From the New York State Education Department. The University of the State of New York Regents High School Examination Algebra 1 August 2018. Internet. Available from https://www.nysedregents.org/algebraone/818/algone82018-examp.pdf; accessed 3, May, 2023.
The number of bacteria grown in a lab can be modeled by
During physical education class, Andrew recorded the exercise times in minutes and heart rates in beats per minute (bpm) of four of his classmates. Which table best represents a linear model of exercise time and heart rate?
David correctly factored the expression
The solution to
The graph of
What is the value of
If the function
The expression
Compared to the graph of
Lizzy has 30 coins that total $4.80. All of her coins are dimes,
Gretchen has $50 that she can spend at the fair. Ride tickets cost $1.25 each and game tickets cost $2 each. She wants to go on a minimum of 10 rides and play at least 12 games.
Which system of inequalities represents this situation when
Three functions are shown below:
Which statement is true?
Olivia entered a baking contest. As part of the contest, she needs to demonstrate how to measure a gallon of milk if she only has a teaspoon measure. She converts the measurement using the ratios below:
Which ratio is incorrectly written in Olivia's converstion?
If
An outdoor club conducted a survey of its members. The members were asked to state their preference between skiing and snowboarding. Each member had to pick one. Of the 60 males, 45 stated they preferred to snowboard. Twenty-two of the 60 females preferred to ski. What is the relative frequency that a male prefers to ski?
When the function below is graphed correctly, how should the points be drawn on the graph for an
If
Each day, a local dog shelter spends an average of $2.40 on food per dog. The manager estimates the shelter’s daily expenses, assuming there is at least one dog in the shelter, using the function
Which statements regarding the function
I.
II.
III.
IV.
Which point is not in the solution set of the equation
The functions
Based on the graph, the solutions to the equation
For the sequence
The data obtained from a random sample of track athletes showed that as the foot size of the athlete decreased, the average running speed decreased. Which statement is best supported by the data?
Which system of equations will yield the same solution as the system below?
Which of the three situations given below is best modeled by an exponential function?
I. A bacteria culture doubles in size every day.
II. A plant grows by 1 inch every 4 days.
III. The population of a town declines by 5% every 3 years.
The length, width, and height of a rectangular box are represented by
Explain how to determine the zeros of
State the zeros of the function.
Four relations are shown below.
State which relation(s) are functions.
Explain why the other relation(s) are not functions.
The table below represents the height of a bird above the ground during flight, with
Calculate the average rate of change from 3 to 9 seconds, in feet per second.
Is the solution to the quadratic equation written below rational or irrational? Justify your answer.
The formula for converting degrees Fahrenheit (
Solve for
Solve the following equation by completing the square:
The students in Mrs. Lankford's 4th and 6th period Algebra classes took the same test. The results of the scores are shown in the following table:
Based on these data, which class has the largest spread of test scores? Explain how you arrived at your answer.
Write the first five terms of the recursive sequence defined below.
Sarah wants to buy a snowboard that has a total cost of $580, including tax. She has already saved $135 for it. At the end of each week, she is paid $96 for babysitting and is going to save three-quarters of that for the snowboard.
a. Write an inequality that can be used to determine the minimum number of weeks Sarah needs to babysit to have enough money to purchase the snowboard.
b. Determine and state the minimum number of full weeks Sarah needs to babysit to have enough money to purchase this snowboard.
A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.
a. Create a function that will determine the value,
b. Determine, to the nearest cent, how much the car will depreciate from year 3 to year 4.
Graph the following system of inequalities on the set of axes in the Show Your Work space.
Based upon your graph, explain why (6,1) is a solution to this system and why (-6,7) is not a solution to the system.
Paul plans to have a rectangular garden adjacent to his garage. He will use
On the set of axes in the Show Your Work space, sketch the graph of
Explain the meaning of the vertex in the context of the problem.