| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
What is the circumference of a circle with a diameter of 12?
| 12π | |
| 28π | |
| 15π | |
| 34π |
The formula for circumference is circle diameter x π:
c = πd
c = 12π
The dimensions of this trapezoid are a = 5, b = 6, c = 6, d = 5, and h = 3. What is the area?
| 16 | |
| 18 | |
| 16\(\frac{1}{2}\) | |
| 20 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 5)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)
Solve for x:
x2 + x - 72 = 0
| 4 or 3 | |
| -2 or -3 | |
| 8 or -9 | |
| 4 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + x - 72 = 0
(x - 8)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 8) or (x + 9) must equal zero:
If (x - 8) = 0, x must equal 8
If (x + 9) = 0, x must equal -9
So the solution is that x = 8 or -9
What is 6a4 + 9a4?
| 15a8 | |
| 15a4 | |
| a48 | |
| 15 |
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.
6a4 + 9a4 = 15a4
Simplify (y - 1)(y + 4)
| y2 + 5y + 4 | |
| y2 + 3y - 4 | |
| y2 - 3y - 4 | |
| y2 - 5y + 4 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y + 4)
(y x y) + (y x 4) + (-1 x y) + (-1 x 4)
y2 + 4y - y - 4
y2 + 3y - 4