Equations With Variables on Both Sides

You rewrote the equation after multiplying the LCD 4 to equal 2x - 20 = 3x + 12 What is the value of x?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Write the equation for the model.

• 3x + x = -x - 3x

• -x + 1 = 3x - 3

• 3x + 1 = -x - 3

Tags

CCSS.HSA.CED.A.3

Write the equation for the model.

• 2x + 7 = -3x + 2

• 2x - 2 = 3x - 7

• 2x + 2 = -3x + 7

Tags

CCSS.HSA.CED.A.3

Solve:

• x = 13

• x = -13

• x = 12

• x = -15

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?

• 18x = 22x

• 3x + 15 = x + 21

• 15x + 3 = 21x + 1

• 3x + 15 + 21x = 1

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 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Select the situation that could be modeled by: 8 + 4x = 12 + 3x.

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?

• Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?

• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

13x+2=4x+38

• all numbers

• 43

• 4

• 2/3