MATH_S1
Chapter 2 Using Algebra to Solve Problems Name:_____________( ) Class: F.1 ( )
Important Terms sum 和 term 項 difference 差 constant term
常數項
product
積
like term
同類項
quotient
商
unlike term
異類項
algebraic expression
代數式
sequence
序列
substitution
代入
general term
通項
symbol
符號
function
函數
equation
方程
variable
變數
inequality
不等式
number pattern
數型
Revision Notes
A. Using algebraic language
Symbol
Meaning
Examples ＝ is equal to，equals 7－2＝5 is not equal to 6÷33 is approximately(近似地) equal to 0.3 ＞ is greater than，is larger than 9＞5 ＜ is less than，is smaller than 8＜10
because therefore 3＋x＝5 x＝2
Exercise A
Level 1
1. Write the following using symbols： (a) The product of 2 and b equals 6 _________________________ (b) m is less than 4 _________________________ (c) a is not equal to zero _________________________ (d) 52 is greater than 5×2 _________________________ (e) 1.4×1.4 is approximately equal to 2 _________________________ (f) The sum of a and b equals 10 _________________________ (g) When x is subtracted from y，the difference is greater than 6 _________________________ (h) The quotient when d is divided by 12 is not equal to zero _________________________ (i) The product of p and 2 is less than q _________________________ (j) Twice y equals 14，therefore y equals to 7 _________________________ _________________________
(k) x plus 7 equals twenty，therefore x equals 13 _________________________ _________________________
(l) y minus 26 equals 4，therefore y equals 30 _________________________ _________________________
Level 2
2. Write the following using symbols： (a) The product of a and b is greater then 2 to the power 4 _________________________ (b) The sum of x and 5 equals q times p squared _________________________ (c)
Important Terms sum 和 term 項 difference 差 constant term
常數項
product
積
like term
同類項
quotient
商
unlike term
異類項
algebraic expression
代數式
sequence
序列
substitution
代入
general term
通項
symbol
符號
function
函數
equation
方程
variable
變數
inequality
不等式
number pattern
數型
Revision Notes
A. Using algebraic language
Symbol
Meaning
Examples ＝ is equal to，equals 7－2＝5 is not equal to 6÷33 is approximately(近似地) equal to 0.3 ＞ is greater than，is larger than 9＞5 ＜ is less than，is smaller than 8＜10
because therefore 3＋x＝5 x＝2
Exercise A
Level 1
1. Write the following using symbols： (a) The product of 2 and b equals 6 _________________________ (b) m is less than 4 _________________________ (c) a is not equal to zero _________________________ (d) 52 is greater than 5×2 _________________________ (e) 1.4×1.4 is approximately equal to 2 _________________________ (f) The sum of a and b equals 10 _________________________ (g) When x is subtracted from y，the difference is greater than 6 _________________________ (h) The quotient when d is divided by 12 is not equal to zero _________________________ (i) The product of p and 2 is less than q _________________________ (j) Twice y equals 14，therefore y equals to 7 _________________________ _________________________
(k) x plus 7 equals twenty，therefore x equals 13 _________________________ _________________________
(l) y minus 26 equals 4，therefore y equals 30 _________________________ _________________________
Level 2
2. Write the following using symbols： (a) The product of a and b is greater then 2 to the power 4 _________________________ (b) The sum of x and 5 equals q times p squared _________________________ (c)