Title: Ch P Test
Author: VogelC
Last saved by: Kurutz, Jeremy
Company: Calvert County Public Schools

CW:  Chapter P Exam Review 2		Name______________________________

						Pd. ________  Date__________________

1.	State whether the interval is bounded or unbounded.  Then determine if it is closed, open, or half-open.  x ≥ 8

2.	 Give a number that is a Real number, but NOT a Whole number.

3.	Simplify the expression.  

4.  Simplify 

5.  Rationalize the denominator of the expression.  Then simplify.  

6.  Completely factor the expression.  -6x^5 + 150x^3

7.  Multiply.  (3x – 5y)^2

8.  Factor by grouping.  2x^8 + 3x^7 – 12x – 18

9.  Find the domain of the expression.  

10.  Simplify the complex fraction.  

11.  Write the rational expression in simplest form.  

12.  Perform the operation(s) and simplify.  

13.  Use the quadratic formula to solve the equation.  2x^2 + 1 = 6x

14.  Find all the real solutions of the equation.  Check your solutions in the original equation.

15. Solve.  

16.  Find the solution set.

17.  Graph the solution set for the inequality.  -8 < x ≤ 11

-10       -5        0        5        10

18.  Write in interval notation.  -4 ≤ x < 5

19.  Solve the inequality.  -5 ≤ 2x +7 ≤ 23

20.  Graph the solution set of the inequality. 

-10       -5        0        5        10

21.  Graph the solution to the inequality.

-10       -5        0        5        10

22.  Solve the inequality and graph the solution set.

-10       -5        0        5        10

23.  Find the distance between the points (-2, 3) and (-4, -2).

24.  Find the midpoint of the line segment containing (2, 6) and (3, 4).

25.  Simplify.

26.  Solve:  x^2 - 13x + 40 = 0 

Answers:

1.  unbounded and half-open.
2. 1.5, -3, etc.
3.  
4.  
5.  
6.  
7.  
8.  
9.  All Real numbers x such that x ≠ 3
10.  5, x ≠ 0
11.  
12.  , x ≠ ± 3
13.  
14.  5
15.  11
16. -6, 2

(

]

-10       -5        0        5        10

17.  

18.  [-4, 5)
19.  -6 ≤ x ≤ 8

]

[

20.  

-10       -5        0        5        10

)

(

21.  

-10       -5        0        5        10

 

-10       -5        0        5        10

(

)

22.  

23.  
24.  (2.5, 5)
25.  
26.  5, 8