Graphing Quadratics/writing Quadratics Etc. Quadratic Expressions Worksheet (Page 2 of 3) in pdf

Graphing Quadratics/writing Quadratics Etc. Quadratic Expressions Worksheet Page 2

Station 3 – Solving Quadratics

Solve t he f ollowing u sing a ny m ethod o f y our c hoice. Y ou M UST u se e ach m ethod

one t ime – Q F, f actoring, c ompleting t he s quare, a nd s quare r oots.

1. x

= 6 x – 1 1

2. 4 x

+ 1 200 = 0

3. p

= 6 p – 2 0

4. x

= 1 2p + 4 5

Station 4 –Quadratic Applications

1. The l ength o f a r ectanglular p iece o f c ardboard i s 2 l ess t han 3 t imes i ts

width. I f t he a rea m easures 6 5 ��

, f ind t he l ength o f t he r ectangle.

2. An o bject i s l aunched i nto t he a ir f rom a l edge a t a n i nitial v ertical v elocity o f

96 f eet p er s econd. I ts h eight H , i n f eet, a t t s econds i s g iven b y t he e quation

�� = −16��

+ 96�� + 16 .

a. F ind a ll t imes t t hat t he o bject i s a t a h eight o f 1 60 ��.

b. What i s t he h eight o f t he l edge? H ow d o y ou k now?

3. The h eight i n f eet o f a g olf b all h it i nto t he a ir i s g iven b y ℎ = −16��

+ 64��,

where t i s t he n umber o f s econds e lapsed s ince t he b all w as h it.

a. What i s t he m aximum h eight o f t he b all? H ow l ong d oes i t t ake t o

reach t his h eight?

b. How l ong d oes i t t ake f or t he b all t o h it t he g round?

c. Determine a ll v alues o f �� f or w hich t he ℎ > 48.

Graphing Quadratics/writing Quadratics Etc. Quadratic Expressions Worksheet Page 2