| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Factor y2 + 2y - 3
| (y - 1)(y + 3) | |
| (y + 1)(y + 3) | |
| (y - 1)(y - 3) | |
| (y + 1)(y - 3) |
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 -3 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y - 3
y2 + (-1 + 3)y + (-1 x 3)
(y - 1)(y + 3)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral, isosceles and right |
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equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is 5a5 + 2a5?
| 7a5 | |
| 10a10 | |
| a510 | |
| 3a10 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a5 + 2a5 = 7a5
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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midpoints |
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intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Simplify (8a)(3ab) + (3a2)(8b).
| 121ab2 | |
| 48a2b | |
| 2b | |
| b2 |
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.
(8a)(3ab) + (3a2)(8b)
(8 x 3)(a x a x b) + (3 x 8)(a2 x b)
(24)(a1+1 x b) + (24)(a2b)
24a2b + 24a2b
48a2b