8-Solve and Write Equations and Inequalities

Which situation can be represented by the equation 
1500 - 50x = 2000 - 100x

• There are two water tanks in the city.  One tank has 1500 gallons and gains 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
• There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
• There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the tanks have the same amount of water?
• There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the bigger tank have more water?

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Write as an equation: the product of 8 and a number c is 72

• 72c = 8

• 8c = 72

• c - 8 = 72

• 8 + c = 72

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Is means...

• addition

• less than

• at least

• equals

At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account.  Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account.  Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?

• 800 - 25x  < 1280 - 15x
• 800 + 25x < 1280 - 15x
• 800 + 25x  > 1280 - 15x
• 800 + 25x >  1280 + 15x

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CCSS.6.EE.B.6

CCSS.6.EE.B.8

CCSS.6.EE.C.9

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

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CCSS.6.EE.B.8

Edith earns $12 per hour cutting lawns in her neighborhood.  Which inequality represents how many lawns she must cut to earn at least $96

• 12x > 96
• x - 12 < 96
• 12x ≥ 96
• x/12 ≤ 96

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.EE.B.8

3. A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

• y = 2.50x + 2.65

• y = 2.65(x + 2.50)

• y = 2.65x - 2.50

• y = 2.65x + 2.50

Which situation can be represented by the inequality? 

 $1.25x\ -\ 6.50>50$  

• Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. WHat is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest o the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

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CCSS.6.EE.B.5

CCSS.6.EE.B.8

Translate the word phrase:
The speed limit is 45 miles per hour.

• x > 45
• x < 45
• x ≤ 45
• x ≥ 45

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CCSS.6.EE.B.5

CCSS.6.EE.B.8