| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
A quadrilateral is a shape with __________ sides.
4 |
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2 |
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5 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 1 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = \(\frac{1}{2}\)x - 2 | |
| y = 1\(\frac{1}{2}\)x + 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 3
Simplify (7a)(7ab) - (3a2)(5b).
| 112a2b | |
| -34ab2 | |
| 112ab2 | |
| 34a2b |
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.
(7a)(7ab) - (3a2)(5b)
(7 x 7)(a x a x b) - (3 x 5)(a2 x b)
(49)(a1+1 x b) - (15)(a2b)
49a2b - 15a2b
34a2b
What is 2a9 - 2a9?
| 0a9 | |
| a918 | |
| 18 | |
| 0 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a9 - 2a9 = 0a9
Simplify (3a)(6ab) + (6a2)(9b).
| 36a2b | |
| 72a2b | |
| 135ab2 | |
| -36ab2 |
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)(6ab) + (6a2)(9b)
(3 x 6)(a x a x b) + (6 x 9)(a2 x b)
(18)(a1+1 x b) + (54)(a2b)
18a2b + 54a2b
72a2b