Write Equations with Variable 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 + 3x

• 15 - 10 = 2.5x + 3x

WRITE AN EQUATION

You bought a magazine for $5 and four

erasers. You spent a total of $25. Write a 2-step equation to find the cost of one eraser.

• 5 + x = 25

• 5 + 4x = 25

• 5x = 25

• 25 - 5 = -4x

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies. 

• 36,000x + 1,500 = 29,000x + 2,500
• 36,000 - 29,000 = 1,500x + 2,500x
• 36,000 - 1,500x = 29,000 - 2,500x
• 36,000 + 1,500x = 29,000 + 2,500x

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

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Translate this word problem into an equation: Hannah ordered books for her son from an online retailer. Each book costs $7.25 and there is a shipping fee of $6.75 for the entire order. How many books did Hannah order if her total cost was $93.75?

• $93.75-7.25x=6.75$

• $7.25+6.75x=93.75$

• $7.25x+6.75=\ 93.75$

• $x=\left(93.75-6.75\right)\div7.25$

solve

• k=20.6

• k=53.9

• k=2.1

• k=-2.1