High School Math based on the topics required for the Regents
Exam conducted by NYSED. The following are the worked solutions
for the Integrated Algebra Regents High School Examination January
2013.
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More Lessons for the Regents High School Exam
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January 2013 Integrated Algebra Regents Exam
Integrated Algebra - January 2013 Regents - Q #31 - 38
31. Express in simplest radical form.
32. Factor completely: 5x
3 - 20x
2 - 60x
33. Graphing an absolute value function using graphing calculator.
34. In a game, a player must spin each spinner shown in the diagram
below once. Draw a tree diagram or list a sample space showing all
possible outcomes. Determine the number of outcomes that consist of
a prime number and a letter in the word
"CAT."
35. The cost of three notebooks and four pencils is $8.50. The cost
of five notebooks and eight pencils is $14.50. Determine the cost of
one notebook and the cost of one pencil.
[Only an algebraic solution can receive full credit.]
36. Wendy measures the floor in her rectangular bedroom for new
carpeting. Her measurements are 24 feet by 14 feet. The actual
measurements are 24.2 feet by 14.1 feet. Determine the relative
error in calculating the area of her bedroom. Express your answer as
a decimal to the nearest thousandth.
37. Using the line provided, construct a box-and-whisker plot for
the 12 scores below.
26, 32, 19, 65, 57, 16, 28, 42, 40, 21, 38, 10
Determine the number of scores that lie above the 75th percentile.
38. A metal pipe is used to hold up a 9-foot fence, as shown in the
diagram below. The pipe makes an angle of 48° with the ground.
Determine, to the nearest foot, how far the bottom of the pipe is
from the base of the fence. Determine, to the nearest foot, the
length of the metal pipe.
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