8th Grade 2.4 Solving Equations with Variable 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.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears in expressions on both sides of the equality sign.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

The first step is to move all terms involving f to one side of the equation.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

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 significance of the equation x + 2 = x + 4?

Back

This equation has no solution because it simplifies to a false statement (2 = 4).

Front

How do you set up an equation to compare two different rates?

Back

You set up an equation by equating the total costs from both rates to find when they are equal.