Solving and Writing Equations with Variables 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 are variables in an equation?

Back

Variables are symbols (often letters) used to represent unknown values in mathematical expressions and equations.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting coefficients of the same variable.

Front

What is the first step in solving the equation 7x = 4x + 33?

Back

Subtract 4x from both sides to isolate the variable terms.

Front

What does it mean to write an equation to represent a situation?

Back

It means to create a mathematical expression that models the relationships and changes described in a real-world scenario.

Front

How do you represent a situation where one quantity is increasing and another is decreasing?

Back

Use variables to represent each quantity and write an equation that reflects their rates of change.

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

The solution is x = -14.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.