| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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monomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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isosceles and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for c:
5c - 4 > 4 - 5c
| c > -\(\frac{2}{3}\) | |
| c > 1 | |
| c > \(\frac{2}{3}\) | |
| c > \(\frac{4}{5}\) |
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 > sign and the answer on the other.
5c - 4 > 4 - 5c
5c > 4 - 5c + 4
5c + 5c > 4 + 4
10c > 8
c > \( \frac{8}{10} \)
c > \(\frac{4}{5}\)
Solve for c:
c2 + 3c - 28 = 0
| -4 or -9 | |
| 9 or -1 | |
| 4 or -7 | |
| 3 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 3c - 28 = 0
(c - 4)(c + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c + 7) must equal zero:
If (c - 4) = 0, c must equal 4
If (c + 7) = 0, c must equal -7
So the solution is that c = 4 or -7
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x - 3 | |
| y = x + 2 | |
| y = -1\(\frac{1}{2}\)x - 4 | |
| y = -2\(\frac{1}{2}\)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 -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, -1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 4