A. Complete the Matching Column (put the corresponding letter next to the number)
(1 pt. each)
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
If 18 = 13 + 5, then 13 + 5 = 18
6  (2  5) = (6  2)  5
5(7 + 2) = 5(7) + 5(2)
15 + (10 + 3) = (15 +10) + 3
50  1 = 50
7∙4=4∙7
13 +0 = 13
11  8 = 11  8
If 30 + 34 = 64 and 64 = 82, then 30 + 34 = 82
11  0 = 0
a) Reflexive
b) Additive Identity
c) Multiplicative identity
d) Associative Property of Multiplication
e) Transitive
f) Associative Property of Addition
g) Symmetric
h) Commutative Property of Multiplication
I) Multiplicative property of zero
j) Distributive
For #’s 1-6, write the sets each number belongs to:
12) √9
14) π
16) ¾
11) .5
13) -3
15) 6
17) 48 + 11 · (-3) - 17 =
a) -189
b) -2
c) 64
18) Evaluate: (-9)2 - 82 ∙ (-1/2) + 64 ÷ (-2)3 =
19) Evaluate when a = -6, b = 2, and c = -9
20b + 12a ÷ (4c) + 4a .
3a2 – (c2 + 5ab) + 3c + a
20) (4x4y2z-5)3(10x5y-3 z7)2
21) (5xy5z8)3(7x-9y 5z -15)2
22) (2x5yz6)6 _
(4x10y2z12)3
23) (3x3y5z7)4
(6x6y13z-14)2
24) 5(6x – 9) – 7(4x – 8) = 73
25)6(2x – 5) + 3(3x + 2) = 39
26) 5(7x – 2) = 6(4x – 9)
27) 2(3x – 5) + 4x = 4(5x – 8) – 6(2x – 6)
28) 8(6x – 2) < 5(7x + 2)
29) 6(5x – 6) – 4(9x – 11) < 26
30) 3|3x – 12| + 5 = 50
31) ½ |16x + 8| - 7 = 13
32) -5|7x -21| - 17 = 403
33) 2|6x -18| _ - 72 = -60
5
34) ¾ | 12x – 24 | + 4 > 22 35) 4| 4x + 4 | + 3 .
-5
> -7
d) 8
36) 5x - 2y = -40
7x + 2y = -8
37) -6x + 2y = -56
7x – 3y = 58
38) x = 2y -8
5x – 3y = -12
39) 5x – 6y = 52
7x + 5y = -88
40) A 35-minute phone call cost $4.90. Introductory minutes cost $.16/min and
additional minutes are $.11/min. How many minutes were billed at each rate?
41) At a movie theater adult tickets cost $9.50 and child tickets cost $5.50. 114 people
attended the last showing of The Pursuit of Happyness and $971 was collected at the
ticket booth. How many of each ticket was sold?
42)Two trains leave the station at the 2:00 PM. One is traveling east at a rate of 76 mph.
The other is traveling west at a rate of 84 mph. At what time will they be 504 miles
apart?
43) A jar of change has $75.95 in it. There are 2 dimes more than 3 times the amount of
nickels and 3 quarters less than double the amount of nickels. How many nickels, dimes,
and quarters are in the jar?
44) Find 5 consecutive integers with a sum of – 415.
45) Find 5 consecutive odd integers such that the sum of the 2nd and 5th is 228.
46) Find 3 consecutive even numbers such that the triple the 1st number is 30 more than
the sum of the 2nd and 3rd number.
Parallel/Perpendicular: a) Use the two points to find the equation of the line.
b) For the line found in part a, find a line that is parallel
and passes through the given point.
c) Find the equation of a line that is perpendicular and
passes through the given point.
47) (2,-5) (-2, -5)
(8,-2)
(4,-3)
48) (-9,-11)(6,9)
(-3,-9)
(-4,10)
49) (8,-3) (-4,9)
(-2, 14)
(6,-4)
50) (3,6)(3,-6)
(11,-3)
(5,2)
51) 15x - 15y = -45
y - 2 = -3(x + 1)
53) 24x – 36y > 72
55) (4x2 – 3)2
52) y - 5 = ¼(x - 4)
45x - 15y = 105
54) x > 4
y – 4 < (-2/5)(x + 10)
56) (6x – 5)3
57) (3x2 – 8x + 7)(2x2 – 4x – 9)
Factor:
58) 96x5 – 72x4 + 24x3
59) x2 – 64
60) x2 – 3x – 88
61) 49x2 – 196
62) x2 + 16x + 39
63) x2 + x - 110
64) x2 – 18x + 81
65) 5x2 – 15x – 140
66) 64x2 – 100
67) x2 + 13x - 40
68) 6x3y2 – 9x2y3 + 21xy5
69) 4x4 + 44x3 + 40x2
70) 24x2 - 10x – 6
71) 7x5 – 21x4 – 28x3
72) 32x2 – 56x + 12
Answer Key:
1) g 2) d 3) j
4) f
5) c
6) h
11) rat 12) rat, int, whole, nat 13) rat, int.
7) b
8) a
9) e
10) i
14) irrat. 15) rat, int, whole, nat
16) rat
19) ⅓ 20) 6,400x22_
21) 6,125y25 _ 22) 1 23) 9x56
z
x15z6
4y6
24) 31 25) 3 26)-4 27) -3 28) x < 2
29) x > -3
17) b 18) 105
30) {-1,9}
31) {-3,2}
32) No Sol.
33) {-2,8}
35) x>-3 and x< 1
36) (-4,-10)
37) (13,11)
40) 21im, 14am
41) 86a, 28c
42) 3h9m (5:09)
44) -85,-84,-83,-82,-81
38) (0,4)
45) 109,111,113,115,117
47) a) y=-5 b) y =-2 c)x= 4
34) x< 0 or x> 4
39) (-4,-12)
43) 90q,272d,177q
46) 36,38,40
48) a) y = (4/3)x+1 b) y = (4/3)x-5 c) y = - ¾ x
49) a) y = -x +5 b) y = -x +12 c) y = x -10 50) a) x=3 b) x = 11 c) y = 2
51) (-1,2)
52) (4,5)
53) and 54) GRAPHS
56) 216x3 – 540x2 + 450x – 125
58) 24x3(4x2 – 3x + 1)
61) 49(x+2)(x-2)
64)(x-9)(x-9)
67) prime
70) 2(4x-3)(3x+1)
55) 16x4 – 24x2 + 9
57) 6x4 – 28x3 + 19x + 44x – 63
59) (x+8)(x-8)
62) (x+13)(x+3)
65) 5(x+4)(x-7)
68) 3xy2(2x2-3xy+7y3)
71) 7x7(x+1)(x-4)
60) (x+8)(x-11)
63) (x+11)(x-10)
66) 4(4x+5)(4x-5)
69) 4x2(x+10)(x+1)
72) 4(2x+3)(4x+1)