Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Algebra Worksheet 6, Group 1

(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

(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.