| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Simplify (6a)(6ab) + (2a2)(6b).
| 96a2b | |
| -24a2b | |
| -24ab2 | |
| 48a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(6a)(6ab) + (2a2)(6b)
(6 x 6)(a x a x b) + (2 x 6)(a2 x b)
(36)(a1+1 x b) + (12)(a2b)
36a2b + 12a2b
48a2b
Factor y2 + 15y + 54
| (y + 6)(y + 9) | |
| (y - 6)(y + 9) | |
| (y - 6)(y - 9) | |
| (y + 6)(y - 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 54 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 15y + 54
y2 + (6 + 9)y + (6 x 9)
(y + 6)(y + 9)
The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π r |
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a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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normalizing |
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deconstructing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.