1) 8 points. Real Line:
a) Sort the following numbers in increasing order: 4, -7, 9, -2, 6, 0, -11, 3, 10, -1, -5
b) Graph the following notation: 2≤ x ≤ 5 in a Real Line.
2) 8 points. Absolute Value: d = │a - b│=│b - a │, determine the distance between:
a) │15│ and │-5│
b) │-8│ and │-4│
3) 8 points. Simplify the following operation:
(3-1 + 2-1)
4) 8 points. Expand the following operation by eliminating the parenthesis:
-¾(-8x + 12y)
5) 8 points. Write the interval notation corresponding to the set notation:
{x | x 8}.
6) 8 points. Simplify the following operation:
7) 8 points. Solve the absolute value inequality. Show interval notation for the solution set.
|6x – 4| ≤ 12
8) 8 points. Simplify the expression:
9) 10 points. Perform the indicated operations and simplify to get a polynomial:
(6x – 5)2 – (8x + 1)(3x + 2)
10) 8 points. Solve the following equation for x:
4(x + 12) - 8 = - 6(x + 12) + 62
11) 10 points. Solve the following inequality for x. Express the solution using interval notation.
| 3x – 2 | ≥ 5
0
12) 8 points. Simplify the following equation:
End of quiz: please remember to sign and date the honor statement in the box on the first page of the quiz.