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- 1. Multiple Choice
What is the slope of the graph of y = 12x - 19?
-19
-12/19
19/12
12
- 2. Multiple Choice
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.
0 ≤ x ≤ 230
6 ≤ y ≤ 36
0 ≤ y ≤ 36
6 ≤ x ≤ 230
- 3. Multiple Choice
Which value of x makes the equation 1.25(4x − 10) = 7.5 true?
3.5
-1
-0.5
4
- 4. Multiple Choice
Which function is equivalent to g( x ) = x2 + 15x − 54?
g(x) = (x + 9)(x − 6)
g(x) = (x + 18)(x − 3)
g(x) = (x − 9)(x + 6)
g(x) = (x − 18)(x + 3)
- 5. Multiple Choice
The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?
14 ft/yr
3 ft/yr
7 ft/yr
10 ft/yr
- 6. Multiple Choice
What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?
y = 0.25x + 3
y = 0.25x − 4.5
y = 4x + 18
y = 4x − 42
- 7. Multiple Choice
Which graph best represents -5y = -6x + 15?
- 8. Multiple Choice
A baker determined the annual profit in dollars from selling pies using p(n) = 52n − 0.05n2, where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?
$20,780
$12,800
$28,800
$20,760
- 9. Multiple Choice
An exponential function is graphed on the grid.
g(x) = 6(1/3)x
g(x) = 6(3)x
g(x) = 6 − (1/3)x
g(x) = 6 − (3)x
- 10. Multiple Choice
What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = −4/9x + 5?
y =4/9x + 16
y =4/9x - 16
y =9/4x + 81
y =9/4x - 81
- 11. Multiple Choice
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Domain: All real numbers greater than or equal to 0 and less than or equal to 100 Range: All real numbers greater than or equal to 0 and less than or equal to 50
Domain: {-2} Range: {100}
Domain: All real numbers greater than or equal to 0 and less than or equal to 50 Range: All real numbers greater than or equal to 0 and less than or equal to 100
Domain: {100} Range {-2}
- 12. Multiple Choice
The graph of quadratic parent function f was transformed to create the graph of g(x) = f (x + 2) − 5. Which graph best represents g?
- 13. Multiple Choice
- 14. Fill in the Blank
What is the positive solution to this equation?
4x2 + 12x = 135
Record your answer and fill in the bubbles on your answer document
- 15. Multiple Choice
A grill at a barbecue restaurant will be used to cook sausage links that are 2lb each and briskets that are 6 lb each. No more than 120lb of sausage links and briskets will be cooked on the grill.
Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
6x + 2y < 120
2x + 6y ≤ 120
6x + 2y > 120
2x + 6y ≥ 120
- 16. Multiple Choice
Which expression is equivalent to (10 + 7r-r2) + (−6r2 − 18 + 5r)?
−7r2 + 2r + 8
7r2 + 12r + 8
−7r2 + 12r - 8
−7r2 + 2r - 8
- 17. Multiple Choice
Which graph best represents the solution set of y > 3x − 4?
- 18. Multiple Choice
A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by b (x)= 850(1.025)x.
Which statement is the best interpretation of one of the values in this function?
The initial balance of the account decreases at a rate of 97.5% each year.
The balance in the account increases at a rate of 2.5% each year.
The initial balance of the account was $1,025.
The balance in the account at the end of one year is $850
- 19. Multiple Choice
A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.
Which function best models the data?
n(t) = −0.002t2 + 0.55t + 5.02
n(t) = 0.072t2 − 0.15t + 2.73
n(t) = −0.002t2 + 5.02
n(t) = 0.072t2 + 2.73
- 20. Fill in the Blank
The graph of a linear function is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer and fill in the bubbles on your answer document.
- 21. Multiple Choice
Which graph best represents y = −x2 + 6x − 1?
- 22. Multiple Choice
A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?
77
137
83
105
- 23. Multiple Choice
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
y + 2 = 7/5(x+7)
y - 2 = 7/5(x-7)
y + 2 = 5/7(x+7)
y - 2 = 5/7(x-7)
- 24. Multiple Choice
Which expression is equivalent to (xy-6)2 for all values of x and y where the expression is defined?
xy-36
xy36
x2y-12
x2y12
- 25. Multiple Choice
A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.
How many courses worth 3 credits did the student complete?
13
5
20
39
- 26. Multiple Choice
The graph of linear function f passes through the point (1, −9) and has a slope of -3.
What is the zero of f?
2
4
-6
-2
- 27. Fill in the Blank
What is the value of the y-intercept of the graph of h(x) = 29(5.2)x?
Record your answer and fill in the bubbles on your answer document.
- 28. Multiple Choice
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x) = x2− 3x - 9
h(x) = x2 + 3x − 9
h(x) = x2 − 6x
h(x) = x2 + 6x
- 29. Multiple Choice
Which expression is equivalent to 24x2 - 22x + 5?
