One Variable Equations on Both Sides

Solve for X:

4x + 5 = 2x + 7

• 1/3

• 2/3

• 3

• 2

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

• Add 3 to both sides

• Get the variable on one side

• Add 11 to both sides

• Add 2 on both sides.

7x = 3x + 24

• 6

• 10

• 14

• 4

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

What is the solution to the equation?

• -2

• 0

• 1

• 2

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

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.