Substitution
Complete the table with the equation 2x + y = 2
x| -4 | 0 | 4 |
y| a | b | c |
a = 10
b = 2
c = -6
Solve this pair of simultaneous equations
a) 7x + 2y = 10
5x + 2y = 6
x = 2
y = -2
Two numbers are such that if 11 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is twice the first number. Find the two numbers.
14 and 17
a) write down the equation of each of the given horizontal lines
b) On the graph, draw each of the lines with the following equations
i) y = -3
a) y = 6 , y = -2
b) on the board
Complete the table of values for 2y = x + 3
x| -5 | -3 | -1 | 1 | 3 |
y| -1 | a | b | 2 | c |
a=0
b=1
c=3
Solve the pair of simultaneous equations
9x +4y = 28
4y - 11x = -12
x = 2
y = 2.5
In four years' time, Imran's mother will be three times as old as Imran. Six years ago, his mother was seven times as old as him. Find
a) Imran's present age
b) The age of Imran's mother when he was born
b) 30 years old
Represent this table on a graph
1cm to represent 1unit for x axis
1cm to represent 1 unit for y axis
x: -5,0,5
y: -0.5, 2,4.5
board
Complete this table with the equation 2x + y =2
x| -4 | 0 | 4 |
y| a | b | c |
a= 10
b=2
c=-6
If x =-11 and y = 5 is the solution of the simultaneous equations
px + 5y = q
qx +7y = p
find the value of p and q
p = 2
q = 3
In a Mathematics test, the average score obtained by Class 2A is 72 and the average score obtained by Class 2B is 75. The average score obtained by the two classes is 73.48. Given that there is total of 75 students in the two classes, find the number of students in each class.
38 students and 37 students
Represent this on a graph
x : -4 , 0 , 4
y : 10, 2, -6
2cm to represent 1 unit x axis
1cm to represent 1 unit y axis
on board
Find p and q
Equation : 6x - y = 8
x| -1 | 0 | 2 |
y|-14| p | q |
p =-8
q=4
Solve for x and y
y = 2x - 7
5x + 3y = 29
y = 23/11
x = 50/11
The figure shows a parallelogram with its sides as indicated. Find the perimeter of the parallelogram.
(i draw on the board)
44cm
The coordinates of the point of intersection of the lines px + y = 3 and x + 2y = q are (2,-3). Find the value of p and of q.
p=3
q=-4
solve for x and y
y = 2x +3
3x + 2y = 18
x = -5/7
y= 11/7
A two number digit is such that the sum of its digits is 1/8 of the number. When the digits of the number are reversed and the number is subtracted from the original number, the result obtained is 45. Find the original number.
72