The number of bottles a machine fills is proportional to the number of minutes the machine operates. The machine fills 250 bottles every 20 minutes. Create a graph that shows the number of bottles,
Utilize the drawing tools in the Show Your Work space to plot two points and draw a line.
[Calculator permitted]
Two different proportional relationships are represented by the equation and the table.
Use the drop-down menus to complete the sentence comparing the rates of change of the proportional relationships.
The rate of change in Proportion A is than the rate of change in Proportion B.
[Calculator permitted]
Eric planted a seedling in his garden and recorded its height each week. The equation shown can be used to estimate the height,
[Calculator permitted]
Part A
What does the slope of the graph of the equation
a. the height, in inches, of the seedling after
b. the height, in inches, of the seedling with Eric first planted it
c. the increase in the height, in inches, of the seedling each week
d. the total increase in the height, in inches, of the seedling after
Part B
The equation
A partially filled input-output table is shown. Complete the table so that it represents a function.
Input Output
1 4
6
5
Select each number from the list within each dropdown.
Solve this equation for
Increasing | Decreasing | Neither Increasing nor Decreasing | |
|---|---|---|---|
Select the point on the number line that best approximates the location of
[vertical positioning of the points are irrelevant]
Functions A, B, and C are linear functions.
Some values of Function A are shown in the table.
The graph of Function
Function
Order the linear functions based on rate of change, from least to greatest:
[Calculator permitted]
Least Rate of Change
Neither Least or Greatest Rate of Change
Greatest Rate of Change
Which equation has both
A system of equations is shown.
What is the solution
Enter your answers in the boxes.
(
Classify each equation as defining
Drag or click the equation into the appropriate category.
linear
nonlinear
Consider the system of equations.
Select from the drop-down menus to correctly complete each statement.
The graph of the system consists of lines that have of intersection. Therefore, the system has solution.
Which of these equations represent functions where
Solve this equation for
Three congruent figures are shown on the coordinate plane.
Part A
Select a transformation from each drop-down menu to make the statement true.
Figure 1 can be transformed onto figure 2 by , followed by .
Part B
Figure 3 can also be created by transforming figure 1 with a sequence of two transformations.
Select a transformation from each drop-down menu to make the statement true.
Figure 1 can be transformed onto figure 3 by , followed by .
The graph represents
Use the drawing tools in the Show Your Work space to plot the point on the coordinate plane.
The graph shows
For which intervals is the function decreasing?
Select all that apply.
The equation of line
The equation of line
The equations of lines
a. Graph lines
b. In the Show Your Work space, plot Point
Which statement best describes the value of
Which equation has both
A system of equations is shown.
In the system of equations, what is the value of
Which equations define
Select all that apply.
Consider the system of equations.
Which statements are true about the system of equations?
Select each correct answer.
Which decimal is the equivalent of
Seven line segments are shown on the coordinate plane.
Which of these segments could be the image of segment
Select each correct answer.
Use the information provided to answer Part A and Part B for this question.
Three congruent figures are shown in the coordinate plane.
Part A
Which statement describes a possible sequence of transformations that transforms figure 1 into figure 2?
Part B
Figure 3 can also be created by transforming figure 1 with a sequence of two transformations.
Which statement describes a possible sequence of transformations that transforms figure 1 into figure 3?
The graph represents
Which additional point can be plotted so that the graph continues to represent
Which expressions are equivalent to
Select all that apply.
The equation of line
The equation of line
The equations of lines
Which graph correctly shows line
A scatter plot is shown on the coordinate plane.
Which of these most closely approximates a line of best fit for the data in the scatter plot?
The body of a 154-pound person contains approximately
A solution is 20% bleach.
Which graph represents the number of liters of bleach,
[Calculator permitted]
Use the information provided to answer Part A and Part B for this question.
[Calculator permitted]
Filipo is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.
Part A
Which equation could be used to determine
a.
b.
c.
d.
Part B
What is the width, in feet, of the sandbox?
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car
Based on the information in the table and the graph, compare the approximate miles per gallon of car
[Calculator permitted]
Use the information provided to answer Part A and Part B for this question.
[Calculator permitted]
The figure shows line
Part A
Explain why triangle
Part B
Given that
Use the information provided to answer Part A through Part D for this question.
[Calculator permitted]
Line
Part A
What is the slope of line
Part B
What is the
Part C
Line s (not shown) has the same slope and passes through the point (0,4). Which table represents 4 points on line
Part D
Which equation could represent line
Use the information provided to answer Part A through Part C for this question.
[Calculator permitted]
Martin is considering the expressions
Part A
Which statement about the relationship between the expressions is true? Enter the corresponding letter of the correct statement.
a. The value of the expression
b. The value of the expression
c. The value of the expression
d. The value of the expression
Part B
Show or explain how you found your answer to Part A.
Enter your work or your explanation in the Show Your Work Space.
Part C
Write a new expression that always has a greater value than both of these expressions.
Use the information provided to answer Part A and Part B for this question.
[Calculator permitted]
The figure shows a right-circular cylinder and a right-circular cone. The cylinder and the cone have the same base and the same height.
Part A
What is the volume, in cubic feet, of the cone?
Part B
What is the ratio of the cone's volume to the cylinder's volume?
In
What is the length, in centimeters, of
[Calculator permitted]
Relationship A is defined by the equation
Some values of relationship
Both relationships represent a direct proportion between
Two utility companies sell electricity in units of kilowatt-hours. The cost of electricity for company
Use the information provided to find the unit rate, in dollars per kilowatt-hour, for each company.
Find the total cost, in dollars, of buying 2,375 kilowatt-hours of electricity from the least expensive company.
[Calculator permitted]
Use the information provided to answer Part A and Part B for this question.
[Calculator permitted]
In a system of two linear equations, the lines represented by each equation have the same slope.
Part A
Which could be the total number of solutions to the system of equations?
Select each correct answer from the list below.
Part B
Explain why you chose your answer(s) in Part A in the Show Your Work space.
Line
Which statements are true? Select all that apply.
[Calculator permitted]
Use the information provided to answer Part A and Part B for this question.
[Calculator permitted]
The owner of a computer store is offering a discount on a computer sold in the store.
Part A
The owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment:
Show your work or explain your answer in the Show Your Work space.
Part B
A different computer is advertised as 40% off of the original price. After the discount, the tax is $44.64.
Determine the total price of this computer after the discount and tax are applied:
Show your work or explain your answer in the Show Your Work space.
Determine the original price of this computer:
Show your work or explain your answer in the Show Your Work space.
Function A is a linear function. Some values of Function A are shown in the table.
Function B is a linear function with a
Which statement is true?
[Calculator permitted]
The graph shows
For each interval in the table, indicate whether the function is increasing, decreasing, or neither increasing nor decreasing over the interval.