Solving 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 an equation.

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

What is the first step in solving the equation 8v + 1 = 7v - 20?

Back

Subtract 7v from both sides to begin isolating the variable.

Front

What is the solution to the equation 8v + 1 = 7v - 20?

Back

The solution is v = -21.

Front

How do you handle constants when solving equations?

Back

You can move constants from one side of the equation to the other by adding or subtracting them.

Front

What is the solution to the equation 2x + 46 = -3x - 54?

Back

The solution is x = -20.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify expressions by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 10 - d = -34 - 5d?

Back

The solution is d = -11.