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 isolate a variable in an equation?

Back

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

Front

What does it mean to solve a word problem?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving that equation.

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 check your solution to an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is a consecutive number?

Back

Consecutive numbers are numbers that follow each other in order, with a difference of one between them.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found by adding the lengths of all four sides, or using the formula P = 2(length + width).

Front

What is the relationship between the length and width in a rectangle if the length is defined in terms of the width?

Back

If the length is defined in terms of the width, it means that the length can be expressed as a function of the width, such as L = 3W - 5.

Front

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

Back

Identify the unknowns, define them with variables, and translate the relationships and conditions described in the problem into an equation.

Front

What is the sum of two numbers if one number is defined in terms of the other?

Back

If one number is defined as a function of the other, you can express their sum as an equation, such as x + (2x + 18) = total.