| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
If a = c = 3, b = d = 4, and the blue angle = 76°, what is the area of this parallelogram?
| 12 | |
| 21 | |
| 30 | |
| 16 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
Solve for x:
x2 - 6x - 7 = 0
| 8 or 2 | |
| -5 or -7 | |
| 8 or -5 | |
| -1 or 7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 6x - 7 = 0
(x + 1)(x - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x - 7) must equal zero:
If (x + 1) = 0, x must equal -1
If (x - 7) = 0, x must equal 7
So the solution is that x = -1 or 7
What is 5a - 5a?
| 10a2 | |
| 0a | |
| 25a | |
| 2 |
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.
5a - 5a = 0a
If a = 7, b = 2, c = 2, and d = 5, what is the perimeter of this quadrilateral?
| 20 | |
| 13 | |
| 16 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 2 + 2 + 5
p = 16
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
perimeter = sum of side lengths |
|
area = ½bh |
|
exterior angle = sum of two adjacent interior angles |
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.