| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Simplify (y - 4)(y - 4)
| y2 - 8y + 16 | |
| y2 - 16 | |
| y2 + 8y + 16 | |
| 20 |
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 - 4)(y - 4)
(y x y) + (y x -4) + (-4 x y) + (-4 x -4)
y2 - 4y - 4y + 16
y2 - 8y + 16
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = 2x + 1 | |
| y = \(\frac{1}{2}\)x - 2 | |
| y = 2x - 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x - 2
What is 3a + 9a?
| a2 | |
| 27a | |
| 12a | |
| -6 |
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.
3a + 9a = 12a
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
right angle |
|
parallel |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.