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Intermediate Algebra Videos 25 videos

ACT Math 1.3 Intermediate Algebra
506 Views

ACT Math Intermediate Algebra Drill 1, Problem 3. Can you find the value of a in this expression?

ACT Math 1.5 Intermediate Algebra
386 Views

ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?

ACT Math 2.1 Intermediate Algebra
359 Views

ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.

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ACT Math 1.5 Intermediate Algebra 386 Views


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Description:

ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?

Language:
English Language

Transcript

00:02

Here's your shmoop du jour:

00:05

Simplify: quantity x squared minus 49 times

00:09

7... all over x times the quantity 7 minus x.

00:13

And here are the potential answers... Yuck. Ugly mess lots of sevens.

00:17

Okay. It's a factor problem... and we should be able to recognize that,

00:21

because we have a 7 and a 49 in the same line...49 is 7 squared so... we're just being baited.

00:28

First we need to factor the first part. We have quantity x minus 7 times quantity x plus

00:32

7... then all of that times 7... or we can just put the 7 in front, over here.

00:38

We've got a 7 MINUS x on the bottom -- but we need it to be the other way around, so

00:43

we have to multiply top and bottom by negative 1.

00:45

And we get this ugly equation:

00:47

Which simplifies to negative 7 times the quantity x plus 7... then all over x... and we're good.

00:53

Answer: B.

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