| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Which of the following expressions contains exactly two terms?
polynomial |
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quadratic |
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monomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for a:
4a - 9 = \( \frac{a}{-3} \)
| \(\frac{3}{4}\) | |
| 2\(\frac{1}{13}\) | |
| -1\(\frac{2}{7}\) | |
| \(\frac{8}{11}\) |
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.
4a - 9 = \( \frac{a}{-3} \)
-3 x (4a - 9) = a
(-3 x 4a) + (-3 x -9) = a
-12a + 27 = a
-12a + 27 - a = 0
-12a - a = -27
-13a = -27
a = \( \frac{-27}{-13} \)
a = 2\(\frac{1}{13}\)
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The dimensions of this cube are height (h) = 6, length (l) = 9, and width (w) = 8. What is the surface area?
| 160 | |
| 22 | |
| 348 | |
| 106 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 8) + (2 x 8 x 6) + (2 x 9 x 6)
sa = (144) + (96) + (108)
sa = 348
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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\({\Delta y \over \Delta x}\) |
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x-intercept |
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y-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.