3.d Equation Traps Flashcards
(16 cards)
How would you solve a question where you are only given 1 equation with 2 unknowns?
Therefore, to divide by 8, (11-x) must be equal to a multiple of 8, in this case 8. Therefore x is 3.
How would you solve this question?
Find the value of “w” that allows you to divide by 5. This value is 3, as 54 - 8(3) = 30, and is divisible by 5.
(remember, it says it HAS to be an integer!)
How can you solve this?
How can you solve this?
You can divide by a variable only when you know that the variable is….
You can divide by a variable only when you know that the variable is NOT EQUAL TO ZERO
How can you solve this?
Watch out! You can only divide by x if you are told x is NOT 0. This is the best way to calculate it:
What are the 3 types of “hidden differences of squares”?
- Squared algebraic expressions
- Implied differences of squares
- Differences of squares with roots
A difference of squares in the form a2 - b2 can be factored to get (a+b)(a-b) even when variables a and b represent…
A difference of squares in the form a2 - b2 can be factored to get (a+b)(a-b) even when variables a and b represent ALGEBRAIC EXPRESSIONS
How would you answer this?
This is an example of a squared algebraic expression
What is the fastest way to calculate this?
Why is the difference of squares identity so useful?
Can help speed up any calculation in the required format
Can you use the difference of squares identity in this example?
Yes!
You can use the difference of squares identity when you are finding the product of two numbers that are…
You can use the difference of squares identity when you are finding the product of two numbers that are…
If one of the numbers is k greater than some value, and the other number is k smaller than the same value!
Why is this useful?
Because you can use it to create a difference of two squares situation
