| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.47 |
| Score | 0% | 49% |
Simplify (y + 2)(y - 4)
| y2 + 2y - 8 | |
| y2 + 6y + 8 | |
| y2 - 2y - 8 | |
| y2 - 6y + 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y - 4)
(y x y) + (y x -4) + (2 x y) + (2 x -4)
y2 - 4y + 2y - 8
y2 - 2y - 8
The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?
| 4π | |
| 486π | |
| 1π | |
| 112π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 1)
v = 4π
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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intersects |
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trisects |
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.
Solve -5b + 3b = -6b + 2y + 7 for b in terms of y.
| \(\frac{1}{2}\)y - \(\frac{3}{4}\) | |
| \(\frac{3}{5}\)y + \(\frac{1}{2}\) | |
| -y + 7 | |
| \(\frac{5}{6}\)y - \(\frac{5}{6}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-5b + 3y = -6b + 2y + 7
-5b = -6b + 2y + 7 - 3y
-5b + 6b = 2y + 7 - 3y
b = -y + 7