(8 March 2011) Chapter 4: Vocabulary in Algebra

(I) Algebraic Expressions vs Equations
The following are expressions
  • 3x
  • 5 - 2y
  • p + 2q - 45
  • mn
The following are equations:
  • 2x = 4
  • x + 8 = 20
  • x² = 36
  • 2x + y = 4
Can you tell the difference between an expression and an equation?

(II) Coefficients, Variables and Constants
In the following algebraic expressions:

(a) 6x
  • x is a variable
  • 6 is the coefficient of x
  • There is no constant
(b) 2y + 5
  • y is a variable
  • 2 is the coefficient of y
  • 5 is the constant
(c) 3m + 7n + 9
  • m and n are variables
  • 3 and 7 are coefficients of m and n respectively
  • 9 is the constant
(d) p + 2q - 45
  • p and q are variables
  • 1 and 2 are coefficients of p and q respectively
  • -45 is the constant
(e) 5a - 3b + 1
  • a and b are variables
  • 5 and -3 are coefficients of a and b respectively
  • 1 is the constant
(f) x - y
  • x and y are variables
  • 1 and -1 are coefficients of x and y respectively
  • There is no constant
When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
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Let's learn more terms that are related to Algebra through the Hangman activity (select "Algebra")

10 comments:

  1. Coefficient means the number in an algebraic expression.
    E.g. In 9x, 9 is the coefficient
    In !0x + 3y, 3 and 10 are coefficients.

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  2. Coefficient is the numerical value in an algebraic expression.
    Example : In 10n , 10 is the coefficient

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  3. Coefficients are numbers placed at the front of an unknown to show that the unknown is multiplied by that number.
    examples: In 4y, the coefficient of y is 4.
    In y, the coefficient of y is 1 but we do not put 1y because 1*y=y
    Coefficients can also be negative numbers example: In -2y, -2 is the coefficient of y.

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  4. Coefficient is the amount of times the unknown number is multiplied by in an algebraic expression. For example: 35x = 35 multiplied by x (unknown number)

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  5. Coefficient is the numerical part of the algebraic expression. It is placed to show that the numerical part is multiplied by the unknown(letter).
    For example: 2y : 2 is the coefficient.

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  6. Coefficient(2) is a real number before a variable(e.g. x). For example, in 2x, the 2(numeral;coefficient) would be the coefficient while the 'x' is the variable. BTWFYI I'm Ishani

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  7. Coefficient is the numerical part which is later on multiplied by the variable.
    An example is 3y. 3 is the coefficient in this case.

    ReplyDelete
  8. Coefficient is the numerical value in an algebraic expression.
    For example, 2a=>2 is the coefficient.
    2a+11b=> 2 and 11 are the coefficients.

    ReplyDelete
  9. Thank you to the above responses :)

    I think Wei Siew has given a very clear explanation on what's an coefficient, with several useful examples.

    As some of you pointed out correctly, it refers to the value placed in front of a variable.

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  10. Coefficients are numbers placed at the front of a variable to show that the variable is multiplied by that number.
    Eg: In 8a, 8 is the coefficient of a or in 9z, 9 is the coefficient of z.
    Coefficients can also be negative numbers example: In -6h, -6 is the coefficient of h.

    ReplyDelete