Example Math questions

1). Which of the following describes all values of y for which |y + 5| > 7?

(A) –12 < y < 2
(B) –2 < y < 12
(C) y > 2
(D) y < –12
(E) y < –12 or y > 2

diagram

2). If triangle ABC is an equilateral triangle, and the height of the figure is 6, what is the length of side AB?

3). What set of numbers represents the union of sets A and B?

Set A {1, 2, 7, 10, 11, 17}
Set B {1, 3, 7, 13, 17}

(A) {1, 7, 17}
(B) {1, 7, 10}
(C) {1, 3}
(D) {1, 2, 3, 7, 10, 11, 13, 17}
(E) {1, 1, 2, 3, 7 ,7 10, 11, 13, 17, 17}

4). If f(x) = 3x² - 6^x, then f(2) =

(A) -12
(B) -24
(C) 0
(D) 10
(E) 8

5). If a varies directly as b² and a = 36 when b = 3 what is the value of a when b is 7?

(A) 4
(B) 7
(C) 49
(D) 78
(E) 196

6). What is the distance between the points (1, 3) and (2, 11)?

7). For all

8). If,

what is one possible value of x?

(A) 1
(B) 2
(C) 4
(D) 16
(E) 32

9). What is the y-intercept for the equation 2x + 5y = 10?

10). Which of the following is the solution set of the equation x² = 3x + 10?

(A) {-2, -5}
(B) {-2, 5}
(C) {-5, 3}
(D) {-3, 5}
(E) {3, 5}

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