- 1. Which of the following is the solution to the following system of equations?
4x + y = 2
8x + 2y = 5
A) (0, 7)
B) infinitely many solutions
C) (-4, -8)
D) no solution
- 2. Determine the solution to the following system of equations.
x - 3y = 1
2x - 6y = 2
A) no solution
B) ( 1, 2)
C) (0, 3)
D) inifinitely many solutions
- 3. What is the slope of this line?
A) -1/2
B) 1
C) -1
D) 1/2
- 4. What are the x-intercepts of the graph of
y = 2x2 + x - 6?
A) 3/2 and -2
B) -2/3 and -2
C) -3/2 and 2
D) 2/3 and 2
- 5. The amount of money, in dollars, Grace has in her savings account is modeled as a function of time in months. This function is represented by the graph below.
What is the average rate of change for the amount of money, in dollars per month, from month 0 to month 6?
A) $100 per month
B) $50 per month
C) $75 per month
D) $25 per month
- 6. Look at the function that is graphed below. What is the maximum value of this function?
A) 4
B) 1
C) -4
D) 0
- 7. What is the x-intercept of the line graphed below?
A) 2
B) 6
C) -3
D) 1/2
- 8. What is the equation of the line graphed below?
A) y = 5
B) x = 5y
C) y = 5x
D) x = 5
- 9. Find the zeros for the graph of the function below.
y = x2 - 9
A) (x, 0), (y, 0)
B) (-3, 0), (3, 0)
C) (0, -3), (0, 3)
D) (-1.5, 0), (1.5, 0)
- 10. At which point on the graph does the minimum occur?
A) (1, 0)
B) (-5, 0)
C) (-2, -5)
D) (-5, -2)
- 11. Which graph below represents a quadratic function whose roots are 3 and -1?
A) C
B) D
C) B
D) A
- 12. What are the x-intercept and y-intercept of the graph shown?
A) x-intercept (0, -2); y-intercept (-4, 0)
B) x-intercept (-2, 0); y-intercept ( -4, 0)
C) x-intercept (0, -4); y-intercept (-2, 0)
D) x-intercept (-4, 0); y-intercept (0, -2)
- 13. Given the equation x2 - 6x = 3, what number should be added to both sides to complete the square?
A) 36
B) 3
C) 6
D) 9
- 14. Which best represents the graph of
y = -x2 + 3?
A) A
B) B
C) C
D) D
- 15. The graph of the equation y = -x2 +6x - 5 is shown below. For what values of x is y = 0?
A) x = 1 only
B) x = 5 only
C) x = 5 and x = 1
D) x = -5 and x = -1
- 16. What are the solutions for the quadratic equation
y = x2 - 17x + 72?
A) -9, -6
B) -9, 6
C) 9, -6
D) 9, 6
- 17. Consider the following parallel boxplots illustrating daily temperatures (in degrees Fahrenheit) of an upstate New York City during the months of June and December.
Which of the following are true statements?
A. The interquartile ranges are the same.
B. The ranges are the same.
C. The June median temperature is lower than the December median temperature.
A) A only
B) C only
C) A and B only
D) B only
- 18. The scores of students in Mr. Castro's two Math classes, Class A and Class B, are listed in order below. Determine which of the following statements is true about Class B.
CLASS A: 23, 50, 52, 53, 57, 58, 59, 63, 65, 67, 71, 78, 80, 85, 92
CLASS B: 27, 43, 45, 46, 54, 54, 60, 61, 61, 68, 71, 79, 83, 88
A) Class B has a smaller median and the same interquartile range.
B) Class B has the same median and the same interquartile range as Class A.
C) Class B has the same median and a larger interquartile range as Class A.
D) Class B has a smaller median and a larger interquartile range.
- 19. Which graph represents the solution to the following system of equations?
7x - y = 19
-2x + 3y = -19
A) A
B) B
C) D
D) C
- 20. Which of the following options below shows
y = -1/4x - 1 correctly graphed on a coordinate plane?
A) B
B) D
C) C
D) A
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