(12x + 5)(2x + 1)
(8x − 5)(3x − 1)
(12x − 5)(2x − 1)
(8x + 5)(3x + 1)
- 30. Multiple Choice
A system of equations is graphed on the grid.
Which system of equations does the graph represent?
y = − x - 4
y = 2x − 2
y = −x + 4
y = 2x − 4
y = x − 4
y = −2x − 2
y = x + 4
y = −2x − 4
- 31. Multiple Choice
The table represents some points on the graph of an exponential function
Which function represents the same relationship?
f(x) = 15(5/6)x
f(x) = 18(6/5)x
f(x) = 15(6/5)x
f(x) = 18(5/6)x
- 32. Multiple Choice
The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.
Based on the table, which function models this situation?
f(n) = −3n + 24
f(n) = − 1/3n + 16
f(n) = −3n + 64
f(n) = − 1/3n + 8
- 33. Multiple Choice
The graph of f(x) = x2 was transformed to create the graph of f(x) = f(x) - 9. Which statement about the graphs is true?
The graph of g is a reflection of the graph of f across the x-axis.
The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.
The graph of g is a reflection of the graph of f across the y-axis.
The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
- 34. Fill in the Blank
The expression (x22)(x7)3 is equivalent to xp. What is the value of p?
Record your answer and fill in the bubbles on your answer document.
- 35. Multiple Choice
The graph of linear function k passes through the points ) and (1, 8).
Which statement must be true?
The slope of the graph of k is -4/3.
The graph of k passes through the point (-1,-8).
The zero of k is 7.
The x-intercept of the graph of k is -7.
- 36. Multiple Choice
Which expression is equivalent to 210d2 - 63d?
21d(10d − 3)
21d(10d + 3)
21(10d + 3)
21(10d − 3
- 37. Multiple Choice
What is the value of x in the solution to this system of equations?
3x 5y = 22
y = −5x + 32
−6.5
0.5
6.5
-0.5
- 38. Multiple Choice
Which graph best represents y = 10(0.85)x?
- 39. Multiple Choice
The table shows a linear relationship between x and y
What is the rate of change of y with respect to x?
- 9/2
2/9
-2/9
9/2
- 40. Multiple Choice
Which value of x is a solution to this equation?
5x2 36x + 36 = 0
x = -6
x = 4
x = -1.8
x = 1.2
- 41. Multiple Choice
A part of an exponential function is graphed on the grid.
Which inequality best represents the domain of the part shown?
x ≥ −2
y ≥ 4.5
x ≥ 4.5
y ≥ −2
- 42. Fill in the Blank
What is the solution to -(6m + 8) = 4(17-m)?
Record your answer and fill in the bubbles on your answer document.
- 43. Multiple Choice
Which function is equivalent to y = 3(x + 2)2 + 7?
y = 3x2 + 12x + 33
y = 3x2 + 12x + 19
y = 3x2 + 19
y = 3x2 + 33
- 44. Multiple Choice
Which table shows y as a function of x?
- 45. Multiple Choice
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?
y = 1.2x − 6
y = -1.2x + 6
y = 1.2x + 5
y = -1.2x − 5
- 46. Multiple Choice
The graph of quadratic function k is shown on the grid.
Which statements are best supported by the graph of k?
I. The x-intercept is located at (-3,0).
II. The coordinates of the y-intercept are (0, 9).
III. The axis of symmetry is x = - 3.
I and II only
I and III only
II and III only
I, II, and III only
- 47. Multiple Choice
A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week.
Which graph best represents the solution set for all possible combinations of x, the number of hours she worked at her first job, and y, the number of hours she worked at her second job, in one week?
- 48. Multiple Choice
Which function is equivalent to q(x) = 9x2 − 24x + 16?
q (x) = (9x − 4)(x − 4)
q (x) =(3x + 4)2
q (x) = (9x + 4)(x + 4)
q (x) = (3x − 4)2
- 49. Multiple Choice
Which graph best represents this system of equations and its solution?
8x − 4y = −16
3x + 15y = −6
- 50. Multiple Choice
What are the domain and range of g(x) =-1/4(x-17)2 + 61?
Domain: All real numbers
Range: g(x) ≤ 61
Domain: x ≤ 17
Range: g(x) ≤ 61
Domain: All real numbers
Range: g(x) ≤ 17
Domain: g(x) ≥ 61
Range: g(x) ≤ 17
- 51. Multiple Choice
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
- 52. Multiple Choice
Linear parent function f is graphed on the grid.
Which graph best represents h(x) = −f (x) + 3?
- 53. Multiple Choice
Which expression is equivalent to 4√147?
196√3
12√7
3√7
28√3
- 54. Multiple Choice
The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.
What is the time in seconds the toy robot moves when the total distance is 408 centimeters?
24s
17s
13s
37s
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