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

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

  • The scatterplot has 10 data points.
  • The data points are in a linear pattern trending down from left to right.
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 2 points are touching the line of best fit.
    • 3 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 12.9)
      • (6 comma 8)
      • (12 comma 3.2)

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

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

  • For the curve in the system:
    • 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 3.25).
      • In quadrant 1, the curve trends up sharply.
    • The curve passes through the following points:
      • (1 comma 3.5)
      • (2 comma 4)
      • (4 comma 7)
  • For the line in the system:
    • The line slants gradually up from left to right.
    • The line passes through the following points:
      • (2 comma 4)
      • (7 comma 7.5)

The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution x,y to this system?

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

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which equation can Alan use to determine how many fewer average miles, m, he should drive each week?

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

What is the product of the solutions to the given equation?

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Hard Math · Advanced Math · Equivalent expressions · MCQ figure

In the expression above, b and c are positive integers. If the expression is equivalent to x plus b and x is not equal to b, which of the following could be the value of c ?

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

What is the solution to the equation above?

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

A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35  pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let d represent the number of containers of detergent, and let s represent the number of containers of fabric softener, where d and s are nonnegative integers. Which of the following systems of inequalities best represents this situation?

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Easy Math · Algebra · Linear functions · MCQ figure

The function g is defined by g of x, equals, negative x, plus 8. What is the value of g of 0?

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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 “Minimum Wage.” The x axis is labeled “Years since 1940,” and the integers 0 through 80, in increments of 10, are indicated. The y axis is labeled “Minimum wage, in dollars per hour,” and the integers 0 through 8 are indicated. There are 8 data points in the scatterplot, and the line of best fit is drawn. The line of best fit begins at the point representing 0 years since 1940, minimum wage 0 dollars per hour. It slants upward and to the right, and passes through the point representing 40 years since 1940, minimum wage 3 point 3 5 2 dollars, and the point representing 70 years since 1940, minimum wage 6 point 2 3 2 dollars

The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y equals, 0 point 0 9 6 x, minus 0 point 4 8 8. What does the line of best fit predict about the increase in the minimum wage over the 70-year period?

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

Which of the following ordered pairs x comma y is a solution to the system of inequalities above?

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

A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of container A is 16 centimeters, and the radius of container B is 25% longer than the radius of container A. What is the volume, in cubic centimeters, of container B?

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

A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context?

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

If the ordered pair x comma y satisfies the system of equations above, what is one possible value of x ?

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

The line graph shows the number of graduates from the classes of 2001 through 2007 at a certain school who enrolled in college within 24 months of graduation. Of the following, which class had the fewest graduates who enrolled in college within 24 months of graduation?

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Hard Math · Geometry and Trigonometry · Circles · MCQ figure

The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?

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

In the given equation, b is a constant. If the equation has no solution, what is the value of b ?

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

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

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Medium Math · Advanced Math · Equivalent expressions · MCQ figure

Which of the following expressions is equivalent to the expression above?

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

  • One angle is a right angle.
  • The measure of a second angle is x°.
  • The length of the hypotenuse is 23.
  • The length of the leg opposite the angle with measure x° is 16.
  • A note indicates the figure is not drawn to scale.

In the triangle shown, what is the value of sinx°?

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

An oceanographer uses the equation s equals, three halves p to model the speed s, in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?

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

The equation y equals, 0 point 1 x models the relationship between the number of different pieces of music a certain pianist practices, y, during an x-minute practice session. How many pieces did the pianist practice if the session lasted 30 minutes?

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

A bakery sells trays of cookies. Each tray contains at least 50 cookies but no more than 60. Which of the following could be the total number of cookies on 4 trays of cookies?

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

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa’s run?

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Medium Math · Advanced Math · Equivalent expressions · MCQ figure

If x squared equals, a, plus b and y squared equals, a, plus c, which of the following is equal to open parenthesis, x squared, minus y squared, close parenthesis, squared ?

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

Which of the following is a solution to the equation 2 x squared, minus 4, equals x squared ?

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