ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Intermediate Algebra Videos 25 videos

ACT Math 3.1 Intermediate Algebra
1956 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 1.1 Intermediate Algebra
320 Views

ACT Math Intermediate Algebra Drill 1, Problem 1. What is the product of (a – 3)2?

ACT Math 1.2 Intermediate Algebra
695 Views

ACT Math Intermediate Algebra Drill 1, Problem 2. Find the product of (2a + 6)2.

See All

ACT Math 1.5 Intermediate Algebra 386 Views


Share It!


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.

Related Videos

Inequalities in Number Lines
3235 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1956 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Simplifying Radicals
9742 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
2253 Views

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...