Solving Equations with Variables on Both Sides

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

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

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.7.EE.B.4A

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?

Put the Steps or solving Equations with Variables on both sides in order.

• Combine Like terms

• + or - the constant

• Move the variables to one side

• Distribute

• 2x-6=5x-9

• -6=3x-9

• 1=x

• 3=3x

Tags

CCSS.8.EE.C.7B

-5k + 10 = -2k - 14

• 8

• -8

• 2

• -2

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

• f = -5

• f = 5

• f = 6

• f = -6

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

• y = -4

• y = 9

• y = 4

• y = 36/19