| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
If a = c = 3, b = d = 6, what is the area of this rectangle?
| 64 | |
| 54 | |
| 18 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18
Solve for b:
b2 + 8b - 9 = 0
| 5 or -9 | |
| 1 or -9 | |
| -3 or -8 | |
| 9 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 8b - 9 = 0
(b - 1)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 9) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 9) = 0, b must equal -9
So the solution is that b = 1 or -9
What is 7a + 4a?
| a2 | |
| 28a | |
| 28a2 | |
| 11a |
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.
7a + 4a = 11a
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
area = ½bh |
|
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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.
What is the circumference of a circle with a radius of 4?
| 13π | |
| 32π | |
| 8π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 4)
c = 8π