| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If the base of this triangle is 5 and the height is 8, what is the area?
| 20 | |
| 31\(\frac{1}{2}\) | |
| 52\(\frac{1}{2}\) | |
| 37\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 8 = \( \frac{40}{2} \) = 20
Solve for z:
z2 - 6z + 27 = 4z + 3
| 8 or 6 | |
| 6 or 3 | |
| 7 or 1 | |
| 4 or 6 |
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:
z2 - 6z + 27 = 4z + 3
z2 - 6z + 27 - 3 = 4z
z2 - 6z - 4z + 24 = 0
z2 - 10z + 24 = 0
Next, factor the quadratic equation:
z2 - 10z + 24 = 0
(z - 4)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 4) or (z - 6) must equal zero:
If (z - 4) = 0, z must equal 4
If (z - 6) = 0, z must equal 6
So the solution is that z = 4 or 6
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π d |
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a = π r |
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a = π r2 |
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.
If a = c = 3, b = d = 9, what is the area of this rectangle?
| 27 | |
| 56 | |
| 18 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 9
a = 27