| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
Solve for a:
-3a + 9 > \( \frac{a}{-4} \)
| a > 3\(\frac{3}{11}\) | |
| a > -\(\frac{4}{5}\) | |
| a > -2\(\frac{9}{13}\) | |
| a > \(\frac{18}{73}\) |
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.
-3a + 9 > \( \frac{a}{-4} \)
-4 x (-3a + 9) > a
(-4 x -3a) + (-4 x 9) > a
12a - 36 > a
12a - 36 - a > 0
12a - a > 36
11a > 36
a > \( \frac{36}{11} \)
a > 3\(\frac{3}{11}\)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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isosceles and right |
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equilateral 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.
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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x-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
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.
Which of the following expressions contains exactly two terms?
monomial |
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binomial |
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quadratic |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 61° and angle b = 56° what is the length of angle d?
| 158° | |
| 128° | |
| 114° | |
| 119° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 56° = 63°
So, d° = 56° + 63° = 119°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 61° = 119°