Solve Equations w/ Like Terms

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

Front

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, in the expression 2x + 3x, you combine them to get 5x.

Front

What is the first step in solving an equation with like terms?

Back

The first step is to combine all like terms on one side of the equation to simplify it.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to solve equations?

Back

You apply the distributive property by multiplying the term outside the parentheses by each term inside the parentheses, then simplifying the equation.

Front

What is the solution to the equation 2x + 3x + 4 = 44?

Back

The solution is x = 8.

Front

What is the solution to the equation 8x - 6x + 4 + 5 = 19?

Back

The solution is x = 5.

Front

What is the solution to the equation 3h - 5h + 11 = 17?

Back

The solution is h = -3.