Chapter 2 Test – Rational Numbers (Version A)
Name _____________________
For the questions 1-3, write an algebraic expression.
1.
Twice the quantity of a number plus nine.
2.
4 less than twice a number
3. 7 more than 4 times a number.
Simplify the following numerical expressions. SHOW ALL WORK!!! – That means all of the steps!
4. 12  (  3)
7.

   2
6 3 

10. 12  3  104  5
2
5.  18  3
6.  2 4
8. (4  7)  (9  2)
9. (  6)2  (  9)
11.
1 9

2 10
3 1
12. 2  3
4 3
Evaluate each expression. SHOW ALL WORK!!! – That means all of the steps!
13.
2d  3
for d  9
5
15. 4  2y for y =9
14.  x  y for x  5.4 and y  2
16.
b
c
for b 
2
4
,c 
5
3
Between which 2 integers are the following square roots?
17)
47 _______ and ________
18)
70 ________ and _________
Simplify. Leave your answer in radical form. (NOT DECIMAL FORM!) SHOW ALL WORK!!!
19)
64
22) 2 4  5 6
20)  2  8
21)
23) 5 15  3
24)
Simplify each expression. SHOW ALL WORK!!! – That means all of the steps!
25. 2 x  2 y  3x  4 y
26.
 22a  3
1
(4 x  8)  3 x
4
28.
8  23x  5
27.
29. 1.7m 2  6.5n  4n  2.5m 2  n
Name the Property of Numbers that each equation illustrates.
30.
31.
32.
33. 2(2 x  5)  4 x  10
Bonus: Explain why  3  3 2
2
x 10
81
200
4