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 the equation 3x + 2(4x - 4) = 3?

Back

The first step is to distribute the 2 into the parentheses: 3x + 8x - 8 = 3.

Front

How do you isolate the variable in the equation 2x + 3(5x - 7) = 47?

Back

Combine like terms and then isolate x by moving constants to the other side and dividing by the coefficient of x.

Front

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

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

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

Back

The solution is n = 10.

Front

How can you check if your solution to an equation is correct?

Back

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

Front

What equation represents the situation: Donald washes cars for $13 each and made $156?

Back

The equation is 13c = 156, where c is the number of cars washed.

Front

What is the value of x in the equation 2x + 3(5x - 7) = 47?

Back

The value of x is 4.

Front

What is the process of solving a multi-step equation?

Back

The process involves simplifying both sides of the equation, isolating the variable, and solving for the variable.

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 and all other terms are on the opposite side.