ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Numbers and Operations Videos 63 videos

SAT Math 1.1 Numbers and Operations
280 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

SAT Math 3.5 Numbers and Operations
174 Views

SAT Math 3.5 Numbers and Operations

SAT Math 5.5 Numbers and Operations
182 Views

SAT Math 5.5 Numbers and Operations

See All

SAT Math 3.6 Numbers and Operations 208 Views


Share It!


Description:

SAT Math 3.6 Numbers and Operations

Language:
English Language

Transcript

00:02

Put this in your calculator and shmoop it...

00:05

If a + b = 12, b + c = 17, and a + c = 9, what is the value of a + b + c?

00:14

And here are the potential answers...

00:18

If we push our way through the annoying crowd of variables...

00:21

...we'll find that what this question is actually asking

00:24

is just for us to sum a, b, and c.

00:28

What if... we add up all three of the equations that are given to us?

00:32

In that case, we get a + b + b + c + a + c equals 12 + 17 + 9.

00:42

And if we combine all like terms...we get 2a + 2b + 2c equals 38.

00:52

Next, we can distribute the 2 to make the equation 2 times the quantity a + b + c... equals 38.

00:59

Divide both sides by 2, and our equation looks like this: a + b + c = 19.

01:04

Answer B.

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...