Literal Equations
consecutive number problems
Percent Mixture Problems
Uniform Motion Problems
Review Problems
100
d = rt, for r
What is r = d/t?
100
Find two consecutive integers whose sum is 19.
What is 9 and 10?
100
Hartson wants to create a drink that has 40% juice. How much of a 10% drink should he add to a 100 ml of a 100% grape juice to obtain the 40% mixture?
What is 200 ml?
100
If a train travels 30 mph traveling east and a second train travels 40 mph due west from the same starting point, when will the trains be 210 miles part?
What is 3 hours?
100
Evaluate |a - 5| - 1, if a =2
What is 2?
200
6w - y = 2z, for w
What is w = (2z + y)/6
200
Find three consecutive even integers whose sum is 132.
What is 42, 44, 46?
200
5 fl. oz. of a 2% alcohol solution was mixed with 11 fl. oz. of a 66% alcohol solution. Find the concentration of the new mixture.
What is 46%?
200
A train travels 90 mph from Dallas to Arlington. A second train travels 50 mph, leaving 2.5 hours later, from Arlington to Dallas. How far is it from Arlington to Dallas?
What is 281.25 miles?
200
Evaluate |b + 1| + 8 if b = -3
What is 10?
300
mx + 4y = 3t, for x
What is x = (3t - 4y)/m
300
Find three consecutive integers whose sum is -93.
What is -32,-31,-30?
300
Delectable Cookie Company sells chocolate-chip cookies for $6.95 per pound and white chocolate chip cookies for $5.95 per pound. How many pounds of chocolate chip should be mixed with 4 pounds of white chocolate to obtain a mixture that sells for $6.75 per pound?
What is 16 lbs?
300
Cade and Holt leave home at the same time, traveling in opposite directions. Cade drives 45 mph and Holt drives 40 mph. In how many hours will they be 510 miles apart?
What is 6 hours?
300
Solve |c - 3| = 1
What is 2,4?
400
(rx + 9)/5 = h , for x
What is x = (5h - 9)/r
400
Find two consecutive odd integers whose sum is 176.
What is 87,89?
400
Kroger wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
What is 7.5 pounds of nuts, 2.5 pounds of dried fruit?
400
Duncan begins walking east at 2mph at 1:00. If Andrew leaves from the same point, 1/2 hour later, walking east at 3mph, when will he catch Duncan?
What is 1.5 hours?
400
Solve |2z - 9| = 1
What is 4 and 5?
500
2w - y = 7w - 2, for w
What is w = (2 - y)/5
500
Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integers. What are the integers?
What is -8,-6?
500
How many liters of a 90% acid solution should be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?
What is 3 L?
500
A freight train leaves a station traveling 60 miles per hour. One half hour later a passenger train leaves the station in the same direction at a speed of 72 mph. How long will it take the passenger train to catch up with the freight?
What is 2.5 hours?
500
|2g - 6| = -8
What is no solution?
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