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Medium Math · Geometry and Trigonometry · Right triangles and trigonometry · MCQ figure

  • One angle is a right angle.
  • The length of the side opposite the right angle is 21.
  • The length of one side adjacent to the right angle is 6.
  • The length of the other side adjacent to the right angle is a.
  • A note indicates the figure is not drawn to scale.

For the triangle shown, which expression represents the value of a ?

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Easy Math · Advanced Math · Equivalent expressions · MCQ figure

The expression 2 x squared, plus a, x is equivalent to x times, open parenthesis, 2 x, plus 7, close parenthesis  for some constant a. What is the value of a ?

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

The densities of different concentrations of grape juice are shown in the scatterplot above. According to the trend shown by the data, which of the following is closest to the predicted density, in kilograms per cubic meter (kg/m3), for grape juice with a concentration of 60%?

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

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

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

What was the mean low temperature, in degrees Fahrenheit, during the five-day period?

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

In triangle ABC, the measure of angle A is 50 degrees. If triangle ABC is isosceles, which of the following is NOT a possible measure of angle B ?

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

In the figure above, R T equals, T U. What is the value of x ?

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

If u minus 3 equals, the fraction 6 over, t minus 2, end fraction , what is t in terms of u ?

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

Which of the following statements correctly compares the means of data set A and data set B?

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

In the equation above, a and b are constants and 0 is less than a, which is less than b. Which of the following could represent the graph of the equation in the xy-plane?

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

  • Clockwise from top left, the 3 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, 2 angles are labeled clockwise from top left as follows:
    • Top right: x°
    • Bottom left: y°
  • At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
    • Top left: z°
  • A note indicates the figure is not drawn to scale.

In the figure, lines m and n are parallel. If x=6k+13 and y=8k-29, what is the value of z ?

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

The Karvonen formula above shows the relationship between Alice’s target heart rate H, in beats per minute (bpm), and the intensity level p of different activities. When p equals 0, Alice has a resting heart rate. When p equals 1, Alice has her maximum heart rate. It is recommended that p be between 0.5 and 0.85 for Alice when she trains. Which of the following inequalities describes Alice’s target training heart rate?

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

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

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

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

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Medium Math · Algebra · Linear equations in one variable · SPR figure

An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 days. The scientist found that the height of the plant increased by an average of 1.20 centimeters per day for the 12 days. If the height of the plant on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?

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

The figure presents a scatterplot titled “Number of Cornflowers and Wallflowers at Garden Store.” The horizontal axis is labeled “Number of cornflowers,” and the numbers 0 through 20, in increments of 2, are indicated. The vertical axis is labeled “Number of wallflowers,” and the numbers 0 through 20, in increments of 2, are indicated. There are 5 data points on the graph. The data represented by the points are as follows. 
Data point 1. Number of cornflowers, 0. Number of wallflowers, 12.
Data point 2. Number of cornflowers, 4. Number of wallflowers, 9.
Data point 3. Number of cornflowers, 8. Number of wallflowers, 6.
Data point 4. Number of cornflowers, 12. Number of wallflowers, 3.
Data point 5. Number of cornflowers, 16. Number of wallflowers, 0.

The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden Store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower?

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

Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)

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Easy Math · Advanced Math · Nonlinear functions · MCQ figure

For the function f defined above, what is the value of f of 2?

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Medium Math · Advanced Math · Nonlinear functions · MCQ figure

An object’s kinetic energy, in joules, is equal to the product of one-half the object’s mass, in kilograms, and the square of the object’s speed, in meters per second. What is the speed, in meters per second, of an object with a mass of 4 kilograms and kinetic energy of 18 joules?

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

A certain forest is 253 acres. To estimate the number of trees in the forest, a ranger randomly selects 5 different 1-acre parcels in the forest and determines the number of trees in each parcel. The numbers of trees in the sample acres are 51, 59, 45, 52, and 73. Based on the mean of the sample, which of the following ranges contains the best estimate for the number of trees in the entire forest?

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

Triangle ABC and triangle DEF are similar triangles, where line segment A B and line segment D E are corresponding sides. If the length of line segment D E equals, 2 times the length of line segment A B and the perimeter of triangle ABC is 20, what is the perimeter of triangle DEF ?

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Hard Math · Geometry and Trigonometry · Circles · MCQ figure

In the xy-plane, the graph of 2 x squared, minus 6 x, plus 2 y squared, plus 2 y, equals 45 is a circle. What is the radius of the circle?

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Easy Math · Advanced Math · Nonlinear functions · MCQ figure

  • 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 8).
    • In quadrant 1, the curve trends up sharply.
  • The curve passes through the following points:
    • (0 comma 8)
    • (1 comma 9)

What is the y-intercept of the graph shown?

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

A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?

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

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

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