| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
If b = -4 and x = 3, what is the value of -5b(b - x)?
| -220 | |
| -392 | |
| -140 | |
| -110 |
To solve this equation, 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.)
-5b(b - x)
-5(-4)(-4 - 3)
-5(-4)(-7)
(20)(-7)
-140
Solve for b:
-2b + 2 = 8 - b
| -6 | |
| 1\(\frac{1}{3}\) | |
| -\(\frac{2}{3}\) | |
| -\(\frac{7}{8}\) |
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.
-2b + 2 = 8 - b
-2b = 8 - b - 2
-2b + b = 8 - 2
-b = 6
b = \( \frac{6}{-1} \)
b = -6
The endpoints of this line segment are at (-2, 9) and (2, -1). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 4 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = 3x - 2 | |
| y = -\(\frac{1}{2}\)x - 1 |
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, 9) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 4
Solve for a:
-8a - 9 > -2 + 9a
| a > -\(\frac{7}{17}\) | |
| a > -\(\frac{1}{2}\) | |
| a > \(\frac{1}{4}\) | |
| a > 1\(\frac{4}{5}\) |
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.
-8a - 9 > -2 + 9a
-8a > -2 + 9a + 9
-8a - 9a > -2 + 9
-17a > 7
a > \( \frac{7}{-17} \)
a > -\(\frac{7}{17}\)
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
y-axis |
|
x-axis |
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.