| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Solve for b:
b2 - 7b - 8 = 0
| 4 or 1 | |
| 8 or 2 | |
| 8 or 7 | |
| -1 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 7b - 8 = 0
(b + 1)(b - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 8) must equal zero:
If (b + 1) = 0, b must equal -1
If (b - 8) = 0, b must equal 8
So the solution is that b = -1 or 8
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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acute, right, obtuse |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Simplify (3a)(7ab) + (8a2)(2b).
| 5ab2 | |
| -5a2b | |
| 37a2b | |
| -5ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(7ab) + (8a2)(2b)
(3 x 7)(a x a x b) + (8 x 2)(a2 x b)
(21)(a1+1 x b) + (16)(a2b)
21a2b + 16a2b
37a2b
What is the area of a circle with a diameter of 6?
| 4π | |
| 3π | |
| 16π | |
| 9π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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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).