Mathematics LE

Key Unit competence: Model and solve daily life problems using 

                                               linear, quadratic equations or inequalities

2.O. Introductory Activity

1) By the use of library and computer lab, do the research and explain 

the linear equation. 

2) If x is the number of pens for a learner, the teacher decides to give 

him/her two more pens. What is the number of pens will have a learner 

with one pen? 

a) Complete the following table called table of value to indicate the numberof pens for a learner who had x pens for x ≥ 0 .

CONTENT SUMMARY 

An equation is a mathematical statement expressing the equality of two 

quantities or expressions. Equations are used in every field that uses real 

numbers. A linear equation is an equation of a straight line.

Real life problems involving linear equations

Problems which are expressed in words are known as problems or applied 

problems. A word or applied problem involving unknown number or quantity 

can be translated into linear equation consisting of one unknown number 

or quantity. The equation is formed by using conditions of the problem. By 

solving the resulting equation, the unknown quantity can be found.

In solving problem by using linear equation in one unknown the following 

steps can be used:

i) Read the statement of the word problems

ii) Represent the unknown quantity by a variable

iii) Use conditions given in the problem to form an equation in the 

unknown variable

iv) Verify if the value of the unknown variable satisfies the conditions of 

the problem.

Examples 

1) The sum of two numbers is 80. The greater number exceeds the smaller 

number by twice the smaller number. Find the numbers.

2.6 Solving algebraically and graphically simultaneous linear inequalities in two unknown

2.7 Solving quadratic equations by the use of factorization and discriminant

Activity 2.7

Smoke jumpers are fire fighters who parachute into areas near forest 

fires. Jumpers are in free fall from the time they jump from a plane until 

they open their parachutes. The function  gives a jumper’s 

height y in metre after t seconds for a jump from1600m. 

a) How long is free fall if the parachute opens at1000m?

b) Complete a table of values for t = 0, 1, 2, 3, 4, 5 and 6.

CONTENT SUMMARY

CONTENT SUMMARY

 When only two or single variables and equations are involved, a simultaneous equation system can be related to familiar graphical solutions, such as supply and demand analysis.

2.9. END UNIT ASSESSMENT