ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math III Videos 103 videos
Approximately 874 people per day wonder what a unit rate is. If you're one of them, check out our video on unit rates and how to use them. (We just...
This video covers how to use cross products to solve for a missing number in a proportion by setting that proportion with a variable over the produ...
GED Math 2.4 Rational Numbers. Lucius's favorite restaurant is how many km from his home?
ACT Math 1.5 Intermediate Algebra 386 Views
Share It!
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.
Related Videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
We don't like knocking people down to size, but we do like simplifying radicals. Join us?
If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...