If you can't read please download the document

View

23Category

## Documents

Embed Size (px)

DESCRIPTION

Using Algebra to Solve Problems. Form 1 Mathematics Chapter 2 and Chapter 4. Revision. “ >”: Greater than “ ” and “=” “”: Less than or equal to (or Not greater than) A combination of “

Form 1 MathematicsChapter 2 and Chapter 4

Ronald HUI>: Greater than

and =

: Less than or equal to (or Not greater than)A combination of

Ronald HUIP.166 Question 9: Add 5 to 4 times of a number p and the sum is greater than 33.

Add 5 +54 times of a number p 4pThe sum 4p+5Then, the inequality is 4p+5 > 33

Ronald HUI

Ronald HUIP.166 Question 11: When the sum of a number s and 3 is multiplied by 2, the product is smaller than -10.

The sum of s and 3 s+3Multiplied by 2 2The product (s+3) 2 or 2(s+3)The inequality is 2(s+3) < -10

Write 3 numbers by guessing!

Ronald HUI

Ronald HUIP.166 Question 13a: Mike has 2 packs of $1.9 stamps, 1 pack of $2.4 stamps and y packs of $1.4 stamps. Each pack contains 10 pieces of stamps. Write an inequality

2 packs of $1.9 2 $1.9 10 = $381 pack of $2.4 1 $2.4 10 = $24y packs of $1.4 y $1.4 10 = $14yTotal value $38+$24+$14yThe inequality is $38+$24+$14y

Ronald HUIP.166 Question 13b: Find the value of y if the total value of the stamps that Mike has is $76.

Total value $38+$24+$14yThe equation is $38+$24+$14y = $76or 14y+62 = 76 14y = 14 y = 1Therefore, y = 1.or Mike has one pack of $1.4 stamps.

Ronald HUI

Ronald HUISome special terms:One half = One third = One quarter / One fourth = One fifth =

First, Second, Third, Fourth, Fifth, Sixth, Seventh, Eighth, Ninth, Tenth, Eleventh, Twelfth, Thirteenth, Fourteenth,

Ronald HUI

Page 165 of Textbook 1AQuestions 1 - 8Page 77 of WB 1A HomeworkQuestions 1 - 4

Ronald HUIA formula is an equation withAt least 1 variables on the right of equal sign.Only 1 variable (Subject) on the left of equal sign.

e.g. A = (U + L) H 2A is the subject of the formulaU, L and H are the variables of the formula

Do you know what this formula means?

Ronald HUI

Ronald HUIP.169 Question 18: v = u + gt (u = -8, g = 10, t = 3, v = ?)

v = u + gt = (-8) + (10) (3) Method of substitution = -8 + 30 = 22

Ronald HUI

Ronald HUIP.169 Question 20: In the formula S=88+0.5t , if S=120, find the value of t.

S = 88 + 0.5t (120) = 88 + 0.5t 120 - 88 = 0.5t 32 = 0.5t 32 2 = t 64 = tt = 64

Ronald HUI

Ronald HUIP.169 Question 22a: It is given that V=Ah3. If V = 40 and h = 6, find the value of A.

V = Ah 3 (40) = A (6) 3 40 3 = 6A 120 = 6A 120 6 = A 20 = A A = 20

Ronald HUI

Ronald HUIP.169 Question 22b: It is given that V=Ah3. Find the value of h such that A = 5 and the value of V is half of that given in (a)

In (a), V = 40. So, in (b), V = 20.V = Ah 3 (20) = (5) h 3 20 3 = 5h 60 = 5h 60 5 = h h = 12

Ronald HUI

Page 169 of Textbook 1AQuestions 5 - 14Pages 80-81 of WB 1A HomeworkQuestions 1 - 5

Ronald HUIConsider a sequence: 2, 4, 6, 8, 10,

Can you guess what are the next numbers?What is the 10th term?What is the 100th term?What is the nth term?

1, 2, 3, 4, 5, , 10, , 100, , n ()2, 4, 6, 8, 10, , 20, , 200, , 2n ()

Ronald HUI

Ronald HUIA Sequence is a group of numbers with number pattern.Each number in the sequence is called a Term.The first one in the sequence is called the First Term.

In the sequence, 2, 4, 6, 8, 10, 2 is the first term, 4 is the 2nd term, 6 is The general term () is 2n or an=2n

Ronald HUI

Ronald HUIWhat is the NEXT TWO terms of the following sequences?

4, 8, 12, 16, 20, 12, 24, 36, 48, 60, -1, -2, -3, -4, -5, 5, 6, 7, 8, 9, 6, 8, 10, 12, 14, -20, -10, 0, 10, 20,

Ronald HUI

Ronald HUIWhat is the GENERAL terms of the following sequences?

4, 8, 12, 16, 20, 12, 24, 36, 48, 60, -1, -2, -3, -4, -5, 5, 6, 7, 8, 9, 6, 8, 10, 12, 14, -20, -10, 0, 10, 20,

Ronald HUI

Ronald HUIGiven a general term: an=2n-1What is the first 5 terms?The first 5 terms are:a1 = 2(1)-1 = 1a2 = 2(2)-1 = 3a3 = 2(3)-1 = 5a4 = 2(4)-1 = 7a5 = 2(5)-1 = 9What is the 17th term?The 17th term is a17 = 2(17)-1 = 33

Ronald HUI

Pages 83 - 84 of WB 1AQuestions 1 - 4Page 175 of Textbook 1AQuestions 1 - 12

Folder13 Nov (Tuesday)WB (P.77, 80, 81)13 Nov (Tuesday)SHW (III) (Chapter 4)14 Nov (Wednesday)Open Book Quiz (Chapter 4)14 Nov (Wednesday)Close Book Quiz (Chapter 4)21 Nov (Wednesday)You must hand in on time!

Good Luck!

Enjoy the world of Mathematics!Ronald HUI

Ronald HUI