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

  • Clockwise from top left, the 3 lines are labeled m, r, and s.
  • Line m intersects both line r and line s.
  • At the intersection of line m and line r, 1 angle is labeled clockwise from top left as follows:
    • Top right: x°
  • At the intersection of line m and line s, 1 angle is labeled clockwise from top left as follows:
    • Bottom right: y°
  • A note indicates the figure is not drawn to scale.

In the figure shown, lines r and s are parallel, and line m intersects both lines. If y<65, which of the following must be true?

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Hard Math · Geometry and Trigonometry · Circles · SPR figure

The equation open parenthesis, x plus 6, close parenthesis, squared, plus, open parenthesis, y plus 3, close parenthesis, squared, equals 121 defines a circle in the xy‑plane. What is the radius of the circle?

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Easy Math · Algebra · Linear functions · MCQ figure

The graph shown models the number of candy bars a certain machine wraps with a label in x seconds.

  • The line slants sharply up from left to right.
  • The line passes through the following points:
    • (0 comma 0)
    • (2 comma 80)
    • (4 comma 160)
    • (6 comma 240)

According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?

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Hard Math · Advanced Math · Nonlinear functions · MCQ figure

If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?

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

If the system of equations above has solution the ordered pair x comma y , what is the value of x plus y ?

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Easy Math · Advanced Math · Equivalent expressions · MCQ figure

Which expression is equivalent to parenthesis, 2 x squared minus 4, close parenthesis, minus, parenthesis, negative 3 x squared, plus 2 x, minus 7, close parenthesis ?

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Easy Math · Advanced Math · Nonlinear functions · MCQ figure

  • For the first curve: 
    • Moving from left to right:
      • The curve passes from quadrant 2 to quadrant 1.
      • In quadrant 2, the curve trends up gradually to point (0 comma 3).
      • In quadrant 1, the curve trends up sharply.
    • As x increases, the curve approaches the line x equals 4.
    • As x decreases, the curve approaches the line y equals 1.
    • The curve passes through the following points:
      • (negative 3 comma 2)
      • (0 comma 3)
  • For the second curve: 
    • Moving from left to right:
      • The curve is in quadrant 4.
      • In quadrant 4, the curve trends up sharply.
    • As x increases, the curve approaches the line y equals 1.
    • As x decreases, the curve approaches the line x equals 4.
    • The curve passes through the following point:
      • (6 comma negative 4)

The graph of y=fx is shown in the xy-plane. What is the value of f0?

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Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · 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. Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? 1 gallon equals 128 fluid ounces

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Easy Reading and Writing · Information and Ideas · Command of Evidence · MCQ figure

Which choice most effectively uses data from the graph to complete the example?

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Medium Math · Advanced Math · Nonlinear functions · MCQ figure

  • Moving from left to right:
    • The curve is in quadrant 1.
    • From point (0 comma 9), the curve trends down sharply.
    • From point (5 comma 1), the curve trends down gradually.

The graph gives the estimated number of catalogs y , in thousands, a company sent to its customers at the end of each year, where x represents the number of years since the end of 1992 , where 0x10. Which statement is the best interpretation of the y-intercept in this context?

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Hard Math · Algebra · Linear functions · MCQ figure

The constant 2.74 in this function estimates which of the following?

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Medium Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · MCQ figure

A bag containing 10,000 beads of assorted colors is purchased from a craft store. To estimate the percent of red beads in the bag, a sample of beads is selected at random. The percent of red beads in the bag was estimated to be 15%, with an associated margin of error of 2%. If r is the actual number of red beads in the bag, which of the following is most plausible?

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

In the xy-plane, the graph of y equals, x plus 3 intersects the graph of y equals, 2 x minus 6 at the point with coordinates a, comma b. What is the value of a ?

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Hard Reading and Writing · Information and Ideas · Command of Evidence · MCQ figure

Which choice most effectively uses data from the graph that support the student’s assertion?

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

  • Clockwise from top left, the lines are labeled t, m, and n.
  • Line t intersects both line m and line n.
  • At the intersection of line t and line m, 1 angle is labeled clockwise from top left as follows:
    • Bottom left: x°
  • At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
    • Bottom right: 33°
  • A note indicates the figure is not drawn to scale.

In the figure, line m is parallel to line n , and line t intersects both lines. What is the value of x

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Medium Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

Which of the following represents the result of increasing the quantity x by 9%, where x is greater than 0 ?

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Hard Math · Advanced Math · Equivalent expressions · MCQ figure

The expression the fraction with numerator x to the power negative 2, end power, times y to the power one-half, and denominator x to the power one-third, end power, times y to the power negative 1, end fraction, where x is greater than 1 and y is greater than 1 , is equivalent to which of the following?

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Medium Math · Advanced Math · Nonlinear functions · MCQ figure

In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c ?

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

Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, G, on Tom’s fourth exam that will result in a mean score on all four exams of at least 90 ?

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

In the system of equations below, a and c are constants.

Equation 1: one half x, plus one third y, equals one sixth. Equation 2: a, x, plus y equals c

If the system of equations has an infinite number of solutions x comma y , what is the value of a ?

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

  • The line slants gradually down from left to right.
  • The line passes through the following points:
    • (negative 8 comma 4)
    • (0 comma 2)
    • (8 comma 0)

The graph of y=fx+14 is shown. Which equation defines function f ?

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Hard Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The table shows the distribution, by location and power capacity (maximum rate of power generation) of the twenty largest wind projects in the United States in 2013. The total power capacity of the nine wind projects located in Texas was 4,952 megawatts (MW), and the total power capacity of the twenty wind projects was 11,037 MW in 2013. The amount of energy produced in one hour at a rate of one megawatt is one megawatt-hour. If each of the nine Texas wind projects in 2013 had operated continuously for 24 hours at the maximum rate of power generation, approximately how many megawatt-hours of energy would the nine projects have produced?

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Medium Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

The number k is 36% greater than 50. If k is the product of 50 and r, what is the value of ?

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Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The weight of an object on Venus is approximately the fraction 9 over 10 of its weight on Earth. The weight of an object on Jupiter is approximately the fraction 23 over 10 of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?

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

For which of the following data sets is the mean greater than the median?

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