Integrated Algebra Regents June 2010 Questions Solved

Introduction to Integrated algebra regents June 2010 Examination:

The integrated algebra includes the fundamental concepts of algebra like simple expressions , linear equations, rational and radical expresssions. Algebra, Geometry, and Trigonometry are included in the parts of integrated algebra regents examination. The integrated algebra regents exam gives the clear idea of solving different types of questions.

Integrated Algebra Regents 2010 Examination 1:

Integrated algebra regents question 1:

Given:
Q = {0, 1, 2, 4, 6}
W = {0, 1, 2, 3}
Z = {1, 2, 3, 4}
What is the intersection of sets Q, W, and Z?
(1) {1, 2} (3) {1, 2, 3}
(2) {0, 2} (4) {0, 1, 2, 3, 4, 6}

Integrated algebra regents question 2:

Which one of the equation shows a correct trigonometric ratio for angle A in
the right triangle below?

(1) tan A = `8/9` (3) cos A =` 8/10`

(2) sin A = `10/9` (4) tan A = `9/8`

Integrated algebra regents question 3:

Shilpa solved the linear equation 5(x + 4) − 2 = 16 as follows:.

[Line 1] 5(x + 4) - 2 = 16

[Line 2] 5(x + 4) = 18

[Line 3] 5x + 4 = 18

[Line 4] 5x = 14

[Line 5] x = 2`4/5`

She made an error between lines
(1) 1 and 2 (3) 3 and 4
(2) 2 and 3 (4) 4 and 5

Integrated algebra regents question 4:

The value of the expression −|a − b| when a = 12 and b = −3 is
(1) −15 (3) −9
(2) 15 (4) 9

Integrated algebra regents question 5:

Which expression represents `(12x^3 + 6x^2 - 3x)/(3x)` in simplest form?
(1) 4x² − 2x (3) 4x² + 2x -1

(2) 4x² − 4x (4) 10x² − 4x + 1

Integrated Algebra Regents 2010 Examination 2:

Integrated algebra regents question 6:

Which data table represents univariate data?

Integrated algebra regents question 7: .

Which expression is equivalent to 2³•2⁵?

(1) 2¹⁵ (3) 2⁸.

(2) 4⁸ (4) 2²

Integrated algebra regents question 8:

Which point is on the line 2y − x = 0?
(1) (−2,−1) (3) (−1,−2)
(2) (−2,1) (4) (1,2)

Integrated algebra regents question 9:

The expression 4`sqrt50` + 3`sqrt2` written in simplest radical form is

(1) 7`sqrt52` (3) 23`sqrt2`

(2) 7`sqrt48` (4) 12 `sqrt2`

Integrated algebra regents question 10:

Which one of the equation represents a line parallel to the graph of
4x − y = 8?
(1) y = -4x - 8 (3) y = −4x +8
(2) y = 4x + 8 (4) y = 4x - 8

Answer key for integrated algebra regents 2010questions:

Regents examination 1: Answers

Question 1: (1) {1, 2}

Question 2: (1) tan A = `8/9`

Question 3: (2) 2 and 3

Question 4: (1) −15

Question 5: (3) 4x² + 2x -1

Regents examination 2: Answers

Question 6: Option(3)

Question 7: (3) 2⁸.

Question 8: (1) (−2,−1)

Question 9: (3) 23`sqrt2`

Question 10: (4) y = 4x - 8