Properties 6.7D

Front

What is the distributive property in algebra?

Back

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

Front

How do you simplify the expression 6 + 2(7x - 3)?

Back

First, apply the distributive property: 6 + 14x - 6 = 14x.

Front

What is the result of simplifying 3(x + 4)?

Back

Using the distributive property, 3(x + 4) simplifies to 3x + 12.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you simplify the expression 7(x + 3)?

Back

Using the distributive property, 7(x + 3) simplifies to 7x + 21.

Front

What is the simplified form of 3(x + 6)?

Back

3(x + 6) simplifies to 3x + 18 using the distributive property.

Front

How do you simplify the expression -6(x - 2)?

Back

Using the distributive property, -6(x - 2) simplifies to -6x + 12.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is usually to apply the distributive property to eliminate the parentheses.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions and makes them easier to work with.

Front

What is a like term in algebra?

Back

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