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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### 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. More Questions, Worked Solutions and Revision Resources for the Math Regents Examination

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics:

More Lessons for the Regents High School Exam

More Lessons for Geometry

31. Express in simplest radical form.

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. More Questions, Worked Solutions and Revision Resources for the Math Regents Examination

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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