Try the Free Math Solver or Scroll down to Tutorials!

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Algebra Worksheet 6, Group 1

1. Multiply the following polynomials, and then simplify your answer.

(a) 5x4(2x3 - 3x2 + 1)

(b) (2x + 5)(3x - 4)

(c) (x2 - 4x)(3x - 5)

(d) (x + 2)2

(e) (x - 4)(x + 4)(x + 1)

(f) (x - 1)3

2. Factor the following polynomials:

(a) 3x4 + 6x2

(b) 5x2 - 25x

(c) x2 + 9x + 20

(b) x2 + 10x + 21

(e) x2 - 2x - 15

(f) x2 - 6x + 8

(g) x3 + 7x2 + 12x

(h) x3 - 11x2 + 30x

3. Solve the following equations. (You do not need to use the quadratic formula for these
problems.)

(a) (x + 1)(x - 2) = 0

(b) (2x + 3)(3x - 9) = 0

(c) (x2 - 9)(x + 4) = 0

(d) x2 + 13x + 42 = 0

(e) x2 - 7x + 12 = 0

(f) x3 - 5x2 + 6x = 0

(g) x2 - x = 6

(h) x2 = 9x - 20

4. Recall that the quadratic formula is:

Use the quadratic formula to solve the following equations. When the answers are not
integers, give your answer as a decimal to two decimal places.

(a) 2x2 + 3x - 5 = 0

(b) 3x2 - 5x - 2 = 0

c) x2 + 3x + 1 = 0

(d) 2x2 - 6x + 3 = 0

(e) 5x2 + 6x = 3

(f) 4x2 = 3x + 5

5. Susan is one year older than Bob. The product of their ages is 306. What is Bob's age?

6. A ball is thrown directly upward with a velocity of 96 feet/second. The height of the ball
after t seconds is given by the following equation:

h = -16t2 + 96t

The maximum height attained by the ball is 144 feet. When is the ball at this height?

7. A garden measuring 12 meters by 16 meters is to have a pedestrian pathway (with width
x) installed all around it, increasing the total area to 285 square meters. Determine the
width of the pathway.