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Radical and rational expressions Videos 4 videos
ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?
ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.
ACT Math Intermediate Algebra Drill 2, Problem 2. How else can the expression be written?
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?
- Intermediate Algebra / Fractional equations
- Intermediate Algebra / Radical and rational expressions
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Interpret the structure of expressions
- Algebra / Interpret the structure of expressions
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Interpret the structure of expressions
- Algebra / Interpret the structure of expressions
- Elementary Algebra / Solve quadratic equations by factoring
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,
Full 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.
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