Multi-Step Equations Word Problems

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 set up an equation from a word problem?

Back

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

Front

What does it mean for two equations to be equal?

Back

It means that both equations represent the same value or situation, allowing for comparison of different scenarios.

Front

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

Back

The first step is to simplify both sides of the equation if possible, by combining like terms or distributing.

Front

How do you isolate a variable in an equation?

Back

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

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming its accuracy.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 15 or 30 in an equation.

Front

How do you interpret the slope in a linear equation?

Back

The slope represents the rate of change between the two variables, indicating how much one variable changes for a unit change in the other.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How can you determine the number of rides needed for two fairs to cost the same?

Back

Set up an equation based on the total cost for each fair and solve for the variable representing the number of rides.