Pretest (Unit 1 & Unit 2) Powered by Illuminate Education. Page 4 of 12 9. Callie wrote this number to show the change in volume of a water cooler after practice.

Which number is equivalent to the one Callie wrote?
A.

B.

C.

D.

10. Which expression is equivalent to ?
A.

B.

C.

D.

11. Points p and q are located on a number line. Which expression MUST represent the
distance between them?
A.
B.
C.
D.

−
9
10

−9
10
−9
−10

−
9
−10
9
10

−8 ( + )
1
2
1
4

(−4 + 2)

(−4 − )
1
4
(−4 − 2)

(−4 + )
1
4

p + q
|p + q|
p − q
|p − q|

answer: sine

step-by-step explanation:

answer. d.289 hope that

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)