Equations with Variables (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

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Jazmine joined a music club.  The start up fee was $10.00.  Each song she downloads is $0.99.  If she spent a total of $15.94, how many songs did she download?

• $10.00 + $0.99m = $15.94
• $10.00m + $0.99 = $15.94
• $10.00/$0.99m = $15.94
• $10.00 - $0.99m = $15.94

Tags

CCSS.7.EE.B.3

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 

• 2 miles 
• 4 miles
• .50 mile
• -4 miles 

Tags

CCSS.8.EE.C.8C

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Tags

CCSS.7.EE.B.4A

3 (7 + m) - 6 (1 + m) = 30

• -14
• -13
• -5
• 10

Tags

CCSS.8.EE.C.7B

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A

Which equation is represented by the balance scale?

• x - 1 = x + 5
• 3x = 5x
• 2x - 1 = x + 5
• 2x - 1 = 5

Tags

CCSS.HSA.CED.A.3

Solve for x

• 3

• 7

• -7

• 3/5

Tags

CCSS.8.EE.C.7B