| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The dimensions of this trapezoid are a = 5, b = 6, c = 8, d = 2, and h = 4. What is the area?
| 13\(\frac{1}{2}\) | |
| 27\(\frac{1}{2}\) | |
| 16 | |
| 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 + 2)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16
The endpoints of this line segment are at (-2, -4) and (2, 6). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 1 | |
| y = -2x + 0 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = 1\(\frac{1}{2}\)x - 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 1
If a = 2, b = 7, c = 3, and d = 1, what is the perimeter of this quadrilateral?
| 26 | |
| 23 | |
| 13 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 7 + 3 + 1
p = 13
If a = 2 and z = 7, what is the value of -5a(a - z)?
| -336 | |
| 50 | |
| 0 | |
| 630 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-5a(a - z)
-5(2)(2 - 7)
-5(2)(-5)
(-10)(-5)
50
What is 5a6 - 8a6?
| -3a12 | |
| -3a6 | |
| 40a12 | |
| -3 |
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.
5a6 - 8a6 = -3a6