Solving Equations Like Terms and Variables on 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?

• -6=3x-9

• 3=3x

• 1=x

• 2x-6=5x-9

Tags

CCSS.8.EE.C.7B

Solve the equation for d. 
d / t = r

• d = r / t

• d = t / r

• d = rt

• d = r - t

Tags

CCSS.HSA.CED.A.4

Solve for X. 3x + 15 - 7x = -7

• x = 2

• x =-4/5

• x = -2

• x = 5 1/2

Tags

CCSS.8.EE.C.7B

Solve for X. 4 + x - 17 = 22

• x = -35

• x = 35

• x = 1

• x = 9

Tags

CCSS.6.EE.B.7

Solve for x. 2x + 18 - 1 = 33

• x = 7

• x = 25

• x = 8

• x = 21

Tags

CCSS.7.EE.B.4A

-20 = -4x - 6x

• x = 2

• x = -2

• x = -10

• x = 10

Tags

CCSS.8.EE.C.7B

5p - 14 = 8p + 4

• p = 6

• p = 10/13

• p = -6

• p = -18/13

2z - 1 = -9 + z

• z = 10/3

• z = 8

• z = -10

• z = -8