Linear Equations in Two Variables

Q1

A test has 25 questions for a total score of 150 points. Among the 25 questions, each multiple choice question carries 3 points and the descriptive type question question carries 8 points. How many multiple choice questions and descriptive type questions are there in the test?

Express the above problem as a pair of linear equations in two variables. State what the assumed variables represent.

Plot the two linear equations in the applet

How many multiple choice questions are there in the quiz?

How many descriptive questions are there in the quiz?

Create Patterns with Lines

Create Patterns with Lines
Equation of one of the lines in above pattern is Can you re-create this pattern in the applet given below?

Complete the rectangle

In the following applet , draw two straight lines such that the points of intersection of the lines form a rectangle with sides of length 6 units and 8 units. A is one of the vertices of this rectangle. Find the points of intersection of the lines and Label the points.

Vertices of Rectangle

What are the three vertices of the rectangle?