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Algebra 1 SOL Review Packet #4.. (A2 Modified)


 1. 
Which equation most closely fits the data in this scatterplot?
mc001-1.jpg
a.
mc001-2.jpg
b.
mc001-3.jpg
c.
mc001-4.jpg
d.
mc001-5.jpg
 

 2. 
Two factors of a polynomial, P(x), are (x + 6) and (x - 3). Which is a zero of P(x)?
a.
6
b.
3
c.
-3
d.
1
 

 3. 
What is the solution set for mc003-1.jpg?
 

 4. 
Which function of x would have x-intercepts -½ and 3?
a.
y = x2 - x - 6
c.
y = 2x2 - 5x - 3
b.
y = 2x2 + 7x + 3
d.
y = 2x2 + 5x - 3
 

 5. 
Which equation most likely represents the function shown by the graph?
mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
Which set contains 3 apparent zeros of the polynomial function shown?
mc006-1.jpg
a.
{-3, -2, 5}
b.
{-3, 1, 2.5}
c.
{-3, -1, 3}
d.
{-2.5, -1, 3}
 

 7. 
Which type of function would best fit the data in this scatterplot?
mc007-1.jpg
a.
Exponential
b.
Linear
c.
Logarithmic
d.
Quadratic
 

 8. 
This is a portion of the graph of a system of equations. Which is most likely the solution set for the system?
mc008-1.jpg
a.
{(0, -3), (2.4, 1.8)}
c.
{(0, -3), (2.4, -1.8)}
b.
{(-3, 0), (3, 0)}
d.
{(0, -3), (1.8, 2.4)}
 

 9. 
Which is a zero of the function f (x) = x2 - 2x - 24?
a.
4
b.
-3
c.
-6
d.
6
 

 10. 
Which could be the graph of mc010-1.jpg?
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 
What is the solution set for mc011-1.jpg?
 

 12. 
What is the solution set for |2x + 5| = 7?
 a.
7
 d.
1
 b.
6
 e.
-6
 c.
-1
 f.
-7
 

 13. 
This is a graph of a rational function, f.
mc013-1.jpg
Which is not a solution of the equation f(x) = 0?
a.
2
b.
-1
c.
-2
d.
1
 

 14. 
Which of the following inequalities best represents the graph below?
                mc014-1.jpg
a.
|x + 3| < 4
b.
|x + 3| < 7
c.
|x - 7| < 4
d.
|x - 1| < 3
 

 15. 
Which is equivalent to (6)-2(30)(23)?
a.
-216
b.
mc015-1.jpg
c.
-288
d.
mc015-2.jpg
 

 16. 
Which graph represents a quadratic equation with no real solutions?
a.
mc016-1.jpg
c.
mc016-3.jpg
b.
mc016-2.jpg
d.
mc016-4.jpg
 

 17. 
This is a portion of the graph of a system of equations. Which is most likely the y-coordinate  to the solution set for the system?
mr017-1.jpg
 a.
1.4
 d.
1.8
 b.
-3
 e.
0
 c.
3
 f.
2.4
 

 18. 
If f(x) is a polynomial with only factors x, (x + 2), and (x - 4), what is the solution set of f(x) = 0?
 a.
-2
 c.
2
 e.
-8
 g.
0
 b.
4
 d.
-4
 f.
6
 h.
-6
 

 19. 
What are the factors of a polynomial function if its graph has x-intercepts at -1, 0, and 4?
 a.
x - 4
 d.
x + 1
 b.
x - 1
 e.
x + 5
 c.
x - 5
 f.
x
 

 20. 
Which is most likely the equation for the curve of best fit for the scatterplot?
mc020-1.jpg
a.
y = x - 3
b.
mc020-2.jpg
c.
mc020-3.jpg
d.
y = x + 2
 

 21. 
For which value of x does mc021-1.jpg?
a.
mc021-2.jpg
b.
mc021-3.jpg
c.
-8
d.
8
 

 22. 
A city began recording its air pollution index in 1980. The scatterplot shows the index related to various numbers of years since 1980.
         mc022-1.jpg
If no steps are taken to control city air pollution, which is the best estimate for the pollution index in 2005?
a.
600
b.
425
c.
525
d.
475
 

 23. 
This is a portion of the graph of a system of equations. Which is most likely the solution set for the system?
mr023-1.jpg
 a.
(1.5, 2.5)
 d.
(-3, 2)
 b.
(-2, -3)
 e.
(2.5, -1.5)
 c.
(1.5, -3)
 f.
(2, -3)
 

 24. 
Which is a factored form of x2 + 18x + 81?
a.
(x - 9)2
c.
(x + 9)2
b.
(x + 9)(x - 9)
d.
(x - 3)(x + 27)
 

 25. 
What is the solution to mc025-1.jpg?
 

 26. 
Which is a general rule for the function containing the values shown in the table?
x
-2
0.5
3
4
y
-2
0.75
-8
-15
a.
mc026-1.jpg
b.
mc026-2.jpg
c.
mc026-3.jpg
d.
mc026-4.jpg
 

 27. 
What are the coordinates of the vertex of   mc027-1.jpg?
a.
(4, -1)
b.
(-4, -1)
c.
(4, 1)
d.
(-4, 1)
 

 28. 
Wind chill factor (W) varies directly with temperature (T) and inversely with the wind velocity (v). If k is the constant of proportionality, which formula represents this relationship?
a.
mc028-1.jpg
b.
mc028-2.jpg
c.
mc028-3.jpg
d.
mc028-4.jpg
 

