Solving Equations - Combining Like Terms & Distributive Property

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 combine like terms in an expression?

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 first step in solving the equation 3(3x - 7) = 24?

Back

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

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

If 3(3x - 6) = 18, what is the value of x?

Back

x = 4.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation -15 + 3x - 7x = -43?

Back

x = 7.

Front

What is the purpose of using parentheses in an equation?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

What is the result of combining the like terms 5x + 3x?

Back

The result is 8x.

Front

What is the equation for the distributive property applied to 2(4 + x)?

Back

The equation is 8 + 2x.