00:01
For problem 61, we need to translate the sentence into an equation so we can solve for the number.
00:08
The sentence says if three times a number is increased by two.
00:13
So let's start there.
00:15
Three times a number.
00:17
We want to represent that with some sort of expression.
00:21
Since we don't know a number, let's call it x.
00:25
And if it's three times that number, we can think of that as three x.
00:33
Moving on, three times a number is increased by two.
00:39
An increase indicates addition.
00:41
So we should add two to that product.
00:47
Next, this sum is squared.
00:52
So the sum that we just created should be squared or put under an exponent two.
01:01
Finally, we have that the result is 49.
01:06
So whatever was just described, it should be equal to 49.
01:13
So now that we've built an equation, the quantity 3x plus 2, quantity squared equals 49, we can solve for x, which is what we labeled for a number...