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

How do you isolate a variable in an equation?

Back

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

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 2x + 5 = 15?

Back

The first step is to subtract 5 from both sides of the equation to begin isolating the variable x.

Front

What is the solution to the equation 4 - 2(x - 3) = 24?

Back

The solution is x = -7.

Front

How do 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 is the equation for a situation where a music app charges a flat fee plus a per-song fee?

Back

The equation is y = 1.29x + 2, where y is the total cost, x is the number of songs downloaded, and 2 is the flat fee.

Front

How do you set up an equation for a word problem?

Back

Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation.

Front

What is the total number of students if 361 students went on a trip and 4 traveled separately?

Back

The total number of students is 361.

Front

How do you find the number of students per bus if there are 7 buses and 361 students?

Back

Divide the total number of students by the number of buses: 361 ÷ 7 = 51.