Integrated Algebra Regents Review Questions (with Explanations)

Question 1 of 10

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The sum of \(8 n^2 - 3n + 10\) and \(3n^2 - 6n - 7\) is

Select one of the following:

  • \[ 5 n^2 - 9n + 3\]

  • \[5n^2 - 3n - 17\]

  • \[-11n^2 - 9n - 17\]

  • \[-11n^2 - 3n + 3\]

Question 2 of 10

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Noj is 5 years older than Jacob. The product of their ages is 84. How old is Noj?

Select one of the following:

  • 6

  • 7

  • 12

  • 14

Question 3 of 10

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What is the slope of a line represented by the equation \(2y  = x - 4\)?

Select one of the following:

  • 1

  • \(\frac{1}{2}\)

  • -1

  • \(-\frac{1}{2}\)

Question 4 of 10

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When \(16x^3 - 12 x^2+ 4x\) is divided by 4x, the quotient is

Select one of the following:

  • \[12 s^2 - 8x\]

  • \[12x^2 - 8x + 1\]

  • \[4x^2 - 3x\]

  • \[ 4x^2 - 3x + 1\]

Question 5 of 10

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Which fraction represents \(\frac{x^2-25}{x^2-2-20}\) expressed in its simplest form?

Select one of the following:

  • \(\frac{4}{5}\)

  • \(\frac{x-5}{x-4}\)

  • \(\frac{x+5}{x+4}\)

  • \(\frac{25}{x+20}\)

Question 6 of 10

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When x = 4, the value of \(2 x^0 + x!\) is

Select one of the following:

  • 24

  • 25

  • 26

  • 28

Question 7 of 10

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Jonathan drove to the airport to pick up his friend. A rainstorm forced him to drive at an average speed of 45 mph, reaching the airport in 3 hours. He drove back home at an average speed of 55 mph. How long, to the nearest tenth of an hour, did the trip home take him?

Select one of the following:

  • 2.0 hours

  • 2.5 hours

  • 2.8 hours

  • 3.7 hours

Question 8 of 10

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If the area of a rectangle is represented by \(x^2+ 8x+15\) and its length is represented by \(x+ 5\), which expression represents the width of the rectangle?

Select one of the following:

  • \(x+ 3\)

  • \(x- 3\)

  • \(x^2+ 6x+5\)

  • \(x^2+ 7x+10\)

Question 9 of 10

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Which interval notation represents \(-3 \leq x \leq 3\)?

Select one of the following:

  • \([-3, 3]\)

  • \((-3, 3]\)

  • \([-3, 3)\)

  • \((-3, 3)\)

Question 10 of 10

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Which equation represents a line parallel to the line whose equation is \(2x + 3y = 9\)?

Select one of the following:

  • \(y = \frac{2}{3}x - 4\)

  • \(y = -\frac{2}{3}x + 4\)

  • \(y = \frac{3}{2}x - 4\)

  • \(y = -\frac{3}{2}x - 4\)

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Integrated Algebra Regents Review Questions (with Explanations)

Daniel Burns
Quiz by , created over 2 years ago

Sample questions from the Integrated Algebra Regents with explanations.

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Daniel Burns
Created by Daniel Burns over 2 years ago
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