Equations with Multiple Variables

Front

What is an equation with multiple variables?

Back

An equation that contains two or more variables, representing a relationship between them.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How do you solve the equation 30 + 4h = 78?

Back

Subtract 30 from both sides to get 4h = 48, then divide by 4 to find h = 12.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to get -3x = 33.

Front

How do you solve the equation 30a - 24 = 5a + 26?

Back

Add 24 to both sides and subtract 5a from both sides to get 25a = 50, then divide by 25 to find a = 2.

Front

What is the equation to find when the cost of Xbox One equals the cost of Playstation 4?

Back

150 + 24x = 180 + 20x.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What does it mean to check the solution of an equation?

Back

To substitute the solution back into the original equation to verify that both sides are equal.

Front

What is a variable in mathematics?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.