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) that represent unknown values in mathematical expressions or 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 the coefficients of terms that have the same variable raised to the same power.

Front

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

Back

The first step is to subtract 4x from both sides to get all terms with x on one side.

Front

What is the solution to the equation 7x = 4x + 33?

Back

The solution is x = 11.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and express the relationships using mathematical operations.

Front

What is the equation representing the cost of playing putt-putt at two locations?

Back

2 + 7.50x = 8 + 6x.

Front

How do you solve the equation 2 + 7.50x = 8 + 6x?

Back

Subtract 6x from both sides and then isolate x to find the number of games.