| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
exterior angle = sum of two adjacent interior angles |
|
area = ½bh |
|
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.
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Simplify 6a x 8b.
| 48\( \frac{b}{a} \) | |
| 48\( \frac{a}{b} \) | |
| 48a2b2 | |
| 48ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
6a x 8b = (6 x 8) (a x b) = 48ab
Solve for b:
b2 + 6b - 21 = -b - 3
| -7 or -8 | |
| 5 or -8 | |
| 6 or -8 | |
| 2 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 + 6b - 21 = -b - 3
b2 + 6b - 21 + 3 = -b
b2 + 6b + b - 18 = 0
b2 + 7b - 18 = 0
Next, factor the quadratic equation:
b2 + 7b - 18 = 0
(b - 2)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 9) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 9) = 0, b must equal -9
So the solution is that b = 2 or -9
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 9 | |
| 24 | |
| 21 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21