# Algebra Regents

Integrated Algebra Part I: Multiple Choice

1. Expressed in simplest form,

[1] 8a2 [2] 3a2 12a 3c is equivalent to: 4ac [3] 3a3 [4] 3a3c

6. The accompanying graph shows the high temperatures in

Elmira, New York for a 5-day period in January.

2. Which trinomial is equivalent to (3x - 2)(x + 4)?

[1] 3x2 + 10x + 8 [2] 3x2 - 10x - 8 [3] 3x2 + 10x - 8 [4] 3x2 - 10x + 8

Which statement describes the data? [1] median = mode [3] mean < mode [2] median = mean [4] mean = mode

3. Which property is illustrated by the equation

(a + b) + c = c + (a + b) ? [1] associative [3] distributive [2] commutative [4] identity

7. What is the slope of the line containing the points (-9,2) and (3,14)? [1] 1 [2] -1 [3] − 8 3 [4] -2

4. Which interval notation is the set of all real numbers

represented by this graph? [1] (-2,5) [2] [-2,5) [3] (-2,5] [4] [-2,5]

8. What is the value of w in the equation

[1] 2.4 [2] -0.2

3 1 w+8 = w−7 ? 4 3 [3] -13.846 [4] -36

9. One of the roots of the equation x2 + 3x - 18 = 0 is 3. What is 5. What is the value of y in the equation 2(3y - 4) = 10 ? [1] 1

1 [2] 2 3

[3] 3

1 [4] 3

the other root? [1] 15 [2] 6

[3] -6

[4] -21

10. Which ordered pair is not in the solution set of y > 2x + 1 ? [1] (1,4)

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[2] (1,6)

[3] (3,8)

[4] (2,5)

11. What is the sum of 5 7 and 3 28 ?

[1] 9 7 [2] 11 7 [3] 60 7 [4] 8 35

15. In the scatter plot shown at the right, which statement best describes the correlation between the days of the week and the number of bicycles sold? [1] high negative correlation [2] low negative correlation [3] high positive correlation [4] low positive correlation

12. Given the equations y = x2 - 4x - 5 and y + x = -1, one

point that satisfies both equations is: [1] (-2,1) [2] (4,-5) [3] (2,-9) [4] (5,0)

13. At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. Of these students, there are 5 students in both the English and Science Clubs; 6 students in both the Science and Math Clubs; and 8 in both the English and Math Clubs. If only 2 students are in all three clubs, how many students are in at least one of the clubs? [1] 52 [2] 35 [3] 30 [4] 20

16. Which graph indicates correctly the graph of the inequality y > -2x + 1 ?

[1] [3]

14. In a cup there are 4 quarters, 5 dimes, 6 nickels and

10 pennies. If one coin is selected at random, what is the probability that the coin has a letter "n" in its name? 6 2 9 16 [1] [2] [3] [4] 25 4 16 25

[2]

[4]

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17. Which type of graph is shown in the diagram?

[1] absolute value [2] exponential [3] linear [4] quadratic

21. Which graph represents a function?

[1] [3]

[2]

[4]

18. The expression

[1] 14 x 7

3x x − is equivalent to 4 3 14 x 5x 5x [2] [3] [4] 12 7 12 x−2 undefined? x + 3x + 2

2

19. For which value of x is

[1] 1 [2] 2

22. The length of a rectangular garden is 3 yards more than its width. If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden? [1] x2 + 3x + 36 = 0 [3] x2 - 3x - 36 = 0 [2] x2 - 3x + 36 = 0 [4] x2 + 3x - 36 = 0

[3] -2

[4] 4

20. The height, h, of a cylinder is 3 units less than 4 times its radius, r. Which expression represents the height of the cylinder in terms of its radius? [1] 4r + 3 [2] 3 - 4r [3] 4r - 3h [4] 4r - 3

23. Which expression represents the product of

6.5 ×104 and 2.4 ×103 ? [1] 15.6 ×108 [2] 8.9 ×107 [3] 1.56 ×1012 [4] 1.56 ×108

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24. An LCD panel is used for a computer monitor. When

rounded to the nearest inch, the length of the monitor is 16 inches and the width is 12 inches. Which of these cannot be the area of the monitor? [1] 174 sq. in [3] 192 sq. in. [2] 186 sq. in. [4] 204 sq. in.

29. Let x and y be numbers such that 0 < x < y < 1, and

let d = x - y. Which graph could represent the...

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