The graph of quadratic function h is shown on the grid.
Which function is best represented by the graph of h?
Required
2 points
2
Question 3
3.
The value of y varies directly with x. When the value of x is 4, the value of y is -12.
What is the constant of variation when y is a function of x, and what is the value of y when x = -6?
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
The constant of variation is _______ .
The value of y when x = -6 is _______ .
Other Answer Choices:
2
18
-18
-2
-3
-\frac{1}{3}
3
\frac{1}{3}
Required
1 point
1
Question 4
4.
Which graph best represents a quadratic function that has no real zeros?
Required
1 point
1
Question 5
5.
An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years.
A(t)=1,550(1.02)^t
Which statement best interprets one value in the function?
Required
1 point
1
Question 6
6.
Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all value of x and y where the expression is defined?
Required
1 point
1
Question 7
7.
The graph of a line is represented by the equation by the equation 5x-8y=40. Which value represents the rate of change of y with respect to x for the equation?
Required
2 points
2
Question 8
8.
The first five terms of a sequence are a_{1}=47, a_{2}=33, a_{3}=19, a_4={5}, and a_{5}=-9.
Based on this information, create an equation that can be used to find the nth term of the sequence, a_{n}.
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
a_{n}=________ n+_______
Other Answer Choices:
47
-61
14
61
-14
-47
Required
1 point
1
Question 9
9.
What is the range of the function f(x)=-x^{2}+60x?
Required
1 point
1
Question 10
10.
A counselor asked college student who had jobs how many hours they worked each week. The counselor then compared the number of hours each student worked and the student's overall grade average. The table shows the data.
Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?
Required
1 point
1
Question 11
11.
Which statement about the graph of y=16(0.5)^x is NOT true?
Required
2 points
2
Question 12
12.
What is the solution set that best describes the inequality y\ge\frac{1}{2}x-2?
Graph the solution set of the linear inequality in the coordinate plane.
Required
1 point
1
Question 13
13.
Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount.
The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts.
The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts.
What is the cost of 1 cup of coffee?
Required
1 point
1
Question 14
14.
The graph of a linear function is shown.
Which function best represents the relationship shown in the graph?
Required
1 point
1
Question 15
15.
Two hikers begin hiking at the saem time from different locations on a trail. The system of equations graphed on the grid represents this situation.
Which value best represents the number of hours the two hikers have been hiking when they are the same distance from the start of the trail?
Required
1 point
1
Question 16
16.
Which function is equivalent to f(x)=6x^{2}-23x+21?
Required
2 points
2
Question 17
17.
A part of an exponential function is graphed on the grid.
Which statements are true about the domain and range of the part of the function shown?
Select TWO correct answers.
Required
1 point
1
Question 18
18.
Function g is defined by g(x)=3x^{2}-2x-5. What are the solutions to g(x)=0?
Required
1 point
1
Question 19
19.
The table represents some points on the graph of an exponential function.
Which function represents the relation shown in the table?
Required
1 point
1
Question 20
20.
Which situation best represents association but NOT causation?
Required
1 point
1
Question 21
21.
The quadratic function f(x)=x^2 is transformed to create g as shown in the graph.
What is the equation for g?
Required
2 points
2
Question 22
22.
Graph the line represented by the equation 2x+3y=6.
Required
1 point
1
Question 23
23.
A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented.
What are the domain and range of the function for this situation?
Required
1 point
1
Question 24
24.
What value of m makes the \frac{2}{3}(m-9)=\frac{1}{3}(m-27)?
Required
2 points
2
Question 25
25.
A graph of a quadratic function is shown on the grid.
Complete the statement about the quadratic function.
Move the correct answer to each box. Not all answers will be used.
The function has a ____________ value of _______ .
Other Answer Choices:
-4
1
maximum
-1
0
-3
minimum
Required
1 point
1
Question 26
26.
