Solving Word Problem Multistep Equations

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

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

The number of CD’s sold last month was 8 more than 3 times the number of CD’s sold this month. Last month, 107 CD’s were sold. How many were sold this month?

• 8 + 3(107) = x

• 3(x + 8) = 107

• 8 + 3x = 107

• 3(107 + 8) = x

The height of a plant is 8 more inches that twice the height of the plant last month. The plant is 32 inches this month. What is the plant height last month?

• y = 8 + 2x

• 32 = 8 + 2x

• y = 8 + 2(32)

• 2(8 + x) = 32

Jerry is making 3 times the sum of his salary 20 years ago and $5000. He makes $81,000 now. How much did he make 20 years ago?

• 3x + 5,000 = 81,000

• 3(81,000) + 5,000 = x

• 3(x + 5,000) = 81,000

• 3(x + 20) + 5,000 = 81,000

An Internet service offers internet access for $29.95 a month with a $15.75 initial charge for the hookup. If Gail spent a total of $195.45 on her total Internet bill, how many months did she pay for?

• 29.95 + 15.75m = 195.45

• 29.95m + 15.75 = 195.45

• (29.95 + 15.75)m = 195.45

• 29.95(m + 15.75) = 195.45

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 = x + 4 + 3

• 8 - 7n = 4 + 3n

• 7x - 8 = 3x + 4

The perimeter of a rectangle is 1,409 feet.  The height is 214 feet.  Which equation could be used to find the width?

• w + 214 + 214 = 1,409

• 2w + 214 = 1,409

• w + w + 214 + 214 = 1,409

• w + 214 = 1,409

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?

Which situation is best represented by the equation shown below?
6x + 36 = 42

• Sid bought some pens that cost $6 each and three binders that cost $12 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 

• Sid bought some pens that cost $6 each and three binders that cost $36 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 

• Sid spent $42 at the store. He bought some binders that cost $36 each and a pen for $6. If Sid spent a total of $42, what is x, the number of binders Sid bought? 

• Not here