We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Number Lines Videos 4 videos

SAT Math 5.1 Numbers and Operations
274 Views

SAT Math 5.1 Numbers and Operations

SAT Math 5.7 Numbers and Operations
194 Views

SAT Math 5.7 Numbers and Operations

SAT Math 6.5 Algebra and Functions
173 Views

SAT Math 6.5 Algebra and Functions

See All

SAT Math 5.7 Numbers and Operations 194 Views


Share It!


Description:

SAT Math 5.7 Numbers and Operations

Language:
English Language

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?

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
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

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...

SAT Math: Which Equation Represents Profit?
13 Views

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...