Solving Equations with Variables on Both Sides with One Solution

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

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

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

The goal when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

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

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

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

• 15 - 10 = 2.5x + 3x

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

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

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

• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

• 2x-6=5x-9

• -6=3x-9

• 3=3x

• 1=x

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

• f = -5

• f = 5

• f = 6

• f = -6

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6

• x = 6

• x = 3

Solve:
5y+34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19