| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
A(n) __________ is two expressions separated by an equal sign.
equation |
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problem |
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expression |
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formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
This diagram represents two parallel lines with a transversal. If z° = 10, what is the value of b°?
| 155 | |
| 33 | |
| 170 | |
| 154 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with z° = 10, the value of b° is 170.
The endpoints of this line segment are at (-2, 9) and (2, -1). What is the slope-intercept equation for this line?
| y = 3x - 1 | |
| y = -3x - 1 | |
| y = 1\(\frac{1}{2}\)x + 0 | |
| y = -2\(\frac{1}{2}\)x + 4 |
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 4. 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, 9) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 4
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 5. What is the volume?
| 336 | |
| 100 | |
| 42 | |
| 16 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 5
v = 100
On this circle, line segment CD is the:
circumference |
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radius |
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diameter |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).