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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step in solving the equation 3m - 4 = 5m + 10?

Back

The first step is to get all terms involving the variable on one side and constant terms on the other side. This can be done by subtracting 5m from both sides.

Front

How do you combine like terms in the equation 2x - 3 + 4x = 27?

Back

You combine like terms by adding the coefficients of the same variable. In this case, 2x and 4x combine to make 6x.

Front

What is the solution to the equation 4x + 5x = 27?

Back

The solution is x = 3, found by combining like terms to get 9x = 27 and then dividing both sides by 9.

Front

Back

To isolate x, first multiply both sides by 6 to eliminate the fraction, then add 3 to both sides.

Front

What is the solution to the equation (2x - 3) / 4 = 9?

Back

The solution is x = 19.5, found by multiplying both sides by 4 and then solving for x.

Front

What does it mean to 'isolate the variable' in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

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 set of parentheses.

Front

How do you check your solution after solving an equation?

Back

You check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.