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ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?
CAHSEE Math 2.5 Algebra and Functions 321 Views
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Description:
Algebra and Functions: Drill Set 2, Problem 5. Simplify the expression.
Transcript
- 00:03
And here's your shmoop du jour.
- 00:06
Simplify the expression 5x2 + 6y2 - 4x2 + y2.
- 00:12
And here are the potential answers...
- 00:15
Before we spoil the ending, hit pause and try to solve it yourself.
- 00:22
This question is testing whether we know how to add and subtract
Full Transcript
- 00:25
elements of an equation with exponents.
- 00:29
This is what is usually referred to as "collecting like terms'...
- 00:33
...meaning, the coefficients of terms with the same variable and exponent are added.
- 00:41
The basic rule is that if they are of the same level of exponent --
- 00:44
i.e. taken to the same power, then... yeah. We can.
- 00:48
So in this equation we have 2 elements that are x squareds: 5x squared and negative 4x squared.
- 00:55
Combine them and we just have... x squared.
- 00:58
Same deal with y squared. We have 2 like elements:
- 01:01
one is 6y squared and the other is just plain old y squared.
- 01:05
These two add up to 7y squared.
- 01:08
The whole equation now simplifies to x squared plus 7y squared.
- 01:11
Answer: B. Finito.
- 01:13
Next time we come over, we look forward to seeing your new "like term" collection...
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