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Algebra

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Advanced Algebra Practice Questions

  • Posted by Brian Stocker MA
  • Date October 18, 2012
  • Comments 3 comments
Math - Advanced Algebra

Algebra is a common subject for the following exams:

College Entrance, ACCUPLACER, CHSPE

Some Advanced Algebra Tutorials

About.com Advanced Algebra 

 Algebra Tricks 

Practice Problems

1. Find x+y, if: 5x+8y=67 and 2x-y=31 

a. 98
b. 46
c. 21
d. 14
e. 7

2. 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.

a. equal to
b. larger than
c. depends on salary
d. there is no correct answer

3. 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?

a. $20
b. $25
c. $40
d. $50
e. $55

4. Given: a=b+2c,   b=3c. What is the average of numbers a,  b  and  c?

a. c
b. 1.5c
c. 2c
d. 2 1/3 c
e. 3c

5. 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?

a. 2400
b. 2800
c. 3200
d. 3600
e. 4000

6. Find x+y, if:    2x+3y=8 and 3x+5y=13 

a. 1.5
b. 2
c. 2.5
d. 3
e. 3.5

7. 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?

a. 12.5%
b. 20%
c.
 25%
d. 30%
e. 33%

8. 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?

a. 20
b. 24
c. 30
d. 32
e. 40

9. In the previous question – what part of all the students are brunette girls?

a. 20%
b. 1/10
c. 1/2
d. 1/15
e. 15%

10. 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

11. 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

12. 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

13. 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

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Answer Key

 

1. D

2. B

3. B

4. E

5. A

6. D

7. C

8. A

9. D

10. D

11. B

12. B

13. E

Written by: Brian Stocker MA, Complete Test Preparation Inc.
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Brian Stocker MA

Previous post

Practice Solving Algebra Equations – Learn at your Own Pace
October 18, 2012

Next post

Free Basic Math Practice Test – (2020) Includes Answer Key and Step-by-Step Solution!
October 25, 2012

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    3 Comments

  1. Anonymous
    July 31, 2015
    Reply

    nice! thanks

    • Gelila
      January 1, 2021
      Reply

      Can you show how to solve them with the answers cuz sum of them are hard

  2. Brian Stocker
    January 10, 2019
    Reply

    thanks! corrected

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