| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
The endpoints of this line segment are at (-2, -2) and (2, 6). What is the slope-intercept equation for this line?
| y = -x + 1 | |
| y = 1\(\frac{1}{2}\)x + 0 | |
| y = 2x - 1 | |
| y = 2x + 2 |
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 2. 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, -2) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x + 2
What is 9a8 + 6a8?
| 54a8 | |
| 3a16 | |
| 15a8 | |
| 54a16 |
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.
9a8 + 6a8 = 15a8
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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addition |
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division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
If the base of this triangle is 8 and the height is 9, what is the area?
| 36 | |
| 50 | |
| 28 | |
| 30 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 9 = \( \frac{72}{2} \) = 36
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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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°.