Generate Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression, even though they may look different.

Front

How do you simplify an expression?

Back

To simplify an expression, combine like terms and perform any operations to reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms in an expression 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 number across a sum.

Front

How can you use the distributive property to simplify 3(2 + 4)?

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting terms that have the same variable and exponent.

Front

If you have the expression 5x + 3x, what is the simplified form?

Back

The simplified form is 8x.

Front

What is the first step in simplifying the expression 2(x + 3) + 4?

Back

The first step is to use the distributive property: 2(x) + 2(3) + 4.

Front

What is the value of the expression 4(3 + 5) when simplified?

Back

4(3 + 5) = 4*3 + 4*5 = 12 + 20 = 32.

Front

How do you identify equivalent expressions?

Back

You can identify equivalent expressions by simplifying both expressions and checking if they have the same value.