Equations
5/x-7 = 3/x-2
-11/2
A father is 35 and his son is 5. After how many years is the dad's age three times that of his son??
35 + x = 3*(5+x)
After 10 years
If the nth term is defined as 6n+3 what are the first three terms in the sequence?
9, 15 and 21
If y=3x+15 where does the line cross the y axis?
15
6(x+1/8 - 2x-3/16) = 3(3/4x - 1/4) - 3/8(3x-2)
5/3
The double of a number is subtracted by its half equals 54. What's the number?
2x - x/2 = 54
36
If Alessia says that 1008 is a term in the sequence, is that true or not??
No
If y = 1.5x - 4 what is the gradient of this line?
1.5
2-(-2*(x+1)- x-3/2) = 2x/3 - 5x-3/12 + 3x
3
The base of a rectangle is twice its height. What are its dimensions if the perimeter is 30 cm?
(2*x)+(2*2x) = 30
Height 5, base 10
What is the 50th term in the sequence?
303
Which words do we use to refer to the gradient, which helps us remember how to move?
Rise over run
3x+1/7 - 2-4x/3 = -5x-4/14 + 7x/6
1/4
Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?
Andy is 7 and his dad is 32
1, 5, 9, 13, 17....
What's the nth term??
4n - 3
(3,4) and (2,15) are coordinates on a line. What's the equation of that line?
y = 9x-3
2/3(x-(1-x-2/3)) + 1=x
-1
If the sum of three consecutive numbers is is 72 what is the largest number?
23
Explain why 95 cannot be in that sequence
It is not a whole number
If I have a line that crosses the y axis at -2 and the x axis at 5 what is the equation of that line?
y=2/5x-2