- Complete the Matching Column (put the corresponding letter next to the number) (1 pt. each)
1)If 18 = 13 + 5, then 13 + 5 = 18a) Reflexive
2)6 (2 5) = (6 2) 5 b) Additive Identity
3)5(7 + 2) = 5(7) + 5(2)c) Multiplicative identity
4)15 + (10 + 3) = (15 +10) + 3 d) Associative Property of Multiplication
5)50 1 = 50e) Transitive
6)7 ∙ 4 = 4 ∙ 7 f) Associative Property of Addition
7)13 +0 = 13g) Symmetric
8)11 8 = 11 8 h) Commutative Property of Multiplication
9)If 30 + 34 = 64 and 64 = 82, then 30 + 34 = 82I) Multiplicative property of zero
10) 11 0 = 0 j) Distributive
For #’s 1-6, write the sets each number belongs to:
11) .5 12) √9
13) -3 14) π
15) 6 16) ¾
17) 48 + 11 · (-3) - 17 = a) -189 b) -2 c) 64 d) 8
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)221) (5xy5z8)3(7x-9y 5z -15)2
22) (2x5yz6)6 _23) (3x3y5z7)4
(4x10y2z12)3 (6x6y13z-14)2
24) 5(6x – 9) – 7(4x – 8) = 7325)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 = 5031) ½ |16x + 8| - 7 = 13
32) -5|7x -21| - 17 = 40333) 2|6x -18| _ - 72 = -60 5
34) ¾ | 12x – 24 | + 4 22 35) 4| 4x + 4 | + 3 . > -7
-5
36) 5x - 2y = -4037) -6x + 2y = -56
7x + 2y = -8 7x – 3y = 58
38) x = 2y -839) 5x – 6y = 52
5x – 3y = -12 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 = -4552) y - 5 = ¼(x - 4)
y - 2 = -3(x + 1) 45x - 15y = 105
53) 24x – 36y > 72 54) x 4
y – 4 < (-2/5)(x + 10)
55) (4x2 – 3)256) (6x – 5)357) (3x2 – 8x + 7)(2x2 – 4x – 9)
Factor:
58) 96x5 – 72x4 + 24x359) x2 – 6460) x2 – 3x – 88
61) 49x2 – 19662) x2 + 16x + 3963) x2 + x - 110
64) x2 – 18x + 8165) 5x2 – 15x – 14066) 64x2 – 100
67) x2 + 13x - 4068) 6x3y2 – 9x2y3 + 21xy569) 4x4 + 44x3 + 40x2
70) 24x2 - 10x – 671) 7x5 – 21x4 – 28x372) 32x2 – 56x + 12
Answer Key:
1) g2) d3) j4) f5) c6) h7) b8) a9) e10) i
11) rat12) rat, int, whole, nat 13) rat, int.14) irrat. 15) rat, int, whole, nat16) rat
17) b18) 10519) ⅓20) 6,400x22_21) 6,125y25 _ 22) 1 23) 9x56
zx15z6 4y6
24) 3125) 326)-427) -328) x < 229) x -3
30) {-1,9}31) {-3,2}32) No Sol.33) {-2,8}34) x0 or x4
35) x>-3 and x< 136) (-4,-10)37) (13,11)38) (0,4)39) (-4,-12)
40) 21im, 14am41) 86a, 28c42) 3h9m (5:09)43) 90q,272d,177q
44) -85,-84,-83,-82,-8145) 109,111,113,115,11746) 36,38,40
47) a) y=-5 b) y =-2 c)x= 448) 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 -1050) a) x=3 b) x = 11 c) y = 2
51) (-1,2)52) (4,5)53) and 54) GRAPHS55) 16x4 – 24x2 + 9
56) 216x3 – 540x2 + 450x – 12557) 6x4 – 28x3 + 19x + 44x – 63
58) 24x3(4x2 – 3x + 1)59) (x+8)(x-8)60) (x+8)(x-11)
61) 49(x+2)(x-2)62) (x+13)(x+3)63) (x+11)(x-10)
64)(x-9)(x-9)65) 5(x+4)(x-7)66) 4(4x+5)(4x-5)
67) prime68) 3xy2(2x2-3xy+7y3)69) 4x2(x+10)(x+1)
70) 2(4x-3)(3x+1)71) 7x7(x+1)(x-4)72) 4(2x+3)(4x+1)