 29. 
Which of the following is a zero of the function          f (x) = x3 - x2 - 14x + 24?
a.
-3
b.
0
c.
-4
d.
-2
 

 30. 
What is the solution set for       x2 - 16 = 0?
a.
{0, 4}
b.
{-4}
c.
{mc030-1.jpg}
d.
{4}
 

 31. 
Which is the solution set for 3x2 - 4x - 15 =0?
 

 32. 
What are the x-coordinate(s) of the ordered pairs for the solution to the system of equations shown?
mr032-1.jpg
 a.
23
 c.
0
 e.
-1
 g.
3
 b.
-3
 d.
-11
 f.
2
 h.
-2
 

 33. 
This is a portion of the graph of a system of equations. Which is most likely the solution set for the system?
mc033-1.jpg
 

 34. 
The table shows the number of students enrolled in the advanced algebra program at Fairoaks High School during the 6 years since its initiation.
Year (x)
Number of Students (n)
1
66
2
72
3
82
4
90
5
100
6
106
Assuming the trend continues, which is the best prediction for the number of students that will be enrolled during the 12th year of the program?
a.
142
b.
212
c.
157
d.
126
 

 35. 
What is the solution set for mc035-1.jpg?
a.
{7}
b.
{-5, 5}
c.
{-7, 7}
d.
{5}
 

 36. 
This is a portion of the graph of a system of equations. Which is most likely the x-coordinate  to the solution set for the system?
mr036-1.jpg
 a.
-3
 d.
2.4
 b.
1.8
 e.
0
 c.
1.4
 f.
3
 

 37. 
What are the factors of a polynomial function if its graph has x-intercepts at -1, 0, and 4?
a.
(x + 1), and (x - 4)
c.
(x - 1), and (x + 4)
b.
x, (x + 1), and (x - 4)
d.
x, (x - 1), and (x + 4)
 

 38. 
What is the solution set for       (3x + 1)2 = 0?
 

 39. 
Two factors of a polynomial, P(x), are (x + 6) and (x - 3). Which are the zeros of P(x)?
 a.
1
 c.
-3
 e.
-1
 b.
6
 d.
-6
 f.
3
 

 40. 
What are the y-coordinate(s) of the ordered pairs for the solution to the system of equations shown?
mr040-1.jpg
 a.
-1
 c.
3
 e.
-3
 g.
-11
 b.
23
 d.
0
 f.
2
 h.
-2
 

 41. 
Which best represents the graph of          |2x - 1| > 5?
a.
mc041-1.jpg
b.
mc041-2.jpg
c.
mc041-3.jpg
d.
mc041-4.jpg
 

 42. 
What is a factor of a polynomial function if its graph has x-intercepts at -5, 0, and 2?
a.
x + 10
b.
x + 2
c.
x + 5
d.
x -10
e.
x -5
 

 43. 
Which is a solution to        2x2 - 7x + 3 = 0?
a.
x = 3
b.
x = 2
c.
x = -3
d.
mc043-1.jpg
 

 44. 
Given: f (x) = x3 - 3x and g(x) = x2 - 8.    What is f (10) - g(10)?
 

 45. 
Which set of ordered pairs is the solution to the system of equations shown?
mc045-1.jpg
a.
{(0, -1), (3, 2)}
b.
{(0, 3), (-1, 2)}
c.
{(3, 2), (6, -11)}
d.
{(0, -1), (6, 23)}
 

 46. 
The chart shows city real estate taxes paid by four families and the assessed value of their homes.
mc046-1.jpg
The tax on the Miller home was $1,700.  What was the assessed value?
a.
$70,000
b.
$68,000
c.
$60,000
d.
$65,000
 

 47. 
The length, s, (in feet) of the skid mark left by an automobile traveling at r miles per hour can be approximated by the relation mc047-1.jpg.  At the scene of an accident, police measured a skid mark of 361 feet. About how many miles per hour was the car traveling when the brakes were applied?
a.
42 mph
b.
76 mph
c.
54 mph
d.
85 mph
 

 48. 
Larry made a scatterplot showing the apparent height of a football at one-second intervals during the time period the ball was in the air.
      mc048-1.jpg
Which is most likely the equation for the curve of best fit for the relationship?
a.
mc048-2.jpg
c.
mc048-4.jpg
b.
mc048-3.jpg
d.
mc048-5.jpg
 

 49. 
What are the x-coordinates of the solution set for this system of equations?
mr049-1.jpg
 a.
-7
 c.
-23
 e.
1
 g.
-1
 b.
-5
 d.
23
 f.
0
 h.
5
 

 50. 
What are the y-coordinates of the solution set for this system of equations?
mr050-1.jpg
 a.
-7
 c.
1
 e.
-5
 g.
23
 b.
-23
 d.
-1
 f.
5
 h.
0
 

 51. 
Which of the following is most likely the equation graphed below?
mc051-1.jpg
a.
y = 5(x - 1)2 - 2
b.
y = (x - 2)2 + 2
c.
y = (x + 2)2 + 1
d.
y = (x - 2)2 - 1
 

 52. 
Which type of function is shown?
mc052-1.jpg
a.
Linear
b.
Exponential
c.
Quadratic
d.
Absolute value
 

 53. 
What is the solution set for this system of equations?
mc053-1.jpg
a.
{(5, -7), (-1, -1)}
b.
{(1, 1), (-5, 23)}
c.
{(1, -7), (-5, 23)}
d.
mc053-2.jpg
 



 
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