A homeowner collects and analyzes data to estimate the total cost, y, in dollars, for x hours of electrical work completed by a licensed electrician. The linear model $$y=21x+145$$ can be used to represent the data when x ≥ 0. Which two best describe the value 145?

total cost for electrical work when x = 0

change in total cost per hour of electrical work

Consider the equation. $$|7x - 30| = -9$$ What is (are) the solution(s) to the equation?

There are no solutions to the equation.

The table shows descriptions for two bakeries increasing the number of loaves of bread made every day. Which statement is true?

A) The description for Bakery 1 is best modeled by an exponential function, while the description for Bakery 2 is best modeled by a linear function.

B) The description for Bakery 1 is best modeled by a linear function, while the description for Bakery 2 is best modeled by an exponential function.

C) The descriptions for both bakeries are best modeled by linear functions.

D) The descriptions for both bakeries are best modeled by exponential functions.

A coffee shop owner decides to sell branded items as an additional way to make money. There are 𝟕𝟎 stickers and 𝟒𝟓 mugs available for purchase initially, and 𝟏𝟎 stickers and 𝟓 mugs are sold per day. The graph represents the scenario. Which statement is true?

A. The point (5, 20) represents there being 20 stickers and 20 mugs available for purchase after 5 days.

B. The point (5, 20) represents there being a total of 20 stickers and mugs available for purchase after 5 days.

C. The point (20, 5) represents there being 20 stickers and 20 mugs available for purchase after 5 days.

D. The point (20, 5) represents there being a total of 20 stickers and mugs available for purchase after 5 days.

Consider the graph of the linear equation. Which statement is true?

D. The point (8, 1) is a solution to the linear equation.

A. The point (-8, -10) is a solution to the linear equation.

B. The point (-3, 0) is a solution to the linear equation.

C. The point (0, 6) is a solution to the linear equation.

The expression $$64(1-0.1)^t$$ represents the number of hammers in a store t weeks after the hammers are delivered to the store. What does $$(1 - 0.1)$$ represent?

B. the factor by which the number of hammers decreases each week

A. the factor by which the number of hammers decreases 10 times each week

C. the factor by which the number of hammers increases 10 times each week

D. the factor by which the number of hammers increases each week

A performer is selling tickets to a show. The graph shows how many tickets are available, y, after x hours on sale, where 0 ≤ x ≤ 10. Which statement is true?

D. The function is decreasing, and the maximum of the function is located at (0, 450).

A. The function is increasing, and the minimum of the function is located at (0, 450).

B. The function is increasing, and the maximum of the function is located at (0, 450).

C. The function is decreasing, and the minimum of the function is located at (0, 450).

The scatter plot represents the total number of items, y, an artisan sells from a kiosk in a mall during each hour, x, that the mall is open on a particular Saturday. Which statement is true?

D. There is not an association between the number of hours the mall is open on Saturday and the total number of items the artisan sells during each hour, so the variables are not correlated, and correlation does not imply causation.

A. For each hour that the mall is open on Saturday, the total number of items the artisan sells during each hour decreases, so the variables are not correlated, and correlation does not imply causation.

B. For each hour that the mall is open on Saturday, the total number of items the artisan sells during each hour increases, so the variables are correlated, which proves there is causation between the variables.

C. There is an association between the number of hours the mall is open on Saturday and the total number of items the artisan sells during each hour, so the variables are correlated, which proves there is causation between the variables.

The formula for the area of a square is represented by $$A=s^2$$ , where s is the length of a side of the square. If $$A=(4x)^2$$ , which statement is true about the expression $$(4x)^2$$ ?

The value 4x is a factor of the expression representing the side length of the square.

The value 4 is a constant of the expression representing the side length of the square.

The value 4 is a variable of the expression representing the number of sides of the square.

The value 4x is a variable of the expression representing the number of sides of the square.

Consider the tables of values for functions 𝒇(𝒙) and 𝒈(𝒙). If f(x) represents the perimeter of an equilateral triangle, in units, and g(x) represents the approximate area of an equilateral triangle, in square units, where x is the side length of the triangles, in units, which statement is true?

B. While f(x) represents a linear function, g(x) represents a nonlinear function.

A. While f(x) represents a nonlinear function, g(x) represents a linear function.

C. Both f(x) and g(x) represent nonlinear functions.

D. Both f(x) and g(x) represent linear functions.

Consider the two data sets. Which statements are true? Select ALL that apply.

Data Set P has a smaller median than Data Set Q.

Data Set P has a greater median than Data Set Q.

Data Set P has a greater interquartile range than Data Set Q.

Data Set P has a smaller interquartile range than Data Set Q.

Data Set P has an equal median to Data Set Q.

The table shows the average number of frogs, 𝒙, and the average number of insects, 𝒚, together in an area at various times throughout the year. What does the correlation coefficient for the data indicate about the linear association between the average number of frogs and the average number of insects in the area?

There is a strong negative linear association.

There is a strong positive linear association.

There is a weak negative linear association.

There is a weak positive linear association.

Consider the data set, which represents the measure of the highest points of elevation, in feet, in various states. If the highest point of elevation in Alaska is removed from the data set, which statement will be true?

A Both the mean and median will decrease.

B Both the mean and median will increase.

