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 (like x, y, or d) that represent unknown values 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 equal sign.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step in solving the equation 10 - d = -34 - 5d?

Back

The first step is to add 5d to both sides to start isolating d.

Front

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

Back

The solution is x = -20.

Front

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

Back

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

Front

What is the solution to the equation 3r + 7 = 10r + 28?

Back

The solution is r = -3.

Front

What is the solution to the equation 7n + 2 = 4n + 17?

Back

The solution is n = 5.