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

What is the first step in solving the equation 4x + 3 = -5?

Back

Subtract 3 from both sides to isolate the term with the variable: 4x = -8.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 4x + 3 = -5?

Back

x = -2.

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 graphs as a straight line.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that satisfy the equation, often occurring when the equation simplifies to a true statement.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the value found for the variable satisfies the original equation.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10.