Solving Equations - Combining Like Terms & Distributive Property

Front

What is the first step to solve the equation 4h + 3 - 2h = 15?

Back

Combine Like Terms.

Front

What property must you use to eliminate the parentheses in an equation?

Back

Distributive Property.

Front

Solve for a in the equation 20 = 2 - a.

Back

a = -18.

Front

What is the first step in solving for the variable in the equation 4x + 6 + 3 = 17?

Back

Combine Like Terms.

Front

Solve for r in the equation \frac{r}{2} + 4 = 8.

Back

r = 8.

Front

What are like terms?

Back

Terms that have the same variable raised to the same power.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

How do you combine like terms in the expression 3x + 5x?

Back

You add the coefficients: 3x + 5x = 8x.

Front

What is the first step in solving the equation 2(x + 3) = 14?

Back

Use the Distributive Property to eliminate parentheses.

Front

What does it mean to collect variables to one side of the equation?

Back

It means to rearrange the equation so that all variable terms are on one side and constant terms are on the other.