Worksheets1st Quarter Practice Benchmark (M1)
Total questions: 30
Worksheet time: 18mins
Based on the graph, what is the most reasonable domain for the function?
Which formula can be used to determine the number of baseballs purchased, x, given the total cost, T, and the number of soccer balls purchased, y?
Which relation represents a function?
If 𝟎 ≤ 𝒙 ≤ 𝟐𝟎, which function, 𝒇(𝒙), models the total amount of soil, in ounces, remaining in the bag based on the number of succulents, 𝒙, planted in the garden?
𝑓(𝑥) = −0.6𝑥 + 12
𝑓(𝑥) = 0.6𝑥 + 12
𝑓(𝑥) = 12𝑥 − 0.6
𝑓(𝑥) = 12𝑥 + 0.6
Which statement is true?
What is the value of x in the equation?
3
4
6
10
What is the amount of money, in dollars, the student has when 0 tickets have been purchased?
(a)
What is the value of r?
(a)
What is the average rate of change, in fluid ounces per hour, from hour 1 to hour 5?
(a)
What is the value of f(12)?
(a)
What is the value of q?
(a)
What is the change in the cost, in dollars per pizza, of ordering each pizza, when x increases by 1?
(a)
Which equivalent equation could complete the table correctly?
Which inequality can be used to find the number of chairs, x, the homeowner can buy?
110𝑥 + 35 > 250
110𝑥 + 35 ≤ 250
35𝑥 + 110 > 250
35𝑥 + 110 ≤ 250
Which statement is true?
The coefficient 35 represents an initial amount of $35 on the prepaid train depot card, while the coefficient of the term −2.75𝑥 represents a deduction of $2.75 per use of the train.
The coefficient 35 represents an initial amount of $35 on the prepaid train depot card, while the constant −2.75𝑥 represents an addition of $2.75𝑥 per use of the train.
The constant 35 represents an initial amount of $35 on the prepaid train depot card, while the coefficient of the term −2.75𝑥 represents a deduction of $2.75 per use of the train.
The constant 35 represents an initial amount of $35 on the prepaid train depot card, while the constant −2.75𝑥 represents an addition of $2.75𝑥 per use of the train.
The equation 𝒚 = 𝟏. 𝟐𝟓𝒙 + 𝟏𝟐 represents the total cost, 𝒚, in dollars, for using a taxi service to travel a distance of 𝒙 miles. Which graph best represents the equation?
Which equation represents the number of miles the traveler can drive until there are only 𝟓 gallons of fuel remaining in the tank?
If 𝟎 ≤ 𝒙 ≤ 𝟖, which statement is true?
The function is decreasing, and the maximum of the function is located at (0, 80).
The function is decreasing, and the minimum of the function is located at (0, 80).
The function is increasing, and the maximum of the function is located at (0, 80).
The function is increasing, and the minimum of the function is located at (0, 80).
If the equation 𝟐(𝟑𝒙 + 𝟐) + 𝟐(𝒚 + 𝟐) = 𝟒𝟒 represents the perimeter of the rectangle, in inches, which represents the equation when solved for 𝒚?
𝑦 = 7 − 3x
𝑦 = 18 − 3x
𝑦 = 22 − 3𝑥
𝑦 = 40 − 3x
Which description could the graph represent?
Which describes a first step the student could use to solve the equation correctly?
Which value of 𝒙 makes the equation 𝟒(𝟐𝒙 + 𝟏. 𝟑) = −𝟐𝟎. 𝟖 true?
−3.25
−1.95
1.95
3.25
Which ordered pair should be removed so that the relation represents a function?
(−5, −1)
(−1, −4)
(1, −1)
(4, 6)
Which statement about f(20) is true?
The value of 𝑓(20) is 60, which represents 60 erasers being sold in the first 20 days of school.
The value of 𝑓(20) is 60, which represents 60 erasers remaining for sale after the first 20 days of school.
The value of 𝑓(20) is 240, which represents 240 erasers being sold in the first 20 days of school.
The value of 𝑓(20) is 240, which represents 240 erasers remaining for sale after the first 20 days of school.
Which function, 𝒇(𝒕), represents the amount of water, in gallons, in the pool 𝒕 hours after the homeowner begins adding water to the pool, where 𝟎 ≤ 𝒕 ≤ 𝟏𝟓?
If 𝟎 ≤ 𝒙 ≤ 𝟓, which statement is true about the function when graphed on a coordinate plane?
The function 𝑓(𝑥) has an 𝑥-intercept located at (0, 5) and a 𝑦-intercept located at (0, 100).
The function 𝑓(𝑥) has an 𝑥-intercept located at (0, 5) and a 𝑦-intercept located at (100, 0).
The function 𝑓(𝑥) has an 𝑥-intercept located at (5, 0) and a 𝑦-intercept located at (0, 100).
The function 𝑓(𝑥) has an 𝑥-intercept located at (5, 0) and a 𝑦-intercept located at (100, 0).
Which statement is true about the graph on the interval from 𝒕 = 𝟏 to 𝒕 = 𝟒?
The average rate of change is 2, meaning the depth of the soil increases by 1 inch every 2 minutes.
The average rate of change is 2, meaning the depth of the soil increases by 2 inches every 1 minute.
The average rate of change is 3, meaning the depth of the soil increases by 1 inch every 3 minutes.
The average rate of change is 3, meaning the depth of the soil increases by 3 inches every 1 minute.
If 𝒙 represents the number of days a car is rented, and 𝒚 represents the total cost of renting the car, what is the most appropriate domain for the situation, when graphed on a coordinate plane?
𝑥 is an integer, where 0 < 𝑥 ≤ 1,390.
𝑥 is an integer, where 1 < 𝑥 ≤ 14.
𝑥 is an integer, where 14 ≤ 𝑥 ≤ 155.
𝑥 is an integer, where 155 ≤ 𝑥 ≤ 1,390.
Which characteristics describe the graph of the function correctly?
The function is decreasing and has a 𝑦-intercept at (4, 0).
The function is decreasing and has an 𝑥-intercept at (4, 0).
The function is increasing and has a 𝑦-intercept at (4, 0).
The function is increasing and has an 𝑥-intercept at (4, 0).
What is the solution to the inequality?
𝑥 > 1
𝑥 < 1
𝑥 < 10
𝑥 > 10
