| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.00 |
| Score | 0% | 40% |
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.
The dimensions of this trapezoid are a = 6, b = 9, c = 9, d = 8, and h = 4. What is the area?
| 24 | |
| 34 | |
| 32\(\frac{1}{2}\) | |
| 11 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(4)
a = ½(17)(4)
a = ½(68) = \( \frac{68}{2} \)
a = 34
Solve 6b - 4b = -9b + z + 1 for b in terms of z.
| \(\frac{1}{4}\)z + \(\frac{1}{2}\) | |
| z + \(\frac{7}{8}\) | |
| -\(\frac{2}{3}\)z + 1\(\frac{2}{3}\) | |
| \(\frac{1}{3}\)z + \(\frac{1}{15}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
6b - 4z = -9b + z + 1
6b = -9b + z + 1 + 4z
6b + 9b = z + 1 + 4z
15b = 5z + 1
b = \( \frac{5z + 1}{15} \)
b = \( \frac{5z}{15} \) + \( \frac{1}{15} \)
b = \(\frac{1}{3}\)z + \(\frac{1}{15}\)
The formula for the area of a circle is which of the following?
c = π r |
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c = π r2 |
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c = π d2 |
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c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).