## Monday, April 18, 2011

### Chapter 4: 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?

Let's learn more terms that are related to Algebra through the Hangman activity (select "Algebra")

1. Can you tell the difference between an expression and an equation?
An equation has a balance on one side of the equation to show the value of the variable.

When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Yes

2. Can you tell the difference between an expression and an equation?
An equation has a value on one side of it that shows the value of that variable, while a expression doesn't.

When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Yes.

3. Can you tell the difference between an expression and an equation?
An expression is a combinations of symbols formed according to a rule and hold a certain value. While an equation is a mathematical statement which has two expression that are equal or an expression and a number that is equal.

When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Yes.

4. Can you tell the difference between an expression and an equation?
An expression shows a mathematical relationship, and does not require any solution
An equation, however, equates two different expressions.

When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Yes.

5. 1) Equations compare two numbers to show their relationship while expressions are just a value

2) Yes

6. 1)equations show the relationship of two numbers and does not need solutions while for expressions there is a need for the solution to the problem
2)Yes

-Bowen-

7. 1) Expressions do not have an equals sign and shows the relationship between two terms to show their relationship while equations have an equals sign and the objective is to calculate it for an answer.

2) Yes.

8. EXPRESSION:
An expression is a PHRASE,
a sentence fragment.
One simplifies an expression.
An expression HAS NO relation symbol.
Example.
a number less than five
x
five less than a number
x - 5
EQUATION:
An equation is a SENTENCE.
One solves an equation.
An equation HAS a relation symbol.
Example.
Ten is five less than a number.
10 = x - 5
A number is less than five.
x < 5

Source:http://www.mathnstuff.com/math/algebra/aequex.htm

9. The Question: When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?

Ans: YES! :)