Creating and Solving Equations

Front

What is an equation?

Back

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

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 an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

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 can be graphically represented as a straight line.

Front

What is the purpose of using variables in equations?

Back

Variables are used in equations to represent unknown values that can change or vary.

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 is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What does it mean to have 'twice as many' in a word problem?

Back

'Twice as many' means to multiply the quantity by 2.

Front

How do you represent '15 more than x' in an equation?

Back

It is represented as x + 15.

Front

What is the first step in solving a word problem involving equations?

Back

The first step is to identify the variables and what they represent in the context of the problem.