Unit 2 Review Equations, Inequalities

Front

What is an equation?

Back

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

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 9x - 7 = 5x + 5?

Back

The solution is x = 3.

Front

How do you check if a solution to an equation is correct?

Back

Substitute the solution 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 is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to express general relationships and solve for specific values.

Front

What is the first step in solving the equation 15x + 590 = 20x + 545?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

What does it mean when two expressions are equal?

Back

It means that they have the same value for the same variable(s) in the equation.