Writing and Solving Equations

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 it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of isolating a variable?

Back

Isolating a variable helps to solve the equation by getting the variable alone on one side of the equation.

Front

How do 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 is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does it mean to translate a word problem into an equation?

Back

Translating a word problem into an equation involves identifying the quantities and relationships described in the problem and expressing them mathematically.

Front

What is the equation for finding the total cost if you know the price per item and the number of items?

Back

Total Cost = Price per Item × Number of Items.

Front

How can you represent a relationship between two quantities with an equation?

Back

You can represent a relationship by using variables to denote the quantities and writing an equation that shows how they relate to each other.

Front

What is the first step in solving the equation 15 = 8 + x?

Back

The first step is to isolate x by subtracting 8 from both sides of the equation.