| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.75 |
| Score | 0% | 75% |
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d2 |
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a = π r |
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a = π d |
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.
Which of the following expressions contains exactly two terms?
quadratic |
|
binomial |
|
monomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for y:
y2 + 6y - 16 = -y + 2
| 5 or -8 | |
| 6 or 4 | |
| 2 or -9 | |
| 9 or -8 |
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:
y2 + 6y - 16 = -y + 2
y2 + 6y - 16 - 2 = -y
y2 + 6y + y - 18 = 0
y2 + 7y - 18 = 0
Next, factor the quadratic equation:
y2 + 7y - 18 = 0
(y - 2)(y + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y + 9) must equal zero:
If (y - 2) = 0, y must equal 2
If (y + 9) = 0, y must equal -9
So the solution is that y = 2 or -9
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 7. What is the volume?
| 84 | |
| 48 | |
| 168 | |
| 64 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 2 x 7
v = 84
What is 3a - 9a?
| 27a | |
| 12 | |
| -6a | |
| 27a2 |
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.
3a - 9a = -6a