Solve Equations with Distribution and Combine Like Terms

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 3(4 - 2x) + 4x = 2?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3 * 4 and 3 * -2x.

Front

Solve for h: 5h - 6 - h + 10 = 12

Back

h = 2

Front

In order for terms to be 'like', they need to have the __________________

Back

same variable and same exponent.

Front

What is the solution to the equation -(n - 8) = -2?

Back

n = 10

Front

What is the result of combining the like terms in the expression 4x + 5x - 3x?

Back

The result is 6x.

Front

What does distribution mean in mathematics?

Back

Distribution refers to multiplying a single term by each term inside a set of parentheses.

Front

Solve for x: 4x + 5x + 7 - 3x + 5 = -18

Back

x = -5.

Front

What is the solution to the equation 3(4 - 2x) + 4x = 2 after distributing?

Back

x = 5.

Front

What is the purpose of combining like terms in an equation?

Back

The purpose is to simplify the equation, making it easier to solve.