Solving Equation Word Problem With Variables on Both Sides

7x = 3x + 24

• 6

• 10

• 14

• 4

• x = 1

• x = 2

• x = 1/2

• x = 3/2

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Tags

CCSS.6.EE.B.7

Solve for x:

4(1 - x) + 3x = -2(x + 1)

• x = -6

• x = 6

• x = 3

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

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

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

7x = 4x + 33

• 3

• 11

• 21

• 88

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?

• 1=x

• 3=3x

• -6=3x-9

• 2x-6=5x-9

Tags

CCSS.8.EE.C.7B