Solving Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to use distribution if necessary, to eliminate parentheses.

Front

What does it mean to combine like terms?

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the solution to the equation 3(4r - 1) + 5 = 26?

Back

The solution is r = 2.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

What is the second step in solving multi-step equations?

Back

The second step is to combine like terms to simplify the equation.

Front

What is the final solution to the equation 3x - x + 2 = 4(2x - 1)?

Back

The final solution is x = 1.