Chapter 5Test Review

GIVEN:

Name the vertex:Explain how you know:Name the axis of symmetry:Name the y-intercept:Graph the equation.

y =2(x+2)2 −4

GIVEN: y =2(x+2)2 −4

GIVEN:

Name the vertex:Explain how you know:Name the axis of symmetry:Name the y-intercept:Graph the equation.

y =−x2 +2x+1

GIVEN: y =−x2 +2x+1

Factor

25x2 −16

Factor

25x2 −16

(5x −4)(5x+4)

Factor

2x2 −12x+16

Factor

2x2 −12x+16

2(x −4)(x−2)

Factor

3x2 +7x−6

Factor

3x2 +7x−6

(3x −2)(x+3)

Write as a complex number in standard form.

(6−3i)−(−4+5i)

Write as a complex number in standard form.

(6−3i)−(−4+5i)

10−8i

Write as a complex number in standard form.

(−2+i)(6−5i)

Write as a complex number in standard form.

(−2+i)(6−5i)

−7+16i

Solve by any method.

(x +1)2 +15=−3

Solve by any method.

(x +1)2 +15=−3

x =−1±3i 2

Solve by any method.

2x2 −8x−16 =0

Solve by any method.

2x2 −8x−16 =0

2±2 3

Solve by any method.

81x2 −49=0

Solve by any method.

81x2 −49=0

x =±

79

Solve by any method.

x2 −8x+12=0

Solve by any method.

x2 −8x+12=0

x =2,6

The function, , models the height, h , in feet of a heavy object, t seconds after it is dropped from the top of a building 270 feet tall.

How long does it take the objectto hit the ground?

h=−16t2 +270

The function, , models the height, h , in feet of a heavy object, t seconds after it is dropped from the top of a building 270 feet tall.

How long does it take the objectto hit the ground? 4.11 seconds

h=−16t2 +270

a) Find the value(s) of x, knowing the area of the rectangle is 144 square inches.

b) What are the dimensions of the rectangle?

x x - 10

a) Find the value(s) of x, knowing the area of the rectangle is 144 square inches.

x = 18, -8

b) What are the dimensions of the rectangle? 18 inches by 8 inches

x x - 10

Northeast Manufacturing estimates that its monthly profit, P, can be approximated by the formula , , where x is the number of rockets produced per month.

How many rockets should be produced per month to maximize the profit?

What is the maximum profit?

P =−2x2 +800x+1200

Northeast Manufacturing estimates that its monthly profit, P, can be approximated by the formula , , where x is the number of rockets produced per month.

How many rockets should be produced per month to maximize the profit? 200 rockets

What is the maximum profit? $81,200

P =−2x2 +800x+1200

Good Bye and

Good Luck Tomorrow!!