| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
Simplify (y + 9)(y - 7)
| y2 - 2y - 63 | |
| y2 - 16y + 63 | |
| y2 + 2y - 63 | |
| y2 + 16y + 63 |
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 + 9)(y - 7)
(y x y) + (y x -7) + (9 x y) + (9 x -7)
y2 - 7y + 9y - 63
y2 + 2y - 63
If the base of this triangle is 8 and the height is 9, what is the area?
| 15 | |
| 30 | |
| 36 | |
| 45 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 9 = \( \frac{72}{2} \) = 36
Solve for a:
a2 - 3a - 28 = 0
| -4 or 7 | |
| -1 or -4 | |
| 8 or 5 | |
| 9 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 3a - 28 = 0
(a + 4)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a - 7) must equal zero:
If (a + 4) = 0, a must equal -4
If (a - 7) = 0, a must equal 7
So the solution is that a = -4 or 7
If a = c = 1, b = d = 2, and the blue angle = 52°, what is the area of this parallelogram?
| 24 | |
| 2 | |
| 14 | |
| 8 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = π d2 |
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.