Chapter 2 Test – Rational Numbers (Version B) Name _____________________

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Chapter 2 Test – Rational Numbers (Version B)
Name _____________________
For the questions 1-3, write an algebraic expression.
1.
Four times the quantity of a number plus six.
2.
15 less than 7 times a number
3. 12 more than twice a number.
Simplify the following numerical expressions. SHOW ALL WORK!!! – That means all of the steps!
4. 8  ( 5)
7.

   6
2 4 

10. 10  4   82  3
2
5.  30  6
6. (3) 3
8. 5  7  8  4
9.  8   4
11.
2
2 4

5 15
1 2
12. 3  2
4 3
Evaluate each expression. SHOW ALL WORK!!! – That means all of the steps!
13.
5 x  11
for x  7
8
15. 3  5 y for y  4
14.  x  y for x  6.3 and y  4.1
16.
b
c
for b 
4
2
,c 
5
7
Between which 2 integers are the following square roots?
17)
72 _______ and ________
18)
31 ________ and _________
Simplify. Leave your answer in radical form. (NOT DECIMAL FORM!) SHOW ALL WORK!!!
19)
20)  20  5
36
21)
23) 4 10  5
22) 3 2  2 12
24)
Simplify each expression. SHOW ALL WORK!!! – That means all of the steps!
25. 3x  4 y  2 x  5 y
27.
1
3x  18  4 x
3
26.
 35a  9
28.
10  34 x  1
29. 2.4n 2  5.5m  3m  3.8n 2  m
Name the Property of Numbers that each equation illustrates.
30. 8  0  8
31. 42 x  11  8x  44
32. 3x  5  5  3x
33. m  n  y   m  n  y
Bonus: Explain why  3  3 2
2
x8
9
300
4
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