Solving Equations and Inequalities

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 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

What operation is performed to isolate a variable in an equation?

Back

To isolate a variable, you can perform inverse operations such as addition, subtraction, multiplication, or division on both sides of the equation.

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 the first step in solving the equation 5x + 9 = 2x - 3?

Back

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

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 the solution to the inequality -3 − 6(4x + 6) > -111?

Back

x < 3.

Front

What is the solution to the equation 2(4x-3) - 8 = 4 + 2x?

Back

x = 3.

Front

What is the solution to the equation 4x + 2(x - 6) = 12?

Back

x = 4.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.