| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
A coordinate grid is composed of which of the following?
y-axis |
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x-axis |
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all of these |
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origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve for b:
3b + 4 < \( \frac{b}{1} \)
| b < 13\(\frac{1}{2}\) | |
| b < -\(\frac{4}{29}\) | |
| b < -2 | |
| b < -1\(\frac{3}{17}\) |
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.
3b + 4 < \( \frac{b}{1} \)
1 x (3b + 4) < b
(1 x 3b) + (1 x 4) < b
3b + 4 < b
3b + 4 - b < 0
3b - b < -4
2b < -4
b < \( \frac{-4}{2} \)
b < -2
If side a = 4, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{73} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 72
c2 = 16 + 49
c2 = 65
c = \( \sqrt{65} \)
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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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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all interior angles are right angles |
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).