SAT Math: Using Common Denominators to Find an Equivalent Expression

Which of the following expressions is equivalent to ?

Passport to Advanced MathSolving quadratic equations
Product TypeSAT Math
SATSAT Math
SAT MathAlgebra and Functions
Passport to Advanced Math
Test PrepSAT Math

Transcript

00:19

it The expression could just flip flop our minds completely

00:22

out of our skulls were not careful here So slow

00:24

down few breasts and find our way through it So

00:27

based on the answer choices it looks like this problem

00:29

wants us to turn this mess into one nice fractional

00:32

term Common denominators sound like a good starting point And

00:35

if you look at the answer choices here their way

00:37

simpler So let's think about this All right So we're

00:40

starting with this mess right here and well then we're

00:43

going to smoosh the whole thing together simplify the numerator

00:46

and expand the denominator So that gets us quantity X

00:49

plus seven plus quantity x plus five over quantity Exposed

00:52

five times Explosive in all to the negative one And

00:56

well funny thing we have What now Looks like two

00:59

x plus twelve over X squared Plus twelve ax plus

01:03

thirty five Power Interesting What do you think You get

01:07

the negative one there That does not match It's wrong

01:10

It's not a so what the power of negative one

01:13

wants us to do remember is invert everything We invert

01:17

the fraction so it's actually going to look like this

01:19

X squared plus twelve expose thirty five over two X

01:22

plus twelve which is B which is the right answer