WORD PROBLEMS

 

After reviewing this website, these word problems will test everything that you have learned so far! There is a answer sheet attached at the bottom. Good luck!

 

1) A parabola has a equation of y=x^2+2x-8.

 

a) Factor this equation

b)Identify the x intercepts

c) Find the AOS, the vertex, and draw the graph

 

 

2) The equation for the height of a rock thrown from a walkway over a lagoon is h=-5t^2 + 20t + 60

t is the time in seconds and h is the height in metres.

 

a)Write the formula in facotred form 

b) When will the rock hit the water?

 

3) Determine the values of e so each expression can be factored.

 

a) x^2 + 10x+e

b)x^2-3x-e

 

 

4) A rectangle has a area given by the expression 4x^2+8x. The length and width of the rectangle can be found by factoring the expression. Find at least 3 possible expressions for the length and width

 

5) A rectangle has a area defined by 12x^2+17x+6

 

a) Factor to find the algerbric expressions for the length and width of this rectangle. 

b) If x is 10cm, determine the perimeter.