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Linear Equations
Proportions
Word Problems
100
Solve: 8x + 49 = 1
What is x = -6.
100
2 / 5 = y / 30
What is y = 12.
100
Jordan purchases 8 basketballs for the same price, and also a backboard for $115. If his total bill is $291, how much does one basketball cost?
What is $22.
200
Solve: -20 = -11 + k/2
What is k = -18.
200
2 / r = 5 / 8
What is r = 16/5.
200
Zachary wants to buy a new TV that costs $1,340. He currently has $500 in his bank account, but plans to save an additional $60 each week. How many weeks until he has enough money to buy the TV?
What is 14 weeks.
300
Solve: 2x – 19 = 83 – 4x
What is x = 17.
300
Solve: (5 - 3x) / 8 = 9 / 2
What is -31/3.
300
If twelve inches correspond to 30.48 centimeters, how many centimeters are there in thirty inches?
What is 76.2 centimeters.
400
Solve: 5 + 4x – 7 = 4x – 2 – x
What is x = 0.
400
Solve: (2x + 1) / 2 = (x + 2) / 5
What is x = -1/8.
400
Johnny worked a full 40-hour work week at his regular pay of $7.50 per hour. He also worked some overtime hours at time-and-a-half ($11.25 per hour). His total paycheck was $367.50. How many overtime hours did he work?
What is 6 hours.
500
Solve: 13 – (2x + 2) = 2(x + 2) + 3x
What is x = 1.
500
Solve: (x + 3) / 10 = (-2x + 5) / 4
What is 19/12.
500
Biologists need to know roughly how many fish live in a certain lake. They catch, tag and release 96 fish into the lake. A week later, after the tagged fish have had a chance to mix thoroughly with the general population, the biologists come back and catch 72 fish, of which 4 are tagged. Assuming that the catch is representative, how many fish live in the lake?
What is 1728 fish in the lake.