Maths Form 1 Chapter 5 Algebraic Expressions
Chapter 5 Algebraic Expressions
1.
An unknown is a quantity whose value is not known.2.
An unknown can be represented by a symbol or a letter.3.
An algebraic term with one unknown is the product of an unknown and a number. The number is known as the coefficient.
For example:5 pCoefficient Unknown
4.
Like terms are that have the same unknown.
For example:2k , 3k
5.
Unlike terms are term that have different unknowns.
For example:-3m, 2n, 6 p
6.
An algebraic expression consists of two or more terms that combined by additionor subtraction or both of the operations.
For example:3x + 4y - 6 is an expression with three terms.
7.
The like terms in an algebraic expression can be simplified by adding orsubtracting the coefficients of the unknowns in the algebraic terms.
For example: x + 4y + 2x – 3y = x+2x+4y – 3y =3x+ y
ENRICHMENT PRACTICE1.M students from N society have collected p kg of oldnewspapers and q kg of tins in a recycling campaign.State the letters that represent the unknowns and objects.2. What is the coefficient of -12a?3. Diagram 1 shows a list of algebraic terms.-13h , 6k , -¼ h , 1.2h , k
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5
Diagram 1
State all the like terms of 3h4. Determine the number of terms in the expression 5x + y + 3x – 4y – 25. Simplify x + y + 4y + x + 2x6. The weight of an empty basket is 5y kg. The total weight of the basket filled withdurian is (7y – 3) kg. Find the weight , in kg , of the durian.7. Simplify
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p + 3q + 2p – 2q8. Simplify 6x – y – (-x) + y9. Simplify 5m – n – 4m – 2n + 710. Hassan is (5x + 23) years old. His son is 7x years old. Find the difference betweentheir age in terms of x.
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