF, which is 6, resulting in 6(5d + 3).

Front

What does it mean to simplify an expression?

Back

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

Front

What is the equivalent expression for 4(5b + 4c)?

Back

The equivalent expression is 20b + 16c.