Writing Equations from Word Problems

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does 'x' represent in an equation?

Back

In an equation, 'x' usually represents an unknown value that we are trying to solve for.

Front

How do you translate a word problem into an equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 800 or 5 in the equations.

Front

What is the purpose of using variables in equations?

Back

Variables allow us to represent unknown quantities and solve problems involving those quantities.

Front

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

Back

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

Front

What does the term 'total cost' refer to in word problems?

Back

Total cost refers to the overall amount spent, which can include fixed costs and variable costs.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.