# Integrated Algebra Regents Review Questions (with Explanations)

### Description

Sample questions from the Integrated Algebra Regents with explanations.
Quiz by Daniel Burns, updated more than 1 year ago
 Created by Daniel Burns almost 10 years ago
581
4

## 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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