| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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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 z:
z2 + 2z - 8 = 0
| 3 or 1 | |
| 8 or 2 | |
| 2 or -4 | |
| 9 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 2z - 8 = 0
(z - 2)(z + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 4) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 4) = 0, z must equal -4
So the solution is that z = 2 or -4
The dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 6. What is the surface area?
| 22 | |
| 72 | |
| 88 | |
| 92 |
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 3 x 6) + (2 x 6 x 2) + (2 x 3 x 2)
sa = (36) + (24) + (12)
sa = 72
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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bisects |
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intersects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.