ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
One-Variable Equations and Inequalities Videos 30 videos
SAT Math: Numbers and Operations Drill 1, Problem 2. If the masterpiece will be worth $45,055 in five years, what is its worth now?
You don't want to leave a bunch of unsolved rational equations sitting around.
SAT Math 5.7 Numbers and Operations 194 Views
Share It!
Description:
SAT Math 5.7 Numbers and Operations
Transcript
- 00:03
Here’s your shmoop du jour, brought to you by ACDC.
- 00:06
Not a line segment, but some of their songs had good lines…
- 00:14
Points A, B, C, D, and E lie on a straight line. C is the midpoint of AE,
- 00:20
D is the midpoint of CE, and B is the midpoint of AD.
- 00:25
If AB is equal to 6, what is the length of AE?
Full Transcript
- 00:31
Sometimes…it helps if we sketch out the problem…like we’ve done here.
- 00:35
We’re also going to label each segment with what fraction of the AE line it is.
- 00:40
So AC is 1/2 of AE.
- 00:44
CD is 1/4 of AE.
- 00:51
AC + CD makes AD, so AD is 1/2 of AE + 1/4 of AE.
- 00:59
With the addition worked out, AD is 3/4 of AE.
- 01:02
The problem tells us that AB is 6, and AB + AB is AD because B is the midpoint of AD.
- 01:09
This means that the length of AD is 12.
- 01:13
We also know that AD is 3/4 of AE, which allows us to write a short equation.
- 01:17
3/4 times AE = 12. So multiply both sides by the reciprocal of 3/4…or 4/3.
- 01:25
…to get that the length of AE is 16.
- 01:28
And we're done.
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...