| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.51 |
| Score | 0% | 50% |
Solve for b:
8b + 5 = \( \frac{b}{2} \)
| -2 | |
| -\(\frac{2}{3}\) | |
| \(\frac{28}{29}\) | |
| -1\(\frac{3}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
8b + 5 = \( \frac{b}{2} \)
2 x (8b + 5) = b
(2 x 8b) + (2 x 5) = b
16b + 10 = b
16b + 10 - b = 0
16b - b = -10
15b = -10
b = \( \frac{-10}{15} \)
b = -\(\frac{2}{3}\)
A quadrilateral is a shape with __________ sides.
4 |
|
5 |
|
2 |
|
3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d2 |
|
c = π r |
|
c = 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.
The dimensions of this trapezoid are a = 4, b = 8, c = 7, d = 6, and h = 2. What is the area?
| 11 | |
| 30 | |
| 21 | |
| 14 |
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(8 + 6)(2)
a = ½(14)(2)
a = ½(28) = \( \frac{28}{2} \)
a = 14
The endpoints of this line segment are at (-2, 0) and (2, 4). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x - 1 | |
| y = -\(\frac{1}{2}\)x + 4 | |
| y = x + 2 | |
| y = \(\frac{1}{2}\)x + 1 |
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 2. 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, 0) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 2