C The mean will decrease, and the median will increase.

D The mean will increase, and the median will decrease.

Consider the two exponential functions. Which statement is true?

C As 𝑥 increases, Function 1 decreases by the same percentage as Function 2.

A As 𝑥 increases, Function 1 decreases by a greater percentage than Function 2.

B As 𝑥 increases, Function 1 decreases by a lesser percentage than Function 2.

D The rates of the two functions cannot be compared.

A student is solving the equation $$𝟑(𝒙−𝟒)=𝟗𝒙+𝟔$$ . Which two describe a first step the student could use to solve the equation correctly?

A The student can distribute 3 on the left side of the equation, resulting in 3𝑥−12=9𝑥+6.

C The student can divide both sides of the equation by 3, resulting in 𝑥−4=3𝑥+2.

B The student can distribute 3 on the left side of the equation, resulting in 3𝑥−1=9𝑥+6.

D The student can divide both sides of the equation by 3, resulting in 𝑥−4=3𝑥+6.

E The student can divide both sides of the equation by 3, resulting in 𝑥−4=9𝑥+2.

The function $$𝒇(𝒙)=𝒙^2−𝟖𝒙+𝟏𝟖$$ models the height above the ground of a bird as it leaves a tree, where 𝒙 represents the bird’s horizontal distance, in feet, from the tree. If 𝒙≥𝟎, which statement is true?

D The bird reaches a minimum height when 𝑥=4.

A The bird reaches a maximum height when 𝑥=2.

C The bird reaches a minimum height when 𝑥=2.

Consider the function 𝒉(𝒙), which represents the total cost of hiring a contractor, in dollars, where 𝒙 is the number of hours the contractor works. Which statement is true?

B The value ℎ(11) is 682, and it represents a total cost of $682 for hiring a contractor for 11 hours of work.

A The value ℎ(11) is 682, and it represents a total cost of $682 for hiring a contractor for $11 an hour.

C The value ℎ(11) is 668, and it represents a total cost of $668 for hiring a contractor for $11 an hour.

D The value ℎ(11) is 668, and it represents a total cost of $668 for hiring a contractor for 11 hours of work.

Quizizz: Alg Benchmark 3 Review

Authored by David Tracey

Mathematics

8th Grade

A1 covered

Used 2+ times

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40 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The table shows the number of bacteria cells in a particular colony over time, 𝒕, in days.
Which function, f(t), best models the number of bacteria cells over time, t, where 0 ≤ t ≤ 3?

f(t) = 3t + 27

f(t) = 27t + 3

Tags

A1.F.BF.A.1a

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The graph represents the amount of snowfall, s, in inches, over time, t, in hours, on a single day. Which units are most appropriate for the rate of change in the graph?

days/inch

inches/day

inches/hour

hours/inch

Tags

A1.N.Q.A.1b

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A baseball player learns to hit baseballs after being thrown such that the baseballs go beyond the boundaries of the baseball field, resulting in a home run. Which is least likely to affect the baseball player’s ability to hit a home run?

the force of the baseball bat hitting the ball

the number of seats in the baseball stadium

the speed of the baseball after being thrown

the speed of the baseball after being hit

Tags

A1.N.Q.A.1c

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is best represented by the graph?

Tags

A1.F.IF.C.7

MULTIPLE SELECT QUESTION

45 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A roofer deconstructs the shingle roof of a house by removing the shingles. The table shows the number of shingles left to be removed 𝒙 hours after beginning deconstruction.
What is the average rate of change in the number of shingles from hour 1 to hour 3?

A. 180 shingles per hour

B. 90 shingles per hour

C. -90 shingles per hour

D. -180 shingles per hour

Tags

A1.F.IF.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider the exponential function graphed on the coordinate plane. Based on the graph, which inequality represents the most appropriate domain of the exponential function?

Tags

A1.F.IF.B.5

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Quizizz: Alg Benchmark 3 Review

The table shows the number of bacteria cells in a particular colony over time, 𝒕, in days.Which function, f(t), best models the number of bacteria cells over time, t, where 0 ≤ t ≤ 3?

The graph represents the amount of snowfall, s, in inches, over time, t, in hours, on a single day. Which units are most appropriate for the rate of change in the graph?

A baseball player learns to hit baseballs after being thrown such that the baseballs go beyond the boundaries of the baseball field, resulting in a home run. Which is least likely to affect the baseball player’s ability to hit a home run?

Which function is best represented by the graph?

A roofer deconstructs the shingle roof of a house by removing the shingles. The table shows the number of shingles left to be removed 𝒙 hours after beginning deconstruction.What is the average rate of change in the number of shingles from hour 1 to hour 3?

Consider the exponential function graphed on the coordinate plane. Based on the graph, which inequality represents the most appropriate domain of the exponential function?

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Discover more resources for Mathematics

The table shows the number of bacteria cells in a particular colony over time, 𝒕, in days.
Which function, f(t), best models the number of bacteria cells over time, t, where 0 ≤ t ≤ 3?

A roofer deconstructs the shingle roof of a house by removing the shingles. The table shows the number of shingles left to be removed 𝒙 hours after beginning deconstruction.
What is the average rate of change in the number of shingles from hour 1 to hour 3?