Multi-Step Equations Word Problems Test

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 is the first step in solving the equation 3x - x + 4 = 4(2x + 1)?

Back

The first step is to simplify both sides of the equation by combining like terms and distributing.

Front

What does it mean to solve for x?

Back

To solve for x means to find the value of x that makes the equation true.

Front

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

Back

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

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

If the length of a rectangle is 5 less than twice the width, how can this relationship be expressed algebraically?

Back

This relationship can be expressed as L = 2W - 5, where L is the length and W is the width.

Front

What is the formula for the perimeter of a rectangle given its dimensions?

Back

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

Front

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

Back

To set up an equation from a word problem, identify the variables, translate the words into mathematical expressions, and write an equation that represents the situation.

Front

What is the solution to the equation -4 = x/5 + 6?

Back

The solution is x = -50.