Regents

FREE Ultimate Regents Algebra Question and Answers

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The dimensions of an office chair mat that can fit a desk are as follows. How big a square inch does the gray mat measure?
To the nearest square inch, round the final response.

Use the Pythagorean theorem, a2 + b2 = c2
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What values fall inside the range of (0,6)?

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Explanation:
The bracket before 0 indicates that 0 is in the set. The parenthesis after 6 indicates that only values up to, not including, 6 are included. This could also be written: 0 ≤ x < 6. Since no values below 0 are included, we can eliminate -12, 0, 12,1 as a possible answer because it includes - ½. We can also eliminate 12, 1, π, 6 because it includes 6. Since 2 π is 6.28, 1, π, 3, 2π is also eliminated.

Factor: 2x2 + 5x + 2

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Explanation:
We require two numbers that have a product of 4 and a sum of 5, as a*c=2*2 = 4 and b=5. The correct numbers are 4 and 1. Thus, 2x2 + 5x + 2 equals 2x2 + 4x + x + 2 equals (x + 2). 2x + (x+2)1 = (x+2)(2x+1)

What are, respectively, the first (lower) and third (higher) quartiles?

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Explanation:
The lowest data point, the first quartile, the interquartile range, the third quartile, and the highest data point are the components of a boxplot. Q1 relates to the interquartile range's leftmost edge (the rectangular region). Q1 in this instance is 3. Q3 is equal to 10, or the rightmost edge.

The graph below illustrates the following inequality:

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Explanation:
Given that -1 is less than or equal to 12, a dot should be placed there, and a solid line should extend to 12. Since 12 is not a part of the equation, there should be an empty circle there.

Simplify: (x=y) (3x) + x

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Explanation:
We must distribute the 3x to the (x + y) term in this issue. By doing this, you get 3x2 + 3xY + X. Since the x-terms are different, this cannot be further simplified (one is squared and one has a y attached).

What is the size of the form whose vertices are located at the following coordinates: (1,5), (3,5), (1,3), and (3,3)?

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