Solving Equations

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 an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What is the first step in solving the equation 12 - 4x - x = 2?

Back

Combine like terms: 12 - 5x = 2.

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 -3(2c - 5) = 15?

Back

The solution is c = 0.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 6x - 7 = 12?

Back

The solution is x = 19/6.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

What is the solution to the equation 3x - 4(2 + 3x) = 82?

Back

The solution is x = -10.