Hot dogs and bags of popcorn were sold at a concession stand. One family paid $8.00 for 2 hot dogs and 3 bags of popcorn. Another family paid $16.50 for 5 hot dogs and 4 bags of popcorn.
Which system of equations can be used to determine the price in dollars of a hot dog, x, and the price in dollars of a bag of popcorn, y?
Required
1 point
1
Question 27
27.
An exponential function has these characteristics:
The y-intercept is 2.
The function increases at a rate of 50%.
Which graph best represents this function?
Required
1 point
1
Question 28
28.
The graph shows point W and line p.
Which equation best represents the point-slope form of the line that passes through W and is parallel to line p?
Required
1 point
1
Question 29
29.
If f(x)=x^2 and g (x)=f (x+7.2), what is the vertex of the graph of g?
Required
2 points
2
Question 30
30.
The altitude of an airplane is changing at a constant rate. The table shows the linear relationship between y, the altitude of the airplane in feet, and x, the time in minutes.
Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.
Choose the correct answer from each drop-down menu to complete the sentence.
The altitude of the airplane __________ at a rate of __________ feet per minute.
Required
1 point
1
Question 31
31.
What are the solutions to the equation 5(x+3)^{2}=75?
Required
1 point
1
Question 32
32.
A part of quadratic function g is graphed on the grid.
What is the domain of the part of the function shown?
Required
1 point
1
Question 33
33.
Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} where the expression is defined?
Required
2 points
2
Question 34
34.
For quadratic function h, h(-\frac{3}{2})=0 and h(5) = 0. What is a possible equation for h in factored form?
Move the correct answer to each box. Not all answers will be used.
Other Answer Choices:
(2x-3)
(2x+3)
(3x-2)
(x + 5)
(3x+2)
(x-5)
Required
1 point
1
Question 35
35.
A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of teh triangle in units?
Required
1 point
1
Question 36
36.
The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.
Which linear equation represents the total cost in dollars, y, for x tickets?
Required
1 point
1
Question 37
37.
Which expression is a factor of x^{2}+7x-30?
Required
2 points
2
Question 38
38.
The graph of f(x)=x is transformed to create the graph of g(x)=\frac{1}{2}f(x)+3. Complete the statement to compare the graphs of f and g.
Choose the correct answer from each drop-down menu to complete the sentence.
The graph of g is __________ the graph of f and has a y-intercept that is __________ that of f.
Required
1 point
1
Question 39
39.
Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p.
Which system of equations represents line n and line p?
Required
1 point
1
Question 40
40.
Which function is equivalent to f(x)=4(x-3)^{2}+5?
Required
1 point
1
Question 41
41.
Which graph best represents the solution set of x+2y\ge2?
Required
1 point
1
Question 42
42.
A system of linear equations is shown.
6x-2y=10
y=3x-5
Which statement about the system is true?
Required
1 point
1
Question 43
43.
A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year.
Write an exponential function to model the number of employees in the company, y, after x years.
Enter your answer in the box provided.
y= _______
Required
1 point
1
Question 44
44.
Which relation best represents y as a function of x?
Required
1 point
1
Question 45
45.
The function f(x)=-4x+8 represents the first of two equations in a system of linear equations. The second equation in the system has a different slope than the first equation.
Which statement is true about the solution to the system of equations?
Required
1 point
1
Question 46
46.
What is the solution to the equation 7w-2(w-9)=4-8(w+2)?
Required
2 points
2
Question 47
47.
Choose two factors to create an expression equivalent to 4x^{2}-81.
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
Other Answer Choices:
2x+9
2x-9
4x+9
9x-2
9x+2
4x-9
Required
1 point
1
Question 48
48.
If f(x)=3x^{2}-7, what is the value of f(4)?
Required
1 point
1
Question 49
49.
An athlete ran at a constant speed for 12 seconds. The part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x.
What is the domain of the function for this situation?
Required
1 point
1
Question 50
50.
The graph of a linear function is shown on the grid.
What value best represents the y-intercept of the line?
