Integrated Algebra Regents Review Questions (with Explanations)

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

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

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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Integrated Algebra Regents Review Questions (with Explanations)

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Resource summary

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

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	Created by Daniel Burns almost 11 years ago