ACT Math 1.5 Intermediate Algebra

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

ACT MathIntermediate Algebra
ACT MathematicsIntermediate Algebra
AlgebraFactoring
Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Elementary AlgebraSolve quadratic equations by factoring
Foreign LanguageArabic Subtitled
Chinese Subtitled
Korean Subtitled
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Intermediate AlgebraFractional equations
Radical and rational expressions
LanguageEnglish Language
Product TypeACT Math

Transcript

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.