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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? 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.

More Lessons for the Regents High School Exam

More Lessons for Geometry

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.

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

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.

11. The solutions of x

12. If the expression (2y

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

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

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