| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Simplify (2a)(2ab) - (2a2)(5b).
| 28a2b | |
| 6ab2 | |
| -6a2b | |
| 28ab2 |
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.
(2a)(2ab) - (2a2)(5b)
(2 x 2)(a x a x b) - (2 x 5)(a2 x b)
(4)(a1+1 x b) - (10)(a2b)
4a2b - 10a2b
-6a2b
Solve for y:
-7y + 8 > 3 - 8y
| y > -5 | |
| y > -1\(\frac{2}{7}\) | |
| y > -1\(\frac{1}{6}\) | |
| y > -1\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-7y + 8 > 3 - 8y
-7y > 3 - 8y - 8
-7y + 8y > 3 - 8
y > -5
A quadrilateral is a shape with __________ sides.
5 |
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4 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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normalizing |
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squaring |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Factor y2 + 12y + 32
| (y + 4)(y + 8) | |
| (y + 4)(y - 8) | |
| (y - 4)(y + 8) | |
| (y - 4)(y - 8) |
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 32 as well and sum (Inside, Outside) to equal 12. For this problem, those two numbers are 4 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 12y + 32
y2 + (4 + 8)y + (4 x 8)
(y + 4)(y + 8)