ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
The Classic: Solve for X 331 Views
Share It!
Description:
ACT Math: Pre-Algebra Drill 7, Problem 3. Solve for x.
- Pre-Algebra / Simple linear equations with one variable
- Product Type / ACT Math
- Foreign Language / Spanish Subtitled
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Algebra / Solve equations and inequalities in one variable
- Algebra / Solve equations and inequalities in one variable
- Algebra / Solve equations and inequalities in one variable
- Algebra / Solve equations and inequalities in one variable
- Pre-Algebra / Linear equations in one variable
Transcript
- 00:03
Do you hear the people shmoop...shmooping the math of angry men...
- 00:08
Solve for x: 2 times the quantity 3x plus 2x minus 5 minus the quantity 6x plus 1 equals 1.
- 00:14
And here are the potential answers...
- 00:21
OK so what is this question asking?
- 00:27
It's just a big fat distribution and simplification problem.
Full Transcript
- 00:30
Let's start by dieting down the parentheses with respect to our friend Mr. PEMDAS.
- 00:37
Multiply across the 2 here and we get 2 times 3x is 6x.
- 00:41
2 times 2x is 4x and 2 times negative 5 is negative 10...
- 00:47
...then just keep going to get rid of the 2nd set of parentheses by allocating the negative
- 00:51
sign to get negative 6x minus 1.
- 00:54
And the rewritten problem looks like this:
- 00:58
Now we just combine terms. The 6x's cancel each other out, so just cross 'em off... and
- 01:02
we have 4x minus 11 equals 1.
- 01:04
Add 11 to both sides and we have 4x equals 12. Divide both sides by 4 and we have x equals...3.
- 01:12
Answer: D.
- 01:13
As in, 'Diet shakes.'
Up Next
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
Related Videos
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...