Page 449 - Math Smart - 7

5. a) 5x, 6x b) X + 9, X + 11 Revision (Pg 218)
c) 2x + 8, 2X + 10 d)15x-1,18x-1 1. a) Next two terms are 28 and 35. The term-to-term
e) 25xy, 36xy f)125a6, 216ab rule is "start at -7 and add 7".
6. a) 13, 16, 19 b) Next two terms are 105 and 101. The term-to-term
b) 15, 22, 29. 36, 43 rule is "start at 125 and subtract 4".
c) 30, 57, 84 c) Next two terms are 75 and 86. The term-to-term
7. a) 38.5, 37, 35.5 b) 80, 70, 60 rule is "start at 20 and add 11".
c) 11, 9, 7, 5, 3, 1,-1 d)-8,-14,-20 d) Next two terms are 37 and 44. The term-to-term
8. a) 18, 22, 18. 22 b) 22 rule is "start at 2 and add 7".
e) Next two terms are -11 and -14. The term-to-term
Check My Understanding (Pg 211) rule is "start at 4 and subtract 3".
1. i) The rule is "add 2 to each term to get the next term", f) Next two terms are -3 and 1. The term-to-term rule
T^ = 2n, 150 is "start at -23 and add 4".
11) The rule is "multiply each term by 2 to get the next g) Next two terms are 43 and 34. The term-to-term rule
term", T„ = 2", 2" = 3.777.... x 10^^ is "start at 88 and subtract 9".
ill) The rule is "multiply each term by 3 to get the next h) Next two terms are 1 and The term-to-term rule
term", T^ = 3", 3^^ = 6.08.... X 10^5 is "start at 8 and divide by 2".
iv) The rule is "add 8 to each term to get the next term", i) Next two terms are 121 and 169. The term-to-term
T„ = 8n, 600 rule is "start at 1, add 2 and square the sum".
v) The rule is "multiply each term by 8 to get the next j) Next two terms are 28 and 40. The term-to-term rule
term", T^ = 8", 8^5 = 5.39.... x 10^^ is "start at -2, and add x where x starts at 2 and 2 is
vi) The rule is "multiply each term by 10 to get the next added to x after each term".
term", T^ = 10", 1 X 10^^ 2. 3)0,4,8,12 b)243, 81,27, 9
2. a) 4 b)29 c) 11, 11.5, 12, 12.5 d) 1, 0.5, 0.25, 0.125
3. 3)4,5,6,7,8 b)1,3, 5, 7, 9 3. a)T^ = 3{n + 1), 603 b) T„ = 9n-4, 1796
c)2, 13,24, 35,46 d) 0, 3,6, 9, 12 c)T||=2n + 8,408 d) T^ = n + 24, 224
e)9, 11, 13, 15, 17 f)-6,-2, 2, 6, 10 e) tI = 40000 f) T„ = + ,
4. a) 64, 81
Check My Understanding (Pg 213) b)T„ = (/7 + 2)^
a)T„ = 2n + 8, 208 b) T^ = 5n + 4, 504 c) 1024
c)T" = 4n +12,412 d) T„ = 11n + 2, 1102
e) / = 4n - 1, 399 f) T„ = 4n - 2, 398 5. a) Diagram show 3 pieces of wood added to the side of
the previous one
g) t" = 4n + 1, 401 h) T^ = 5n + 2, 502
b)4, 7, 10, 13, 16
i) en - 4, 596
The term-to-term rule is "start at 4 and add 3".
c) Number of pieces of wood: 4, 7, 10, 13, 16
Check My Understanding (Pg 216)
Multiples of 3: 3, 6, 9, 12, 15
1. 3)14,18,22
Multiples of 3 + 1 : 4, 7, 10, 13, 16
b)6, 10, 14, 18,22
T^ = 3n + 1
The term-to-term rule is "start at 6 and add 4".
d)64, 121, 334
c) Number of people: 6, 10, 14, 18, 22
6. a) Diagrams show 1 light globe added to the top and
Multiples of 4: 4, 8,12, 16, 20
right side.
Difference: 2, 2, 2, 2, 2
T^ = 4n + 2 b) Height of L: 2, 3, 4, 5, 6
Number of globes: 3, 5, 7, 9, 11
d)302
2. a) Diagrams drawn show 3, 4 and 5 section of the fence The term-to-term rule is "start at 3 and add 2".
c) Height of L: 2, 3, 4, 5, 6
interconnected.
Number of globes: 7,9, 11
b) 5, 9, 13, 17,21
Multiples of 2: 2, 4, 6,8,10
The term-to-term rule is "start at 5 and add 4".
Difference : 1, 1, 1, 1, 1
c) Number of pieces of wood: 13, 17, 21
T„=2n+1
Multiples of 4 : 12, 16, 20
Multiplesof4 + 1 : 13, 17, 21 d) 239 globes
T =4n + 1
n
di)201 pieces of wood
Unit 10
dil) 206 sections
3. a) Diagram shows number of tiles at the each sides Recall (Pg 222)
increasing by 1. Parallelogram, Rectangle, Equilateral Triangle, Kite,
b) 5, 9, 13, 17, 21 Right-Angled Triangle, Square, Trapezium, Rhombus,
The term-to-term rule is "start at 5 and add 4". Quadrilateral, isosceles Triangle, Trapezium, Triangle
c) Number of tiles: 13, 17, 21
Multiples of 4: 4, 8, 12, 16,20
Multiples of 4 + 1 : 5, 9, 13, 17, 21
T^ = 4n + 1
d) 209 tiles