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

Marcus went on a diet and lost weight. He now weighs 197.4 pounds, which is 84% of his original weight. How much did he weigh at the beginning of the diet?

• 200 lb

• 235 lb

• 225 lb

• 250 lb

Ken got 6 out of 24 questions correct on a test. What is his grade? 

• 6%
• 25%
• 50%
• 33%

Dan can wash the tables in 20 minutes while David can wash them in 12 minutes.  What equation would you use to find the time it would take both boys to wash the tables if they work together?

• 20x-12x=1
• 20x+12x=1
• (x/20)+(x/12)=1
• (x/20)-(x/12)=1

Jen and Len were asked to decorate the stage for the graduation. If Jen works alone, she can do the job in 10 days while Len can do it in 4 days. How long will it take them to finish the task if they will work together?

QUESTION 20: What part of the job can Jen finish in 3 days?

A train makes a trip at 65 mph. A plane traveling 130 mph makes the same trip in three less hours. Write and solve an equation to find the distance of the trip.

• 3

• 6

• 9

• 12

Igor can do a job in 20 minutes. Fred can do the same job in 30 minutes. How long will the job take if they both work together?

• 25minutes

• 15 minutes

• 12 minutes

• 22 minutes

Ryan bought 35 packs of camote chips at Php25 each. How much did he pay in all?

• Php875

• Php805

• Php750

• Php675

Parsnips sell for 35g. Seeds cost 10g. They take 4 days to grow. If I plant 8 parsnips, how much money will I make per day?

• What the boop is a parsnip?

• 8 parsnips times 35 (sale) minus 10 (cost) divided by 4 days

• 8 parsnips times 10 (cost) plus 35 (cost) divided by 4 days

• 8 parsnips times 35 (sale) minus 10 (cost) times 4 days

Choose the best choice.

• 1

• 2

• 3

• 4

Kevin can paint a certain fence in 3 hours by himself. If Jeff helps, the job takes only 2 hours. How long would it take Jeff to paint the fence by himself ? How would you set this up?

• tog/alone + tog/alone = 1 
• time together *  time alone = 2
• time alone    =   time together
• Kevin Rate + Jeff Rate = 2