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ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
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 1.1 Pre-Algebra 1082 Views
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Description:
Pre-Algebra Drill 1, Problem 1. Calculate 2 3 + 5 3 (7 – 4).
Transcript
- 00:03
Here's your shmoop du jour...
- 00:05
Calculate 2 cubed plus 5 cubed times the quantity 7 minus 4.
- 00:10
And here are the potential answers...
- 00:14
OK, this is a total vanilla PEMDAS question.
- 00:18
PEMDAS: an awesome math mnemonic for remembering the order of operations.
Full Transcript
- 00:22
See, like this thing.
- 00:24
Like... Mary's Violet Eyes Made John Stay Up Nights Pining.
- 00:31
So... this problem tests whether we can actually use the PEMDAS mantra.
- 00:35
First we deal with the parentheses and get 7 minus 4 is 3...
- 00:40
Then we take care of the exponents... 2 to the 3rd is 2 times 2 times 2,
- 00:43
which is 4 times 2, which is 8... which is great.
- 00:48
And 5 cubed is 5 times 5 times 5, which is 25 times 5, which is 125.
- 00:55
So now we have a mere multiplication problem -- 8 plus 125 times 3.
- 01:00
Since 125 times 3 is the "M" part of PEMDAS, we have to do it before doing any addition...
- 01:07
...and we get 125 times 3, which equals 375.
- 01:13
Now add 8 to get 383.
- 01:15
And the answer is... C.
- 01:15
As in "Chocolate tastes like History."
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