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More Lessons for the Regents High School Exam
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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 June
2013.
June 2013 Integrated Algebra Regents Exam
Integrated Algebra - June 2013 Regents - Q #1 - 5
1. Which expression represents "5 less than twice x"?
2. Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in
a jar. After taking 6 quarters out of the jar, what will be the
probability of Gabriella randomly selecting a quarter from the coins
left in the jar?
3. Based on the line of best fit drawn below, which value could be
expected for the data in June 2015?
4. If the point (5,k) lies on the line represented by the equation
2x + y = 9, the value of k is
5. A soda container holds 5 and a half gallons of soda. How many
ounces of soda does this container hold?
Integrated Algebra - June 2013 Regents - Q #6 - 10
6. The roots of a quadratic equation can be found using the graph
below. What are the roots of this equation?
7. If the area of a rectangle is represented by x computations. x
2
+ 8x + 15 and its
length is represented by x 5, which expression represents the
width of the rectangle?
8. Which set of data describes a situation that would be classified
as qualitative?
9. Evaluate an expression with factorials.
10. Find the Interval Notation.
Integrated Algebra - June 2013 Regents - Q #11 - 15
11. The solutions of x
2 = 16x - 28 are
12. If the expression (2y
a)
4 is equivalent to
16y
8, what is the value of a?
13. Which table shows bivariate data?
14. The box-and-whisker plot below represents the results of test
scores in a math class. What do the scores 65, 85, and 100
represent?
15. The expression (x - 3)/(x + 2) is undefined when the value of x
is...
Integrated Algebra - June 2013 Regents - Q #16 - 20
16. If rx - st = r, which expression represents x?
17. What is the solution of the equation (x + 2)/ 2 = 4/x?
18. Which type of function is graphed below?
19. What is the slope of the line represented by the equation 4x +
3y = 12?
20. The diagram below shows the graph of which inequality?
Integrated Algebra - June 2013 Regents - Q #21 - 25
21. Carol plans to sell twice as many magazine subscriptions as
Jennifer. If Carol and Jennifer need to sell at least 90
subscriptions in all, which inequality could be used to determine
how many subscriptions, x, Jennifer needs to sell?
22. When 2x
2 - 3x + 2 is subtracted from 4x
2
- 5x + 2, the result is
23. Which expression represents the number of hours in w weeks and d
days?
24. Given: computations.
R {1, 2, 3, 4}
A {0, 2, 4, 6}
P {1, 3, 5, 7}
What is R intersect P?
25. Which equation could be used to find the measure of angle D in
the right triangle shown in the diagram below?
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