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(SAT) Advanced Math


table row cell x squared end cell plus cell y squared end cell equals 5 row y equals cell x squared end cell minus 3 row x minus y equals 1 end table

A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?

  • A. One.
  • B. Two.
  • C. Three.
  • D. Four.

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(SAT) Algebra with Calculator (2)

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?

  • A. left parenthesis 99.5 plus 0.08 x right parenthesis plus 5
  • B. 1.08 open parentheses 99.95 x close parentheses plus 5
  • C. 1.08 open parentheses 99.95 x plus 5 close parentheses
  • D. 1.08 open parentheses 99.95 plus 5 close parentheses x

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(SAT) Data Analysis with Caculator

A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?

  • A. 40 randomly selected undergraduate psychology-degree program students.
  • B. 40 randomly selected undergraduate students from all degree programs at the college.
  • C. 300 randomly selected undergraduate psychology-degree program students.
  • D. 300 randomly selected undergraduate students from all degree programs at the college.

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(SAT) Algebra with Calculator

The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?

  • A. 299m + 261j >= 1000
  • B. 299m + 261j > 1000
  • C. 299/m + 361/j >= 1000
  • D. 299/m + 361/j > 1000

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