Advanced Algebra Practice Questions
- Find x+y, if: 5x+8y=67 and 2x-y=31
- 98
- 46
- 21
- 14
- 7
- Peter's salary is twice Ann's salary and half of David's salary. Then the average salary of Ann and David is Peter's salary.
- smaller than
- equal to
- larger than
- depends on salary
- there is no correct answer
- Ann and Kate have 80 dollars together. If Kate buys ice-cream for 5 dollars, then Kate will have double Ann's money. How much money does Ann have?
- $20
- $25
- $40
- $50
- $55
- Given: a=b+2c, b=3c. What is the average of numbers a, b and c?
- c
- 1.5c
- 2c
- 2 1/3 c
- 3c
- In a forest 4/7 of all the trees are conifer and the rest are leaf-bearing. Among the leaf-bearing trees 7/15 are oak and 2/3 of these oaks are new. There are 160 old oaks in the forest. How many trees in all are in the forest?
- 2400
- 2800
- 3200
- 3600
- 4000
- Find x+y, if: 2x+3y=8 and 3x+5y=13
- 1.5
- 2
- 2.5
- 3
- 3.5
- The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?
- 12.5%
- 20%
- 25%
- 30%
- 33 %
- Number of boys in a class is twice the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Mary, Clara, Gina and Trisha. How many boys study in this class?
- 20
- 24
- 30
- 32
- 40
- In the previous question – what part of all the students are brunette girls?
- 20%
- 1/10
- 1/2
- 1/15
- 15%
- Find x+y, if: 5x+8y=67 and 2x-y=31
- 98
- 46
- 21
- 14
- 7
- Peter's salary is twice Ann's salary and it is half of David's salary. Then the average salary of Ann and David is Peter's salary.
- smaller than
- equal to
- larger than
- depends on salary
- there is no correct answer
- If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
- A. ZY - V
- B. Z/V – 3 - Y
- C. Z/3 – V - Y
- D. 3V- Z - Y
- E. V- Z – Y
- Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
- A. 2 hours
- B. 4 ½ hours
- C. 5 ¾ hours
- D. 6 hours
- E. 7 ½ hours
- Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
- A. 12 minutes
- B. 15 minutes
- C. 21 minutes
- D. 23 minutes
- E. 28 minutes
- Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
- A. 2x + 5 (x-1) = 9 x = 2
- B. p - 3(p-5) = 10 p = 2.5
- C. 4 y + 3 y = 28 y = 4
- D. 5 w + 6 w – 3w = 64 w = 8
- E. t – 2t – 3t = 32 t = 8
Answer Key 1. 4
2. 3
3. 2
4. 5
5. 1
6. 2.5
7. 3
8. 1
9. 4
10. 4
11. 3
12. 4
13. 2
14. 2
15. 5
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