Solving Equations With Variables on Both Sides

Front

What is the first step you should take to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

What is the solution to the equation 4( x + 2) = 16?

Back

2

Front

Select the situation that could be modeled by: 120 + 25x = 45x.

Back

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?

Front

Back

Front

What is the goal when solving an equation?

Back

Isolate the variable.

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

What is a variable in the context of an equation?

Back

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

Front

What are like terms in an algebraic expression?

Back

Terms that have the same variable raised to the same power.

Front

How do you solve the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac.