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Name: 1) Find the roots of -­ 5x = 2 to the nearest tenth.
Show your work.
Answer: _______________
Question 2 refers to the following:
Solve the given quadratic equation by taking a square root and express irrational roots in radical form:
2) Show your work.
Answer: ____________________
3) Which of the following graphs represents the solution to the system of inequalities below?
2y + 3x ≥ 6
2x -­ y ≤ 6
A) B) C) Question 4 refers to the following:
Determine a system of linear inequalities that is represented by the given graph:
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4) Inequalities: _______________ and _______________
5) What is the third term of the sequence defined by A) 7
B) 9
C) 11
and f(n) = 3f(n -­ 1) + 1 when n > 1?
D) 5
6) What are the first three terms of the sequence defined by the recursive formulas f(1) = 2 and f(n) = 3f(n -­
1) + 1 when n > 1?
A) 2, 10, 28
B) 4, 9, 13
C) 2, 7, 22
D) 2, 5, 14
7) What is the range of the function A) x ≥ -­4
B) x ≤ -­4
-­ 24x -­ 51?
C) y ≥ -­3
8) In the equation A = p + prt, t is equivalent to
A) -­ pr
B) C) D) y ≤ -­3
D) -­ p
9) Solve the given formula for r: Show your work.
Answer: _______________
10) What is the range of A) y ≥ 7
?
B) y ≥ 4
C) y = 7
D) y ≥ -­4
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11) Determine the largest interval for which the graph of f(x) = 5(x -­ Show your work.
-­ 10 is decreasing.
Question 12 refers to the following:
Determine the zeros of the given function:
12) Show your work.
Answer: _______________
13) Find the equation of the axis of symmetry and the coordinates of the vertex for Show your work.
Axis of symmetry: __________
Vertex: __________
-­ 4x + 6.
14) What is an equation of the graph below?
A) f(x) = (x -­ -­ 2
B) -­ 2
C) -­ 2
D) f(x) = 2(x -­ -­ 2
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15) What is an equation of the graph below?
A) f(x) = -­2(x -­ -­ 5 B) f(x) = -­2(x -­ C) D) -­ 5
16) What is the best estimate of the real zeros of the function graphed below?
A) -­2, 1
B) -­1, 2
C) -­1, , 2
D) -­1, 17) Write an equation of a quadratic polynomial function that has zeros of 2 and -­3.
Answer: ____________________
18) Given the function f(x) = (2x + 1)(x -­ 6)(x -­ 4).
Part A
Find y-­intercept of the graph of this function.
Show your work.
Answer: __________
Part B
Determine the zeros of function f.
Show your work.
Answer: _______________
, 2
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19) What is the domain of the function A) {x|x ≥ 4}
B) {x|x < 0}
?
C) {x|x ≤ 4}
D) {x|x > 0}
20) Which one of the following equations could produce the graph shown?
A) y B) y C) D)  
21) Which one of the following graphs is the graph of ?
 
A) B) C) D) d15264e1 -­ Page 6
22) Which of the following describes the graph shown?
A) C)  
 
 
 
 
B)  
 
D)  
23) On the graph paper provided, graph 24) The graph if is translated 3 units to the left and 4 units
down. What is the equation of the graph that results from this
translation?
A) B) C) .
-­ 4
D) -­ 3
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Question 25 refers to the following:
The accompanying graph is a translation of the parent function f(x)=x2. Determine an equation for the graph
of function g(x).
25) Equation: ____________________
26) On January 1, 1999, the price of gasoline was $1.39 per gallon. If the price of gasoline increased by 0.5%
per month, what was the cost of one gallon of gasoline (to the nearest cent) on January 1 one year later?
Show your work.
Answer: _______________
27) To the nearest dollar, determine the value of a $2,500 investment if it is invested at 7% annual interest rate
and is compounded quarterly for a period of 5 years?
Show your work.
Answer: $__________
28) What is the interquartile range for the data set {30, 22, 36, 24, 36, 34, 35, 37, 21, 38, 19, 29}?
A) 19
B) 14
C) 13
D) 9
29) Data collected during an experiment are shown in the accompanying graph.
What is the range of this set of data?
A) {x|1 ≤ x ≤ 10}
B) {y|2.5 ≤ y ≤ 9.5}
C) {x|2.5 ≤ x ≤ 9.5}
D) {y|0 ≤ y ≤ 100}
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30) Look at the graph below.
What is the median, lower and upper quartiles, and interquartile range of this data?
Median: __________
Lower quartile: __________
Upper quartile: __________
IQR: __________
31) The table shows the average snowfall in centimeters recorded one winter at a ski resort over a period of
days.
Using this set of data, find the standard deviation of the snowfall to the nearest tenth.
Show your work.
Answer: __________
32) In Australia, a study of farms with 30 or fewer sheep produced the following data.
Part A
Find both the mean for the number of sheep per farm and the standard deviation to the nearest tenth.
Show your work.
Mean: __________
Standard deviation: __________
Part B
What is the total number of farms that lie within one standard deviation of the mean?
Answer: __________
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33) The chart below shows the number of minutes studied and the grade received on a test.
Part A
Use a graphing calculator to determine an equation for the line of best fit for this data. [Round all
constants to the nearest hundredth.]
Answer: ____________________
Part B
Write an interpretation of the slope and the y-­intercept of the linear equation found in Part A in context of
the data for this problem.
Question 34 refers to the following:
Determine if the accompanying residual plot would best represent a linear relationship or a non-­linear
relationship:
34) Explain your reasoning.
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Question 35 refers to the following:
For the given scatter plot with the line of best fit shown, sketch an approximation of the residual plot
association with this data set on the axes provided:
35) 36) Part A
Using the points identified on the scatter plot below, determine a line of best fit for the height of a plant
over a period of days. [Round all coefficients to the nearest hundredth.]
Answer: ____________________
Part B
Use your line of best fit from Part A to predict the height of the plant after 70 days. Show your work.
Answer: __________ cm
Part C
Use your line of best fit from Part A to predict how many days (to the nearest day) it will take for the
plant being observed to reach a height of 12 cm. Show your work.
Answer: __________ days
Part D
Calculate the residual for a time of 20 days and a plant height of 6 cm. Show your work.
Answer: __________ cm