| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
If a = c = 6, b = d = 9, what is the area of this rectangle?
| 12 | |
| 72 | |
| 54 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 9
a = 54
If the base of this triangle is 9 and the height is 1, what is the area?
| 54 | |
| 78 | |
| 49 | |
| 4\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 1 = \( \frac{9}{2} \) = 4\(\frac{1}{2}\)
If angle a = 25° and angle b = 55° what is the length of angle d?
| 138° | |
| 117° | |
| 155° | |
| 124° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 25° - 55° = 100°
So, d° = 55° + 100° = 155°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 25° = 155°
What is 2a - 8a?
| -6a2 | |
| 10 | |
| -6a | |
| 16a |
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.
2a - 8a = -6a
Solve for x:
x2 - 5x + 6 = 0
| 3 or 3 | |
| 9 or -4 | |
| 2 or 3 | |
| 7 or 5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 5x + 6 = 0
(x - 2)(x - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 3) must equal zero:
If (x - 2) = 0, x must equal 2
If (x - 3) = 0, x must equal 3
So the solution is that x = 2 or 3