cumulative review : mat-032 (algebra b)bergen.edu/portals/0/docs/student services/tutor...

Cumulative Review : MAT-032 (Algebra B) 2013

Bergen Community College Cerullo Learning Assistance Center (CLAC) 201-447-7489

Perform the indicated operations and simplify:

1. (

2.

3.

4.

5.

6.

7.

8.

9. Add

10. Subtract from

11. Subtract from the sum of and

12. Subtract the sum of and from

Answers:

1. 7.

2. 8.

3. 9.

4. 10.

5. 11.

6. 12.



Factor completely:

1.

2.

3.

4.

5.

6.

7.

8.

Answers:

1.

2.

3.

4.

5.

6.

7.

8.



Factor completely:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Answers:

1. 6.

2. 7.

3. 8.

4. 9.

5. 10.



Reduce to lowest terms:

1.

2.

3.

4.

5.

6.

7.

8.

Answers:

1. 5.

2.

6.

3.

7.

4.

8.



Perform the indicated operation and simplify:

1.

2.

3.

4.

5.

6.

7.

8.

Answers:

1.

2.

3.

4.

5.

6.

7.

8.



Solve the given equation (check your solutions in original equation):

1.

+

= 1

2.

=

+

3.

+ 9 =

4.

-

=

5.

=

6.

-

=

Answers:

1.

2.

3.

4.

5.

6.



Solve the given equation for the indicated variable:

1.

2.

-

=

+ 1

3.

4.

5.

6.

+ 5

Answers:

1.

2.

3.

4.

5.

6.



Find the slope:

1. The line passing through (-5, 2) and ( 3, -4)

2. The line passing through ( -2, -4) and (7, 1)

3. The line

4. The line

5. The line passing through ( 2, 3) and ( -1, 3)

6. A vertical line

Answers:

1.

2.

3.

4.

5.

6. No slope



Write an equation for the following:

1. The line passing through (-1, -4 ) with slope

2. The line passing through (4, -3) and ( 3, 2)

3. The line passing through (2,6 ) and (2, -2)

4. The horizontal line passing through ( -1 , 3)

5. The vertical line passing through (-1, 3)

6. The line with the x-intercept 2 and the y-intercept 3.

Answers:

1. y =

x -

2. y = - 5x + 17

3. x =2

4. y =3

5. x = -1

6. y =

+ 3



Sketch the graph:

1.

2.

3.

4.

5.

6.

Sketch the graph of the line:

7. Passing through ( 1, -2) with slope -3

8. Passing through (-3,1) with slope



Answers:

1.

2.



3.

4.



5.

6.



7.

8.



Solve the system of equations:

1. {

2. {

3. {

4. {

5. {

Answers:

1.

2.

3.

4.

5.



Word Problems:

1. One number is 8 more than three times another. If the sum of the two numbers is 16, find the numbers.

2. If the width of a rectangle is 9 feet less than twice its length and the perimeter is 30 feet, what are the dimensions of the rectangle?

3. Mr. Brown invested $5,000 for one year in two separate savings accounts. One account paid 5% interest and the other paid 4% interest. How much was invested in each account if the total interest from both accounts was $235.

4. The sum of two numbers is 5, and the difference between the first number and twice the second number is 29. Find the numbers.

5. Charlie bought five shirts and four pairs of socks for $87. He returned to the same store a week later and purchased, at the same prices, two shirts and six pair of socks for $48. Find the price of each.

6. Advance sale tickets to a school play cost $4.00 each, while tickets at the door cost $5.oo. If $855 was collected on the sale of 200 tickets, how many tickets were sold at the door?

7. The owner of a candy store wishes to mix candy selling for $1.50 per pound with nuts selling for $1.00 per pound to obtain a party mix to be sold for $1.20 per pound. How many pounds of each must be used to obtain 50 pounds of mixture?

8. Four hamburgers and three orders of French fries cost $5.30. Two hamburgers and three orders of fries cost $3.40. What would one hamburger cost and what would one order of fries cost?

9. A collection of 20 coins consisting of dimes and quarters has a total value of $3.95. How many of each type of coin are there?

10. Two trains leave cities 390 miles apart traveling toward each other. One train leaves at 2:00 P.M. traveling at 60 mph, while the other train leaves at 3:00 P.M. traveling at 50mph. At what time do they pass each other?

11. The ratio of two positive numbers is 5 to 6. If one of the numbers is 8 less than the other, what

are the two numbers?



Answers:

1. 2 and 14

2. 8 feet by 7 feet

3. $1,500 at 4% and $3,500 at 5%

4. -8 and 13

5. $15 for a shirt and $3 for a pair of socks

6. 55 tickets were sold at the door

7. 20pounds of candy and 30 pounds of nuts

8. 95₵ for one hamburger and 50₵ for one order of fries

9. 7 dimes and 13 quarters

10. 6 P.M.

11. 40 and 48



MAT 032 Review

Simplify (the answer should have no radicals in the denominator):

1. √

2. √

3. √

4. √

5. √

6.

√

7. √

8. √

9. √

10.

√

11. √

12.

√

13. √

14. (√ √



Answers:

1. 7

2. 5

3. 2 √

4.

5. 5x √

6. √

7. √

8. 3 √

9. √

10. √

11. 8 √

12. √

13. √

14. 16



MAT 032 Review

Simplify:

1. 4√ √ √ √

2. √ +√

3. 2√ √

4. 3√ √

5. 2(√ √ √ √

6. √

√

7. √ √ √

8. √

√

9. √ √

10. √

√



Answers:

1. 5√ √

2. 7√

3. -4√

4. x√

5. √ √

6. √

7. √

8. √

9. 9√

10. √



MAT 032 Review

Solve the given equations:

1.

2. 2

3.

4. 4

5.

6. 2y+

7.

8.

9.

10. +1 = 0

11.

12.

13.

14.



Answers:

1. x = 6, x = -3

2. y = 0, y =

3. x = -3 ± √

4. No solution

5. x = ± 4

6. y = 2, y =

7. x = ± √

8. x = ±2√

9. y = √

10. x = √

11. x = 0, x = 1

12. x = -3, x = 2

13. x = ± √

14. y = 2±√

cumulative review : mat-032 (algebra b)bergen.edu/portals/0/docs/student services/tutor...

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