No student devices needed. Know more
30 questions
1. Jeri is a hairdresser. The table shows the relationship between the number of clients she has per month, x, and her monthly revenue, f(x). Based on the relationship shown in the table, which function represents the situation?
f(x) = 4x + 720
f(x) = 12x - 144
f(x) = 8x - 96
f(x) = 100x - 1200
2. Each statement describes a transformation of the graph of y = x2. Which statement correctly describes the graph of y = (x + 4)2 - 7?
It is the graph of y = x2 translated 4 units down and 7 units to the left.
It is the graph of y = x2 translated 7 units down and 4 units to the left.
It is the graph of y = x2 translated 4 units up and 7 units to the left.
It is the graph of y = x2 translated 7 units down and 4 units to the right.
3. Compare the functions below which are represented in the table, and get the write statement.
f(x) = 8x + 3
g(x)= 3x
As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
At x = 3, the rate of change of g(x) is equal to the rate of change of f(x).
For every value of x, the rate of change of f(x) exceeds the rate of change of g(x).
4. Pizza PDQ hosted two pizza parties last Friday. The number of slices of pizza eaten by partygoers is displayed on the dot plots. Based on this data, which of the following generalizations can be made?
The medians and means of both data sets are close to or equal to 3.
Each data set has a mean of 3. The medians are not equal.
Each data set has a mean of 3. Each data set has a median of 3.
The medians and means of both data sets are not close in value.
5. The following formula can be used to find the period of a simple pendulum. If the pendulum length (L) is in meters, and gravity (g) is in meters per second squared, then in what unit is the pendulum period (T) measured?
seconds per meter
meters
seconds
seconds squared
6. Which of the following shows that the sum of two irrational numbers can be rational?
(5 +π)+(2−π)
2 π + 4π
(5+2)−(1−5)
32+23
7. Find the value of f(-1) for the function below.
19,683
13,122
512
118,098
8.Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour.
After how many hours will Charley have packed the same number of boxes of juice as Teddy?
15
8
2
Neither
9. Li and Jen went shopping.
• Li bought 5 pairs of earrings and 1 necklace for a total of $75.
• Jen bought 1 pair of earrings and 2 necklaces for a total of $60.
Each pair of earrings cost e dollars and each necklace cost n dollars. Which system of equations can be used to find the cost, in dollars, of each pair of earrings and each necklace?
5e + n = $75
e + 2n = $60
5e + 2n = $75
e + n = $60
5e + n = $75
2e + n = $60
e + 5n = $75
e + 2n = $60
10.Re-write the expression using rational exponents.
7y23
7y32
721y32
721y23
11. What is the factored form of the following expression?
3(x+1)2
9(x+1)2
(9x+1)(x+9)
3(x+3)(3x+1)
12. Find the zeros of the following quadratic function
x=−54 ; x=−3
x=5 4 ; x =−3
x=−54 ; x =3
x=54 ; x = 3
13.The graph of the equation Ax +3y = 48 passes through the point (–3, 14).
What value of A accurately completes the equation?
2
-30
30
-2
14. An amusement park opens daily at 9:30 a.m. This morning the parking lot for the amusement park opened at 8:00 a.m. At 9:00 a.m., there were 150 cars in the parking lot. The parking attendants noticed that every half hour between 9:00 a.m. and 10:30 a.m., the number of cars in the parking lot tripled.
What type of function appropriately models this situation?
exponential growth
linear decay
linear growth
exponential decay
15. In the following formula, vi is initial velocity, ve is ending velocity, a is acceleration, and d is distance. If vi is 7 meters per second, a is 8 meters per second squared, and d is 2 meters, what is the value of ve ?
9 meters per second
6.25 meters per second
4.12 meters per second
5.74 meters per second
16. Given the following formula, solve for x.
x=2av2−vo2+xo
x=2av2−vo2+xo
x=xov2−vo2−2a
x=2av2−vo2−xo
17. Simplify the following expression.
12x3−18x2−52x+55
12x3−42x2+8x+55
12x3−42x+8x−55
12x3+18x2−52x−55
18. Solve the following inequality for x.
x≥14
x≥8
x≤8
x≤14
19. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function below describes the relationship between the number of miles m and the total cost of the ride C. If the taxi company charges you $13.00 how far did you travel?
46.66 miles
4 miles
40 miles
4.2 miles
20. The graph of f(x) is shown.
If g(x) = 9(x - 8)2 - 6, which statement is true?
The minimum value of g(x) is less than the minimum value of f(x).
The minimum value of g(x) is greater than the minimum value of f(x).
The minimum value of g(x) is the same as the minimum value of f(x).
The maximum value of g(x) is greater than the maximum value of f(x).
21. Find the solution to the system of equations given below.
4x+3y=−20
6x+12y=−10
x=−3 41 ; y=6
x=−7 ; y= 38
x=3 ; y −332
x=−6 ; y =613
f(x)=x2+16x+61
22. Find the axis of symmetry of the following quadratic function by completing the square or using the formula.
x=-3
x=-8
x=3
x=8
23. Mr. Roberts is the soil conservation agent for Caddo County and just completed a study of the feral hog population in the county. He created the expression below to represent the projected population after t years.
75(1.04)2t
Which statement below best describes the
coefficient, 75?
The rate at which the population is changing
The size of the yearly population change
The rate at which the population was changing before the study
The size of the initial population
24. Which of the following is equivalent to the expression below?
42+332
16+3
16 + 39
8+3
8+ 39
25. Determine if the following quadratic expression has a maximum or a minimum, and at what point, by completing the square or using the formula.
It has a minimum at (7,-143)
It has a maximum at (7,143)
It has a maximum at (-7,147)
It has a minimum at (-7,-147)
26.Choose the two-way relative frequency table which represents the two-way frequency table above.
27. Which of the following statements is false?
The sum of a rational number and an irrational number is
irrational.
The product of two rational numbers is rational.
The sum of two rational numbers is rational.
The product of a nonzero rational number and an irrational number is rational.
28. The graph of f(x) = 7x is shifted 8 units up. What is the equation of the new graph?
g(x) = 7(x - 8)
g(x) = 7x + 8
g(x) = 7x - 8
g(x) = 7(x + 8)
29. Clayton is plowing a wheat field. There are a total of 320 acres to be plowed. If he can plow 5 acres per hour, which equation would represent A, the number of acres left to plow, after Clayton has plowed for h hours?
A = 320 - 5h
A = 320 + 5h
A = 5 - 320h
A = 5 + 320h
30. Simplify the following expression.
39x21−15x6+3x3+299x4+115x2+23x
39x7−15x5+302x4−115x2+69x+23
39x7−15x5+302x4−115x2+23x
39x7−15x6−x3+299x4−115x2+23x
Explore all questions with a free account