Integrated Algebra Regents Review Questions (with Explanations)

Description

Sample questions from the Integrated Algebra Regents with explanations.
Daniel Burns
Quiz by Daniel Burns, updated more than 1 year ago
Daniel Burns
Created by Daniel Burns almost 10 years ago
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Resource summary

Question 1

Question
The sum of \(8 n^2 - 3n + 10\) and \(3n^2 - 6n - 7\) is
Answer
  • \[ 5 n^2 - 9n + 3\]
  • \[5n^2 - 3n - 17\]
  • \[-11n^2 - 9n - 17\]
  • \[-11n^2 - 3n + 3\]

Question 2

Question
Noj is 5 years older than Jacob. The product of their ages is 84. How old is Noj?
Answer
  • 6
  • 7
  • 12
  • 14

Question 3

Question
What is the slope of a line represented by the equation \(2y  = x - 4\)?
Answer
  • 1
  • \(\frac{1}{2}\)
  • -1
  • \(-\frac{1}{2}\)

Question 4

Question
When \(16x^3 - 12 x^2+ 4x\) is divided by 4x, the quotient is
Answer
  • \[12 s^2 - 8x\]
  • \[12x^2 - 8x + 1\]
  • \[4x^2 - 3x\]
  • \[ 4x^2 - 3x + 1\]

Question 5

Question
Which fraction represents \(\frac{x^2-25}{x^2-2-20}\) expressed in its simplest form?
Answer
  • \(\frac{4}{5}\)
  • \(\frac{x-5}{x-4}\)
  • \(\frac{x+5}{x+4}\)
  • \(\frac{25}{x+20}\)

Question 6

Question
When x = 4, the value of \(2 x^0 + x!\) is
Answer
  • 24
  • 25
  • 26
  • 28

Question 7

Question
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?
Answer
  • 2.0 hours
  • 2.5 hours
  • 2.8 hours
  • 3.7 hours

Question 8

Question
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?
Answer
  • \(x+ 3\)
  • \(x- 3\)
  • \(x^2+ 6x+5\)
  • \(x^2+ 7x+10\)

Question 9

Question
Which interval notation represents \(-3 \leq x \leq 3\)?
Answer
  • \([-3, 3]\)
  • \((-3, 3]\)
  • \([-3, 3)\)
  • \((-3, 3)\)

Question 10

Question
Which equation represents a line parallel to the line whose equation is \(2x + 3y = 9\)?
Answer
  • \(y = \frac{2}{3}x - 4\)
  • \(y = -\frac{2}{3}x + 4\)
  • \(y = \frac{3}{2}x - 4\)
  • \(y = -\frac{3}{2}x - 4\)
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