Solving Equations with Variables on Both Sides Practice

Solve: -18 - 6x = 6(1 + 3x)

• x = -1

• x = 1

• No Solution

• All Real Numbers

Solve: 2(4x - 3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same. (Just type the number)

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

A letter that represents a number is called a _____.

• variable

• coefficient

• constant

• term

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2