EOC PREP Session B. Identify a.) the vertex b.) the axis of symmetry and c.) both the x and y intercepts of each quadratic function. A B.

EOC PREP

Session B

Identify a.) the vertex b.) the axis of symmetry and c.) both the x and y intercepts of each quadratic function.A B 2)3(2 2 xy

Convert the equation labeled B to vertex form

1.) The height of a ball thrown straight up in the air with a velocity of 4 meters per second can be modeled by the equation, where h is the height in meters and t is the time in seconds? What does the constant term 2 indicate?a.) The ball is thrown from two meters above the groundb.) The ball falls at a rate of 2 meters per secondc.) The ball’s maximum height is 2 metersd.) The ball reaches its highest point after 2 seconds

1.) The height of a ball thrown straight up in the air with a velocity of 4 meters per second can be modeled by the equation, where h is the height in meters and t is the time in seconds? What does the constant term 2 indicate?

2.) What is the maximum height of the ball in problem 1?

3.) Which of the following quadratic functions does not have zeroes of -15 and 6?

a.) b.)

c.) d.)

4.) The table below shows ordered pairs that satisfy the quadratic function f(x)

x f(x) Based on the table, a solution to the equation f(x)=0 -2 31 is found in which interval? -1 20 0 11 a.) 12 x 1 4 b.) 11 x 2 -1 c.) 21 x 3 -4 d.) 53 x 4 -5 5 -4

5.) The profit (P) in dollars, for a company is modeled by the function , where x is the number of items produced. For which values of x will the company lose money?

a.) b.) c.) d.)

6.) What are the zeroes of 57)( 2 xxxf

a.) 2

527 b.) 2

527 c.) 2

297 d.) 2

297

7.) The area of a rectangular window is 18214 2 xx .

Both the length and width are polynomials with integer coefficients.

Which of the following could represent the length of the window?

a.) 64 x b.) 34 x

b.) c.) 6x d.) 3x

8.)The base of a triangle is 3 inches less that twice its height.

If the area of the triangle is 126 square inches,

which of the following can be used to find h,

the height of the triangle in inches?

a.) 06332 2 hh b.) 06332 2 hh

b.) c.) 025232 2 hh d.) 025232 2 hh

1.) Which is an equivalent form of 451 a.) -8i b.) -9i

b.) c.) i+10 d.) -9

2. What is the simplified form of the expression

a.) b.) c.) d.)

3.)What is the simplified form of the expression

a.) -400 b.) -20 c.) 20 d.) 400

4.) What are the factors of the expression

a.) b.)

c.) d.)

5.) What is the sum of the polynomials

a.) b.)

c.) d.)

6.) The volume of a sphere is given by , where r is the radius of the sphere. What is an approximate value of r when V=3370 cubic inches.

a.) 9.3 in b.) 13.6 in c.) 20 .0 in d.) 28.4 in

7.) A reflecting pool measuring 20 feet by 8 feet is to be surrounded by tiles in a border x feet wide. The garden designer can spend $1500 on tiles. Which expression represents the maximum cost per mi2 ?

a.) b.)

c.) d.)

8.) The variable z varies directly with x and inversely with with y. When x=4 and y=2, z=4. What is the value of x when y=32 and y=1/2

a.) b.)

c.) 4 d.) 8

9.) Which expression is equivalent to 127

242

242

622

2

2

xx

xx

xx

x

a.) 4

2

x b.)

3

)3(2

x

x c.) )3)(4(

)3(2

xx

x d.)

)3)(4(

)3(2

xx

x

10.) Given

What is the value of x in the solution of this system?

a.) -4 b.) -1 c.) 2 d.) 3