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Easy Math · Geometry and Trigonometry · Lines, angles, and triangles · MCQ figure

The figure presents a triangle with a horizontal base. The left and right sides of the triangle are both extended past the top vertex of the triangle. The bottom left angle is labeled 70 degrees, and the bottom right angle is labeled 50 degrees. The angle above the left side of the triangle and below the extension of the right side of the triangle is labeled x degrees.

In the figure above, two sides of a triangle are extended. What is the value of x ?

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Hard Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · SPR figure

The median of the scores for group B is how much greater than the median of the scores for group A?

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Easy Math · Algebra · Linear functions · MCQ figure

The population of snow leopards in a certain area can be modeled by the function P defined above, where P of t is the population t years after 1990. Of the following, which is the best interpretation of the equation P of 30 equals 550 ?

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Hard Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure
The figure presents a scatterplot titled “Total Protein and Total Fat for Eight Sandwiches.” The horizontal axis is labeled “Total protein,” in grams, and the numbers zero through 50, in increments of 10, are indicated. The vertical axis is labeled “Total fat,” in grams, and the numbers zero through 80, in increments of 10, are indicated. Eight data points and the line of best fit are shown. The line of best fit touches all 8 data points and extends upward and to the right through the following coordinates. All data are approximate. Protein, 9 grams; Fat, 17 grams. Protein, 20 grams; Fat, 33 grams. Protein, 30 grams; Fat, 48 grams. Protein, 40 grams; Fat, 63 grams. Protein, 48 grams; Fat, 75 grams.

The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?

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Hard Math · Advanced Math · Nonlinear functions · MCQ figure

  • Moving from left to right:
    • The curve is in quadrant 3.
    • The curve trends down sharply.
  • As x increases, the curve approaches the line x equals negative 4.
  • As x decreases, the curve approaches the line y equals 0.
  • The curve passes through the following points:
    • (negative 7 comma negative 2)
    • (negative 6 comma negative 3)
    • (negative 5 comma negative 6)

The rational function f is defined by an equation in the form fx=ax+b, where a and b are constants. The partial graph of y=fx is shown. If  gx=fx+4, which equation could define function g ?

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

The scatterplot shows the relationship between x and y . A line of best fit is also shown.

  • The scatterplot has 6 data points.
  • The data points are in a linear pattern trending up from left to right.
  • A line of best fit is shown:
    • The line of best fit slants up from left to right.
    • 1 point is touching the line of best fit.
    • 2 points are above the line of best fit.
    • 3 points are below the lines of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 0.2)
      • (4 comma 2)

Which of the following is closest to the slope of the line of best fit shown?

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Hard Math · Geometry and Trigonometry · Lines, angles, and triangles · SPR figure

In the figure above, the length of line segment B D equals 6 and the length of line segment A D equals 8. What is the length of line segment D C ?

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

The figure presents a cylindrical shape with a circular base and a larger circular top. The diameter of the circular base is labeled “k over 2,” the diameter of the circular top is labeled “k,” and the height is labeled “k.” The volume of the figure is equal to the fraction with numerator 7 pi k cubed, and denominator 48

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. What is the value of k, in centimeters?

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

  • The boundary of the inequality is a dashed line.
    • The line slants sharply down from left to right.
    • The line passes through the following points:
      • (negative 1 comma 5)
      • (0 comma 1)
      • (1 comma negative 3)
  • The area above and to the right of the boundary is shaded.

The shaded region shown represents the solutions to which inequality?

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Medium Math · Advanced Math · Equivalent expressions · MCQ figure

Which of the following is equivalent to the expression above?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

Which system of equations can be used to correctly determine the values of c and s ?

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Medium Math · Algebra · Linear functions · MCQ figure

The figure presents a 2-column table, with two rows of data, titled “Population of Greenleaf, Idaho.” The heading of the first column is “Year.” The heading of the second column is “Population.” The 2 rows of data are as follows. Row 1. Year, 2000. Population, 862. Row 2. Year, 2010. Population, 846

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear, which of the following functions P models the population of Greenleaf t years after 2000?

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Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

If open parenthesis, x plus 5, close parenthesis, squared, equals 4, which of the following is a possible value of x ?

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Easy Math · Algebra · Linear equations in two variables · MCQ figure

What is the equation of the line shown in the xy-plane above?

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Hard Math · Advanced Math · Nonlinear functions · MCQ figure

What is the minimum value of the function f defined by f of x equals, open parenthesis, x minus 2, close parenthesis, squared, minus 4  ?

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Easy Math · Algebra · Linear equations in one variable · MCQ figure

What is the solution to the equation 2 x plus 3, equals 7?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

In the equation above, a and c are positive constants. How many times does the graph of the equation above intersect the graph of the equation y equals, a plus c in the xy-plane?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ figure

  • For the first line in the system:
    • The line slants gradually down from left to right.
    • The line passes through the following points:
      • (negative 4 comma 5)
      • (0 comma 4)
      • (8 comma 2)
  • For the second line in the system:
    • The line is horizontal.
    • The line passes through the following points:
      • (0 comma 2)
      • (8 comma 2)

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4 y = -16 , how many solutions x,y will the resulting system of three equations have?

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Hard Math · Advanced Math · Nonlinear functions · MCQ figure

Let the function p be defined as p of x equals, the fraction with numerator, open parenthesis, x minus c, close parenthesis, squared, plus, 160, and denominator, 2 c , end fraction, where c is a constant. If p of c equals, 10, what is the value of p of 12 ?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR figure

What value of x satisfies the equation above?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

In the given system of equations, a is a constant. If the system has infinitely many solutions, what is the value of a ?

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Hard Math · Geometry and Trigonometry · Right triangles and trigonometry · SPR figure

A triangle with angle measures 30°, 60°, and 90° has a perimeter of 18 plus 6, times, the square root of 3. What is the length of the longest side of the triangle?

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

A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?

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Easy Math · Advanced Math · Nonlinear functions · MCQ figure

The function f is defined above. What is the value of f of 20 ?

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