Solving Equations with a Variable on Both Sides

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

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

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

• Move the variables to one side

• Distribute

• Combine Like terms

• + or - the constant

• -6=3x-9

• 3=3x

• 1=x

• 2x-6=5x-9

Tags

CCSS.8.EE.C.7B

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

Solve: 4k + 39 = 7k + 6

• k = 11

• k = 3

• k = -3

• k = -11

Solve: 14y + 5 = 8y - 1

• y = 1

• y = -1

Solve: 46 - 8p = 19 + p

• p = -3

• p = 7

• p = 3

• p = 9

Solve: 8b + 10 = 3b + 25

• b = -3

• b = 5

• b = 7

• b = 3

Solve: 5k + 21 = 17k - 3

• k = -2

• k = 2

• k = 1.5

• k = -1.5