Solving equations and inequalities with variables on both sides

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 are the steps to solve an equation with variables on both sides?

Back

1. Simplify both sides if necessary. 2. Move all variable terms to one side. 3. Move constant terms to the other side. 4. Solve for the variable.

Front

What is an inequality?

Back

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

Front

How do you solve an inequality?

Back

To solve an inequality, follow similar steps as solving an equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does 'x > 9' mean?

Back

It means that the value of x is greater than 9.

Front

What does 'x < -3' mean?

Back

It means that the value of x is less than -3.

Front

How do you check if your 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 the solution to the equation 5x + 6 = 2x + 96?

Back

x = 30.