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Medium Math · Advanced Math · Nonlinear functions · MCQ figure

There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1920 the population of jackrabbits had reached 10 billion. If the population had grown exponentially, this would correspond to a 16.2% increase, on average, in the population each year. Which of the following functions best models the population p of t of jackrabbits t years after 1788?

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Easy Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The figure presents a scatterplot titled “Distance and Density of Planetoids in the Inner Solar System.” The horizontal axis is labeled “Distance from the Sun,” in astronomical units (A U), and the numbers zero through 3 point 2, in increments of zero point 4, are indicated. The vertical axis is labeled “Density,” in grams per cubic centimeter, and the numbers 3 through 6, in increments of zero point 5, are indicated. The graph has 7 data points. Three of the points are grouped in the upper left corner of the graph, below 1 point 2 A U and above 5 grams per cubic centimeter. The remaining points are above 1 point 4 A U and below 4 grams per cubic centimeter, with 3 of the points grouped in the lower right corner above 2 point 2 A U and below 3 point 7 5 grams per cubic centimeter. The line of best fit is also graphed. The line of best fit passes through the following coordinates on the grid. All data are approximate: zero A U, 5 point 7 5 grams per cubic centimeter. Zero point 8 A U; 5 grams per cubic centimeter. 1 point 6 A U; 4 point 2 5 grams per cubic centimeter. 2 point 4 A U; 3 point 5 grams per cubic centimeter. 2 point 9 A U; 3 grams per cubic centimeter.

The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. An astronomer has discovered a new planetoid about 1.2 AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ figure

In the xy-plane shown, square ABCD has its diagonals on the x- and y-axes. What is the area, in square units, of the square?

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Easy Math · Algebra · Linear functions · MCQ figure

Which of the following is the graph of the equation y, equals 2 x minus 5 in the xy-plane?

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Easy Math · Advanced Math · Equivalent expressions · MCQ figure

Which of the following expressions is equivalent to the sum of open parenthesis, r cubed, plus 5 r squared, plus 7, close parenthesis and open parenthesis, r squared, plus 8 r, plus 12, close parenthesis ?

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Medium Math · Algebra · Linear inequalities in one or two variables · MCQ figure

Which of the following ordered pairs (x, y) satisfies the system of inequalities above?

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