Writing Equations (Variables on both sides)

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x
• 25 - 5x = 30 - 4x
• 30 - 25 = 4x + 5x
• 25x + 5 = 30x + 4

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 30x
• 100x + 45 = 125x + 30
• 100 + 45x = 125 + 30x
• 100 - 45x = 125 - 30x 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 30 + 0.15x = 36 + 0.10x
• 30 - 0.15x = 36 - 0.10x
• 30 + 36 = 0.10x + 0.36x
• 36 - 30 = 0.36x + 0.10x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of

water?

• 800 + 6x = 1000 + 10x

• 800 - 6x = 1000 - 10x

• 800 - 6x = 1000 + 10x

Tags

CCSS.8.EE.C.7B

Raymond opened a savings account with $150 and deposited $25 each week. Haydn opened a savings account with zero dollars and deposits $40 per week. Which equation can be used to find x, the number of weeks it will take Haydn to have the same amount in his savings account as Raymond?

• 150 - 25x = 40x

• 150 + 25x = 40

• 150x - 25 = 40x

• 150 + 25x = 40x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Claire has $500 in her account and withdrawals $30 each day for food. Kristi has $200 in her account and is depositing $20 each day. Which equation can be used to find x, the number of days in which Claire and Kristi will have the same amount in their bank account.

• 500 + 30x = 200 + 20x

• 500 - 30x = 200 + 20x

• 500 - 30x = 200 - 20x

• 500 + 30x = 200 -20x

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.EE.A.4

"Each" is a key phrase for...

• Addition

• Subtraction

• Multiplication

• Division

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CCSS.3.OA.A.3

"Increased by" is a key phrase for...

• Addition

• Subtraction

• Multiplication

• Division

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CCSS.5.OA.A.1

CCSS.5.OA.A.2