| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.32 |
| Score | 0% | 46% |
Simplify (y + 8)(y + 5)
| y2 - 3y - 40 | |
| y2 - 13y + 40 | |
| y2 + 3y - 40 | |
| y2 + 13y + 40 |
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 + 8)(y + 5)
(y x y) + (y x 5) + (8 x y) + (8 x 5)
y2 + 5y + 8y + 40
y2 + 13y + 40
Solve for a:
-8a - 1 > \( \frac{a}{8} \)
| a > -\(\frac{8}{65}\) | |
| a > -1\(\frac{29}{34}\) | |
| a > \(\frac{5}{18}\) | |
| a > -3\(\frac{1}{3}\) |
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.
-8a - 1 > \( \frac{a}{8} \)
8 x (-8a - 1) > a
(8 x -8a) + (8 x -1) > a
-64a - 8 > a
-64a - 8 - a > 0
-64a - a > 8
-65a > 8
a > \( \frac{8}{-65} \)
a > -\(\frac{8}{65}\)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and isosceles |
|
equilateral, isosceles and right |
|
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.
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
bisects |
|
trisects |
|
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.
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π d2 |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.