| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
Solve for b:
-b - 9 < \( \frac{b}{2} \)
| b < -\(\frac{63}{71}\) | |
| b < -6 | |
| b < 1\(\frac{3}{5}\) | |
| b < -\(\frac{15}{19}\) |
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 < sign and the answer on the other.
-b - 9 < \( \frac{b}{2} \)
2 x (-b - 9) < b
(2 x -b) + (2 x -9) < b
-2b - 18 < b
-2b - 18 - b < 0
-2b - b < 18
-3b < 18
b < \( \frac{18}{-3} \)
b < -6
If side x = 11cm, side y = 10cm, and side z = 15cm what is the perimeter of this triangle?
| 30cm | |
| 36cm | |
| 32cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 10cm + 15cm = 36cm
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Solve for c:
-8c + 7 = \( \frac{c}{4} \)
| \(\frac{28}{33}\) | |
| 7 | |
| 2\(\frac{1}{10}\) | |
| \(\frac{15}{22}\) |
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.
-8c + 7 = \( \frac{c}{4} \)
4 x (-8c + 7) = c
(4 x -8c) + (4 x 7) = c
-32c + 28 = c
-32c + 28 - c = 0
-32c - c = -28
-33c = -28
c = \( \frac{-28}{-33} \)
c = \(\frac{28}{33}\)