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

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to both sides of the equation to get the variable alone on one side.

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

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

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 word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Front

How do you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then express them using variables and mathematical operations.

Front

What is the relationship between addition and subtraction in equations?

Back

Addition and subtraction are inverse operations; adding a number can be undone by subtracting the same number.