Understanding multi-step problems involving non-linear equations in one variable

A six-story building is 72 feet tall. What is the height of each story?

• 10

• 12

• 14

• 16

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CCSS.HSA.CED.A.1

Roman has 2 red pens in his backpack.  If this is 25% of the total number of pens, how many pens are in his backpack?

• 8
• .5
• 800
• .005

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CCSS.HSA.CED.A.1

The budget for a Christmas party is $9000. If x people would attend and split the cost equally, how much would each person have to pay?

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CCSS.HSA.CED.A.1

Joan can clean the store in five hours. If Dan helps, it takes them four hours. Without help, how long would it take Dan to complete this job ?

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CCSS.HSA.CED.A.1

It takes 40 minutes less time to travel 150 miles by car at night than by day because the lack of traffic allows the average speed at night to be 12 miles per hour faster than in the daytime. What is the average speed in the daytime (round to nearest multiple of 5)

• 30 miles per hour

• 35 miles per hour

• 40 miles per hour

• 45 miles per hour

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CCSS.HSA.CED.A.1

Two consecutive integers have a sum of 123. Which equation models this scenario? (HINT: 5 and 6 are consecutive integers)

• 2x - 1 = 123

• 5(6) = 123

• (x)(x + 1) = 123

• x + x + 1 = 123

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CCSS.HSA.CED.A.1

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

• 42 km/hr

• 44 km/hr

• 46 km/hr

• 48 km/hr

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CCSS.HSA.CED.A.1

Keith and Melanie were able to reupholster furniture in three hours together. It takes Melanie five hours to do this job alone. Without help, how long would it take Keith to do this job ?

• 5.5

• 6.5

• 7.5

• 8.5

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CCSS.HSA.CED.A.1

Although Alex had forty-one apples, he only ate one. The remaining food was to be shared between his other two friends. How much did apples he gave to each of his friends?

• 20

• 20.5

• 20 1/2

• 21

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CCSS.HSA.CED.A.1

One pump take 12 minutes to fill a take. Another takes 8 minutes. How long will it take to fill the tank with both pumps?

• 
  

  $4\ \min$
  

• $6\ \min$

• $10\ \frac{1}{2}\ \min$

• $4\ \frac{4}{5}\ \min$

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CCSS.HSA.CED.A.1