| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Solve for b:
-4b + 9 = -6 + 4b
| -\(\frac{2}{3}\) | |
| \(\frac{2}{3}\) | |
| 1\(\frac{7}{8}\) | |
| \(\frac{3}{4}\) |
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 equal sign and the answer on the other.
-4b + 9 = -6 + 4b
-4b = -6 + 4b - 9
-4b - 4b = -6 - 9
-8b = -15
b = \( \frac{-15}{-8} \)
b = 1\(\frac{7}{8}\)
What is 2a2 - 6a2?
| -4a2 | |
| 8a4 | |
| 8 | |
| 12a4 |
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.
2a2 - 6a2 = -4a2
What is 9a5 + 3a5?
| 6a10 | |
| 6 | |
| 27a10 | |
| 12a5 |
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.
9a5 + 3a5 = 12a5
The endpoints of this line segment are at (-2, 2) and (2, 6). What is the slope-intercept equation for this line?
| y = x + 4 | |
| y = -3x - 4 | |
| y = 3x - 4 | |
| y = -\(\frac{1}{2}\)x + 4 |
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 4. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 4
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
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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).