| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If BD = 24 and AD = 28, AB = ?
| 20 | |
| 9 | |
| 15 | |
| 4 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for c:
c2 - 5c + 6 = 0
| -1 or -5 | |
| 2 or 3 | |
| -2 or -8 | |
| 9 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 5c + 6 = 0
(c - 2)(c - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c - 3) must equal zero:
If (c - 2) = 0, c must equal 2
If (c - 3) = 0, c must equal 3
So the solution is that c = 2 or 3
Solve for z:
4z - 3 < 5 - z
| z < 1\(\frac{1}{2}\) | |
| z < -\(\frac{2}{9}\) | |
| z < -2\(\frac{1}{4}\) | |
| z < 1\(\frac{3}{5}\) |
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.
4z - 3 < 5 - z
4z < 5 - z + 3
4z + z < 5 + 3
5z < 8
z < \( \frac{8}{5} \)
z < 1\(\frac{3}{5}\)
What is 9a - 2a?
| 7 | |
| 7a | |
| 11 | |
| 11a2 |
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.
9a - 2a = 7a
The endpoints of this line segment are at (-2, 2) and (2, -2). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = 1\(\frac{1}{2}\)x + 2 | |
| y = \(\frac{1}{2}\)x + 3 | |
| y = -x + 0 |
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 0. 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, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 0