Literal Equations 5.2

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to isolate that variable on one side of the equation, expressing it in terms of the other variables.

Front

What is the first step in solving the equation 3G + 8 = 32 for G?

Back

Multiply each side by 3.

Front

What is the first step in solving the equation 4x + 8 = 32 for x?

Back

Divide both sides by 4.

Front

What is the first step in solving the equation x + 7 = 14 for x?

Back

Subtract 7 from both sides.

Front

What is the purpose of isolating a variable in an equation?

Back

Isolating a variable allows you to express it in terms of other variables, making it easier to understand relationships between them.

Front

What operation would you perform first to solve the equation 2x - 4 = 10?

Back

Add 4 to both sides.

Front

How do you check if your solution for a variable is correct?

Back

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

Front

What is the result of solving the equation 5y = 20 for y?

Back

y = 4.

Front

What is the first step in solving the equation 6z + 12 = 30 for z?

Back

Subtract 12 from both sides.