| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
Factor y2 + 5y - 6
| (y + 1)(y - 6) | |
| (y + 1)(y + 6) | |
| (y - 1)(y + 6) | |
| (y - 1)(y - 6) |
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 -6 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -1 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 5y - 6
y2 + (-1 + 6)y + (-1 x 6)
(y - 1)(y + 6)
The endpoints of this line segment are at (-2, 2) and (2, 0). What is the slope-intercept equation for this line?
| y = x - 1 | |
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -\(\frac{1}{2}\)x + 1 | |
| 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 1. 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, 2) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 1
Which of the following statements about math operations is incorrect?
all of these statements are correct |
|
you can add monomials that have the same variable and the same exponent |
|
you can multiply monomials that have different variables and different exponents |
|
you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
On this circle, a line segment connecting point A to point D is called:
circumference |
|
radius |
|
chord |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
|
perimeter = sum of side lengths |
|
sum of interior angles = 180° |
|
area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.