b Identify which expressions or variables you are given in the diamond.
C
c Identify which expressions or variables you are given in the diamond.
D
d Identify which expressions or variables you are given in the diamond.
A
a
B
b
C
c
D
d
Practice makes perfect
a In this diamond we have been given the values of x and y.
&x= 8
&y= -8Let's determine xy and x+y by substituting these values into the expressions.
xy:& 8( -8)=-64
x+y:& 8+( -8)=0
Now we can complete our diamond!
b For this diamond we can create the following two equations.
xy=& -25
x+y=& 0This tells us that x and y, when multiplied, must give us a negative number. Therefore, either x or y must be negative and the other one must be positive. We have only one case that results in a product of -25 when multiplied.
-25=-5(5)
As we can see, the values of x and y are 5 and -5. Now we can complete our diamond!
c With the given information we can create the following equations.
x=& 4
xy=& -12
To complete the diamond we should substitute x=4 in the second equation and find y.
d In this diamond we have been given the values of x and y.
&x= 1/2, y= -1/3Let's determine xy and x+y by substituting these values into the expressions.
xy:& 1/2( -1/3)=-1/6 [1em]
x+y:& 1/2+( -1/3)=1/6
Now we can complete our diamond!
