Consider the graph of the function representing a stock’s value, in dollars per stock, over x weeks since the stock was purchased, where 0 ≤ x ≤ 20. Based on the graph, which statement is true?

A. On the interval between 4 weeks to 8 weeks, the stock value is always increasing.

B. On the interval between 8 weeks to 12 weeks, the stock value is always decreasing.

C. On the interval between 12 weeks to 16 weeks, the stock value is always decreasing.

D. On the interval between 16 weeks to 20 weeks, the stock value is always increasing.

The sequence a_n = 56 - 3n represents the number of fluid ounces of oil remaining in a bottle after n servings of salad dressing are made. If 1 ≤ n ≤ 7, which table represents the sequence?

n | 2 | 3 | 4 | 5 | 6 | 7 a_n | 56 | 53 | 50 | 47 | 44 | 41 | 38

n | 1 | 2 | 3 | 4 | 5 | 6 | 7 a_n | 56 | 59 | 62 | 65 | 68 | 71 | 74

n | 2 | 3 | 4 | 5 | 6 | 7 a_n | 53 | 56 | 59 | 62 | 65 | 68 | 71

n | 2 | 3 | 4 | 5 | 6 | 7 a_n | 53 | 50 | 47 | 44 | 41 | 38 | 35

What is the inverse of the function f(x) = $$x^2 + 4$$ , where x ≥ 0?

$$f^{-1}(x)$$ = $$\sqrt{x - 4}$$ , where the domain of $$f^{-1}(x)$$ is limited to real numbers greater than or equal to 4

$$f^{-1}(x)$$ = $$\sqrt{x - 2}$$ , where the domain of $$f^{-1}(x)$$ is limited to real numbers greater than or equal to 2

f^{-1}(x) = $$\sqrt{x + 2}$$ , where the domain of f^{-1}(x) is limited to real numbers greater than or equal to -2

f^{(-1)}(x) = , where the domain of f^{(-1)}(x) is limited to real numbers greater than or equal to -4

Consider the equation. [ -1 -3 ] [ w x ] [ -1 -3 ] [ 5 -2 ] + [ y z ] = [ 5 -2 ] Which statement is true?

The matrix [ w x ] can be replaced with [ 0 1 ] to make the equation true. [ y z ] [ 1 0 ]

The matrix [ w x ] can be replaced with [ 1 1 ] to make the equation true. [ y z ] [ 1 1 ]

The matrix [ w x ] can be replaced with [ 0 0 ] to make the equation true. [ y z ] [ 0 0 ]

The matrix [ w x ] can be replaced with [ 1 0 ] to make the equation true. [ y z ] [ 0 1 ]

Three students each write a statement about the function $$V(x) = x(x + 5)(x + 7)$$ , which represents the volume of a rectangular prism with a width of $$x$$ units. Student 1: The function is cubic and has a $$y$$ -intercept at $$(0, 35)$$ . Student 2: The function is cubic and has zeros at $$(-7, 0), (-5, 0)$$ and $$(0, 0)$$ . Student 3: The function is not cubic and has zeros at $$(-7, 0), (-5, 0),$$ and $$(0, 0)$$ . Which statement is true?

Only Student 2 writes a correct statement.

Only Student 1 and Student 2 write correct statements.

Only Student 1 writes a correct statement.

Only Student 2 and Student 3 write correct statements.

The function $$h(t) = t^2 - 12t + 11$$ models the path of a bungee jumper from a platform that is 100 feet above the ground, and $$h(t)$$ is the height of the jumper, in meters, above a camera $$t$$ seconds after jumping from a platform above the camera. The jumper is visible on camera when the height is 0 meters. If $$t \geq 0$$ , which two statements are true?

The bungee jumper reaches a minimum height when t = 6.

The bungee jumper is visible on camera when t = 6.

The bungee jumper reaches a minimum height when t = 25.

The bungee jumper is visible on camera when t = 25.

The bungee jumper is visible on camera when t = 11.

Based on the study, which conclusion is valid?

