Category: Grade 10

This week we learned to use FOIL when mulitplying two binomials.

F- First numbers in each bracket

O- Outside numbers in each bracket

I- Inside numbers in each bracket

L- Last numbers in each bracket

(a+b)(c+d)

F – ac

O- ad

I- bc

L- bd

This week in math we worked on Relations and Functions. A function is where each input value only relates to one output value.

To find out whether or not something is a function, in ordered pairs you look to see if a domain number is repeated. If its repeated, then it’s not a function. In a graph you can use the vertical line test, if a vertical line in drawn on a graph and it hits more than one point then it’s not a function.

(2,3) (4,5) (7,4) (8,4) is a function

(2,3) (4,5) (2,4) (8,7) is not a function

Difference of Squares

(a-b)(a+b) = a^2 + ab – ba – b^2

The two middle terms cancel each other out and leaves (a^2 – b^2)

Difference in this context means that you’re subtracting the two squares

This week we learned that any number to the power of 1/2 is the same as the square root of that number.

X^1/2 = The square root of X

If it is to the power of 1/3 it would then be the cube root of X