Home MATHEMATICS TOPIC 7: ALGEBRA ~ MATHEMATICS FORM 1

TOPIC 7: ALGEBRA ~ MATHEMATICS FORM 1

70
1
SHARE
Geometry Points and Lines

ALGEBRA ~ MATHEMATICS FORM 1

ALGEBRA ~ MATHEMATICS FORM 1

An algebraic expression – is a collection of numbers, variables, operators and grouping symbols.Variables – are letters used to represent one or more numbers

Symbols to form Algebraic Expressions
Use symbols to form algebraic expressions
The parts of an expression collected together are called terms

ALGEBRA ~ MATHEMATICS FORM 1

Example

  • x + 2x – are called like terms because they have the same variables
  • 5x +9y – are called unlike terms because they have different variables
An algebraic expression can be evaluated by replacing or substituting the numbers in the variables
Example 1
Evaluate the expressions below, given that x = 2 and y = 3

ALGEBRA ~ MATHEMATICS FORM 1

Example 2

Evaluate the expressions below, given that m = 1 and n = – 2
An expression can also be made from word problems by using letters and numbers
Example 3
A rectangle is 5 cm long and w cm wide. What is its area?

ALGEBRA ~ MATHEMATICS FORM 1

Solution

Let the area be A.
Then
A = length× widith
A = 5w cm2
Simplifying Algebraic Expressions
Simplify algebraic expressions
Algebraic expressions can be simplified by addition, subtraction, multiplication and division
Addition and subtraction of algebraic expression is done by adding or subtracting the coefficients of the like terms or letters
Coefficient of the letter – is the number multiplying the letter
<!–[endif]–>Multiplication and division of algebraic expression is done on the coefficients of both like and unlike terms or letters

ALGEBRA ~ MATHEMATICS FORM 1

Example 4

Simplify the expressions below
Solution
An
inequality – is a mathematical statement containing two expressions
which are not equal. One expression may be less or greater than the
other.The expressions are connected by the inequality symbols<,>,≤
or≥.Where< = less than,> = greater than,≤ = less or equal and ≥ =
greater or equal.
Linear Inequalities with One Unknown
Solve linear inequalities in one unknown
An
inequality can be solved by collecting like terms on one side.Addition
and subtraction of the terms in the inequality does not change the
direction of the inequality.Multiplication and division of the sides of
the inequality by a positive number does not change the direction of the
inequality.But multiplication and division of the sides of the
inequality by a negative number changes the direction of the inequality
Solve the following inequalities
Solution
Linear Inequalities from Practical Situations
Form linear inequalities from practical situations
To represent an inequality on a number line, the following are important to be considered:

The endpoint which is not included is marked with an empty circle

The endpoint which is included is marked with a solid circle

ALGEBRA ~ MATHEMATICS FORM 1

Example 12

Compound statement – is a statement made up of two or more inequalities
Example 13
Solve the following compound inequalities and represent the answer on the number line
Solution

ALGEBRA ~ MATHEMATICS FORM 1

1 COMMENT

  1. My brother recommended I would possibly like this website.
    He used to be entirely right. This post truly made my day.

    You can not consider just how much time I had spent for this info!
    Thanks!

LEAVE A REPLY

Please enter your comment!
Please enter your name here