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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!!