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Quadratics Gateway

 1. 

When completely factored, 3mc001-1.jpg– 27 equals ---
A)
3(mc001-4.jpg– 27)
C)
3(x - 3)(x + 3)
B)
3(x² + 9)
D)
(3x – 9)(x + 3)
 

 2. 

The velocity of an object in a certain liquid can be described by the equation mc002-1.jpg where v is the velocity in inches per second and t is time in seconds.  At what time will v = 0?
A)
3 sec
B)
9 sec
C)
8 sec
D)
2 sec
 

 3. 

If the area of a rectangle can be represented by mc003-1.jpg, which could represent its length and width?
A)
x - 2, x - 2
C)
mc003-4.jpg, -4
B)
x - 2, x + 2
D)
2, 2
 

 4. 

Which graph best represents the function mc004-1.jpg ?
A)
mc004-3.jpg
C)
mc004-5.jpg
B)
mc004-4.jpg
D)
mc004-6.jpg
 

 5. 

Which is the complete factorization of the trinomial  mc005-1.jpg – 2x – 24 ?
A)
(x – 6) (x + 4)
B)
(x – 1) (x – 1)
C)
(x + 1) (x + 24)
D)
(x + 6) (x – 4)
 

 6. 

Which is the solution set for the equation:        mc006-1.jpg + 13x + 36 ?
A)
{–9, 4}
B)
{–4, 9}
C)
{–9, –4}
D)
{9, 4}
 

 7. 

Which is a zero of the function     f(x) =  mc007-1.jpg + 7x + 12 ?
A)
1
B)
3
C)
–3
D)
4
 

 8. 

Which of the following equals mc008-1.jpg when factored completely?
A)
(7x + 4)(x – 9)
B)
(7x - 1)(x + 36)
C)
(7x + 36)(x - 1)
D)
(7x – 4)(x + 9)
 

 9. 

Which binomial is a factor of the following expression?           mc009-1.jpg
A)
(x - 3)
B)
(x – 1)
C)
(x + 12)
D)
(x – 3)
 

 10. 

The perimeter of a rectangular playing field is 244 feet. If its length is 2 feet longer than twice its width, what are the dimensions of the field?
AY090204
A)
20 ft, 41 ft
B)
21 ft, 40 ft
C)
40 ft, 82 ft
D)
42 ft, 80 ft
 

 11. 

Which equation most likely represents the function shown by the graph?
  mc011-1.jpg 
A)
mc011-4.jpg
C)
mc011-6.jpg
B)
mc011-5.jpg
D)
mc011-7.jpg
 

 12. 

The height of a right triangle is 5 units more than twice its base. If the area of the triangle is 21 square units, what is its height?
A)
mc012-1.jpg units
C)
mc012-3.jpg units
B)
mc012-2.jpg units
D)
12 units
 

 13. 

Which is the solution set for mc013-1.jpg?
A)
{0.444, 2}
B)
{–0.444, 2}
C)
{0.444, –2}
D)
{–0.444, –2}
 

 14. 

What are the x-intercepts of the graph that represents the equation:   y = x2 + 14x + 48 ?
A)
(0, –8) and (0, –6)
C)
(14, 0) and (48, 0)
B)
(–8, 0) and (–6, 0)
D)
(0, 14) and (0, 48)
 

 15. 

A polynomial function has zeros –3 and 2. Which is one of the factors of the polynomial?
A)
(x – 1)
B)
(x – 3)
C)
(x – 2)
D)
(x + 2)
 

 16. 

When graphed, which of the following equations would produce a parabola?
A)
mc016-1.jpg
C)
mc016-3.jpg
B)
mc016-2.jpg
D)
mc016-4.jpg
 

 17. 

What type of function is    mc017-1.jpg  ?
A)
Quadratic
B)
Linear
C)
Exponential
D)
Square-root
 

 18. 

Which best represents the graph of mc018-1.jpg?
A)
mc018-2.jpg
C)
mc018-4.jpg
B)
mc018-3.jpg
D)
mc018-5.jpg
 

 19. 

Which apparently is a graph of a quadratic function that has no real zeros?
A)
mc019-1.jpg
C)
mc019-3.jpg
B)
mc019-2.jpg
D)
mc019-4.jpg
 

 20. 

Each statement describes a transformation of the graph of mc020-1.jpg
Which statement correctly describes the graph of mc020-2.jpg
?
A)
It is the graph of mc020-5.jpg translated 5 units up and 4 units to the left.
B)
It is the graph of mc020-6.jpgtranslated 5 units up and 4 units to the right.
C)
It is the graph of mc020-7.jpg translated 5 units down and 4 units to the left.
D)
It is the graph of mc020-8.jpg translated 5 units down and 4 units to the right.
 

 21. 

The left side of a solid block is held at a constant temperature of 200mc021-1.jpgC. The temperature profile within the block is given by T = 200 - 6x - x2 where x is the distance from the left side of the block in centimeters and T is the temperature in degrees Celsius of the block at location x. At what value of x is T = 160mc021-2.jpgC?
A)
4º C
B)
6º C
C)
10º C
D)
12º C
 

 22. 

Which appears to be the graph of a quadratic function?
A)
mc022-1.jpg
C)
mc022-3.jpg
B)
mc022-2.jpg
D)
mc022-4.jpg
 

 23. 

Which is a factor of mc023-1.jpg?
A)
(2a + 3b)
B)
(2a - 3b)
C)
(3a + 2b)
D)
(3a + 3b)
 

 24. 

What is the factored form of mc024-1.jpg ?
A)
mc024-3.jpg
B)
mc024-4.jpg
C)
mc024-5.jpg
D)
mc024-6.jpg
 

 25. 

mc025-1.jpg=
A)
mc025-3.jpg
B)
mc025-4.jpg
C)
mc025-5.jpg
D)
mc025-6.jpg
 



 
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