Linear Equations and Their Solutions

Teacher Daisy introduces Form 1 Mathematics Chapter 6, focusing on linear equations. The video covers linear equations in one and two variables, including simultaneous equations. It explains how to identify, form, and solve these equations using various methods such as trial and improvement, equality concept, and backtracking. The video also demonstrates graphical representation and provides examples for better understanding. The chapter concludes with a concept map summarizing the key points.

What is a characteristic of a linear equation in one variable?

• It has two variables.

• The power of the variable is two.

• It forms a straight line.

• It has no variables.

Which of the following is NOT a method to solve linear equations in one variable?

• Trial and improvement

• Graphical method

• Backtracking

• Application of equality

In the trial and improvement method, what should you do if the calculated value is less than the required value?

• Use a smaller value

• Use a larger value

• Stop the process

• Use the same value

What is the general form of a linear equation in two variables?

• ax^2 + by = c

• ax^2 + by^2 = c

• ax + by = c

• ax + by^2 = c

Which of the following is a linear equation in two variables?

• 7x^2 + 5y = 9

• y/6 + 4 = -2x

• 3p - q = 6

• 2k + 8 = 5k

What is the graphical representation of a linear equation in two variables?

• A straight line

• A circle

• A curve

• A parabola

How many solutions does a linear equation in two variables have?

• One

• Two

• Infinite

• None

What is a unique solution in simultaneous linear equations?

• When the lines are parallel

• When the lines overlap

• When there are no lines

• When the lines intersect at one point

Which method is NOT used to solve simultaneous linear equations?

• Trial and improvement

• Elimination method

• Substitution method

• Graphical method

What does it mean when simultaneous linear equations have infinite solutions?

• The lines are parallel

• The lines intersect at one point

• The lines overlap completely

• There are no lines