A. A cause-effect relationship between playing tennis and having a 3.0 GPA or higher cannot be established as it is an observational study.

B. Not playing tennis significantly increases the likelihood of having a 3.0 GPA or higher.

C. The study is biased as the number of people who play tennis is not equal to the number of people who do not play tennis.

D. There is no association between playing tennis and having a 3.0 GPA or higher.

A car rental company charges $$30 per day to rent a car and $$ 45 per day to rent a truck, and a customer can only rent one vehicle per day. One customer rents a car, and then rents a truck. If the company charges the customer a total of exactly $330 for a total rental of exactly 10 days, which statement is true?

The customer rents a car for 4 days and a truck for 6 days.

The customer rents a car for 2 days and a truck for 8 days.

The customer rents a car for 6 days and a truck for 4 days.

The customer rents a car for 8 days and a truck for 2 days.

A student solves the equation $$5\sqrt{x + 6} = 25$$ . The table shows the student’s work. Which statement is true?

The student makes an error between the Given and Step 1.

The student makes an error between Step 1 and Step 2.

The student makes an error between Step 2 and Step 3.

The student makes an error between Step 3 and Step 4.

An inflatable pool in the shape of a cylinder has a radius of $$\frac{h}{2}$$ feet and a height of $$h$$ feet. If the volume of the pool is 98 cubic feet, which statement is true?

A. The equation $$\frac{\pi h^3}{2} = 98$$ can be used to solve for $$h$$ , and the height of the pool is approximately 4 feet.

B. The equation $$\frac{\pi h^3}{2} = 98$$ can be used to solve for $$h$$ , and the height of the pool is approximately 5 feet.

C. The equation $$\frac{\pi h^3}{4} = 98$$ can be used to solve for $$h$$ , and the height of the pool is approximately 4 feet.

D. The equation $$\frac{\pi h^3}{4} = 98$$ can be used to solve for $$h$$ , and the height of the pool is approximately 5 feet.

When x > 10, which statement is true?

The value of f(x) is greater than the values of g(x) and h(x).

The value of g(x) is greater than the values of f(x) and h(x).

The value of h(x) is greater than the values of f(x) and g(x).

The values of the functions cannot be compared.

Benchmark Review Spring 2025

Authored by Donna Currie

Mathematics

11th Grade

CCSS covered

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32 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the data is arranged so that each column represents one week, and each row represents one of the tour buses, which matrix represents the data in the table correctly?

A. [220 150 310 450] [326 189 140 200]

B. [220 189 310 200] [326 150 140 450]

C. [220 310 326 140] [150 450 189 200]

D. [220 310 189 200] [150 450 326 140]

Tags

CCSS.HSA.REI.C.6

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Which function, p(x), represents the total amount of pet food the shelter collects each day x days after the food drive begins, where 3 ≤ x ≤ 10?

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which statement is true?

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.1

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Consider the two cubic functions. Which statement about the functions is true?

Functions 1 and 2 each have exactly 3 distinct, real zeros, and the y-intercept of Function 2 is greater than the y-intercept of Function 1.

Functions 1 and 2 each have exactly 3 distinct, real zeros, and the y-intercept of Function 1 is greater than the y-intercept of Function 2.

Functions 1 and 2 each have exactly 2 distinct, real zeros, and the y-intercept of Function 2 is greater than the y-intercept of Function 1.

Functions 1 and 2 each have exactly 2 distinct, real zeros, and the y-intercept of Function 1 is greater than the y-intercept of Function 2.

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

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Benchmark Review Spring 2025

If the data is arranged so that each column represents one week, and each row represents one of the tour buses, which matrix represents the data in the table correctly?

Which function, p(x), represents the total amount of pet food the shelter collects each day x days after the food drive begins, where 3 ≤ x ≤ 10?

Which statement is true?

Consider the two cubic functions. Which statement about the functions is true?

Which represents the equation when solved for x, when x > 0?

A gas tank in a delivery truck holds a total of 30.8 gallons of gasoline. Approximately how many 5-pint cans of gasoline would it take to fill the tank completely?

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