Solving Equations with Variables on Both Sides

What should you do if you see an equation like "3x-2>18" on a test?

• Run

• Isolate the variable on one side of the equation

• Subtract 18 from each side.

• Perform a statistical analysis

When a variable is multiplied by a number, what operation do you use to isolate the variable?

• Addition

• Subtraction

• Multiplication

• Division

What is the purpose of using inverse operations in solving equations?

• To complicate the equation further

• To create a new equation

• To isolate a variable

• To graph the equation

How can you take apart an equation to solve for a variable?

• By adding, subtracting, multiplying, or dividing to eliminate numbers on the variable side

• By only adding numbers to both sides of the equation

• By only multiplying numbers on the variable side

• By dividing the entire equation by the variable

What must you do to both sides of the equation when you do something to one side?

• Nothing, only one side needs to be changed

• Do the opposite

• Do the same thing

• Multiply by zero

What should you use to isolate a variable in an equation?

• Only addition

• Only multiplication

• Inverse operations

• Only division

What operation should be used to reverse division when solving variable equations that contain division?

• Addition

• Subtraction

• Multiplication

• None of the above

Which of the following is a variable relation?

• 3+x≤5

• 3+x

• 1+1=2

• ½(bh)

400 students came to a picnic. Some were freshmen and the rest were sophomores. Each freshman ate three cookies and each sophomore ate five cookies.
If a total of 1,760 cookies were eaten by students at this picnic, which equation below could help you find how many were freshmen?

• 3x + 5(400 − x) = 1,760

• 3(400 − x) + 5x = 1,760

• 3x + 5(x − 400) = 1,760

• 3(x  − 400) + 5x = 1,760