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One-Variable Equations and Inequalities Videos 30 videos
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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.'
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