Name
Q1 Test 1 Review
DUE: Thursday, 10/13/05
TEST: Friday, 10/14/05
ANSWERS IN BOLD TYPE
Section 1: Sets of Numbers
1) Which number is a rational number but not an integer?
a) – 6
b) 0
c) ⅝
d) none
2) Which number is an integer but not a natural number?
a) π
b) -¾
c) 0
d) none
3) Which number is an integer, but not rational?
a) π
b) 4
c) -.25
d) none
4) Which number is whole, but not natural?
a) 0
b) 4
c) .75
d) none
5) Which number is natural, but not whole?
a) ¼
b) 4
c) 0
d) none
6) Give an example of a number that is rational, but not an integer.
C
C
D
A
D
½
7) Give an example of a number that is an integer, but not a whole number. -3
8) Give an example of a number that is a whole number, but not a natural number.
0
9) Give an example of a number that is a whole number, but not an integer. NONE
10) Give an example of a number that is rational, but not a whole number. ¾
#’S 6,7, and 10 have more than 1 correct response.
Section 2: Properties
A. Complete the Matching Column (put the corresponding letter next to the number)
A
1)
6-9=6-9
a) Reflexive
J
2)
4(5 + 2) = 4(5) + 4(2)
b) Additive Identity
H
3)
17 · 8 = 8 · 17
c) Multiplicative identity
D
4)
6 · (2 · 12) = (6 · 2) · 12
d) Associative Property of Mult.
B
5)
32 + 0 = 32
e) Transitive
F
6)
11 + (3 + 18) = (11 +3) + 18
f) Associative Property of Add.
E
7)
If 40 + 4 = 44 and 44 = 4 · 11, then 40 + 4 = 4 · 11
g) Symmetric
I
8)
22 · 0 = 0
h) Commutative Property of Mult.
G
9)
If 30 = 5 · 6, then 5 · 6 = 30
i) Multiplicative property of zero
Name
Q1 Test 1 Review
C
10)
DUE: Thursday, 10/13/05
TEST: Friday, 10/14/05
26 · 1 = 26
j) Distributive
Section 3: Operations with Signed Numbers
Numbers 7-12 will be given in class (mixed numbers are very difficult to type!)
1) 76 + (-28)= 48
4) -51 – 64 = -115
2) -85 + (-23) = -108
5) 67 – (-74) = 141
3) –48 + 37 = -11
6) -101 – (-44) = -57
7)
8)
9)
10)
11)
12)
Section 4: Order of Operations:
1) 256 – 46 · 3 – 11= 107
5) Substitute and Evaluate:
3y3 - 2y2 ÷ 10 + 379 = -1
y = -5
2) 24 ÷ (6 – 3 · 4) · 13 = -52
2
3) 100 - 12 · ¼ + (6)(-2) = 52
6) Substitute and Evaluate: b = 7 and c = -2
bc2 ÷ (42 – 4b) – 11c = 21
7) Evaluate when a = -8, b = -3, and c = 9
4b3 + ac – ab - 1
-205 = -41
2
c – 16b ÷ a + 8a + 2b
5
Section 5: Simplifying and Solving Equations
1) (6x - 5) + (7x + 7)
2) (6x2 – 5x + 7) + (9x2 – 4x + 8)
3) 4(3x – 5) + 6(4x + 3)
2
13x – 2
15x – 9x + 15
36x -2
4) 5(6x – 9) – 7(4x – 8)
5)8(3x2 – 4x + 9) + 6(4x2 + 5x – 12)
2x + 11
48x2 – 2x
2
2
6) 9(4x + 3x – 8) – 7(6x – 4x + 10)
7) 6(2x – 5) + 3(3x + 2) = 102
2
-6x + 55x -142
x=6
8) 5(5x – 6) = 6(3x + 2)
9) 63 – ¾ x = 27
x=6
x = 48
10) 10(3x + 1) – 6(7x + 2) = 4
11) 8(7x – 12) = 6(5x – 3)
x= - ½
x=3