Equation Word Problems Flashcard Block 1

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of writing an equation from a word problem?

Back

To translate a real-world scenario into a mathematical expression that can be solved.

Front

How do you identify the fixed cost in a word problem?

Back

The fixed cost is the amount that does not change regardless of the quantity, often represented as a constant in the equation.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable in an equation.

Front

How do you determine the total cost in a word problem involving rates?

Back

Add the fixed cost to the product of the variable (hours, miles, etc.) and the rate.

Front

What is the first step in solving a word problem?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Front

What does it mean to isolate the variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.