Equations Flashcard Review

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 for a variable in an equation?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 2x + 36 - 4x = -14?

Back

Combine like terms to simplify the equation.

Front

What is the solution to the equation 2.5(x + 5) = 7.5x - 0.5?

Back

x = 2.6.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

Back

a = 14.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after simplification.

Front

Back

x = -3.

Front

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

Back

Substitute the solution back into the original equation to verify that both sides are equal.

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.