GMAT: Math 7 | Problem solving | GMAT | Khan Academy

TL;DR

The content covers topics related to graphing, divisibility, and quadratic equations, including solving for points on a graph, determining divisibility rules, and finding solutions to quadratic equations.

Transcript

We're on problem 36. They've drawn a little graph here. So let's draw it up for ourselves. So that's the y-axis. That is the x-axis. And then they have this point. Let's see, minus 1. They say, 1, 2, 3. Let's see. 1, 2. And then they have this line segment PQ that goes from 0, minus 1. Let me draw that in a different color. It goes from 0, minus 1 ... Read More

Key Insights

• 🫥 Understanding coordinates and how to find points on a line segment based on given conditions.
• #️⃣ Divisibility rules and determining which numbers a given number must be divisible by.
• 🧑‍🏭 Factoring quadratic equations and finding the other solutions when one solution is known.

Questions & Answers

Q: How can we find a point on a line segment that is twice as far from one end as it is from the other end?

By understanding the relation between the x and y coordinates on the line segment and determining the specific point that satisfies the given conditions.

Q: What must a number be divisible by if it is divisible by both 5 and 7?

The number must be divisible by their product, 35, as shown by the example of 35 being divisible by 5 and 7 but not by 12 or 70.

Q: How can we find the other solution to a quadratic equation when one solution is already known?

By factoring the quadratic equation and substituting the known solution to identify the other value that satisfies the equation.

Q: Can you explain the steps to solve the equation -3x squared when x is equal to -3?

We substitute -3 for x in the equation and simplify to find that -3 times (-3) squared equals -27.

Summary & Key Takeaways

• In the first part, the video explains how to find a point on a line segment that is twice as far from one end as it is from the other end.

• The second part discusses divisibility and how to determine if a number is divisible by certain factors.

• The third part demonstrates how to find the other solution to a quadratic equation when one solution is already known.