3-4 Writing Multi-Step Equations from 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 represent a word problem as an equation?

Back

Identify the variables, translate the words into mathematical operations, and set up an equation that reflects the relationships described in the problem.

Front

What does it mean to find the point of equality in word problems?

Back

Finding the point of equality means determining the value at which two different expressions or scenarios yield the same result.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.

Front

How do you isolate a variable in an equation?

Back

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

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

What does 'twice the length' mean in mathematical terms?

Back

'Twice the length' means to multiply the length (L) by 2, represented as 2L.

Front

How do you set up an equation for a scenario involving costs?

Back

Identify the fixed costs and variable costs, then create an equation that equates the total costs of different options.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, indicating how many units of the variable are present.

Front

How do you translate '5 feet less than twice the length' into an equation?

Back

This translates to 2L - 5, where L is the length.