| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Solve for x:
2x - 9 < -1 + 5x
| x < -1 | |
| x < -2\(\frac{2}{3}\) | |
| x < 1 | |
| x < 6 |
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.
2x - 9 < -1 + 5x
2x < -1 + 5x + 9
2x - 5x < -1 + 9
-3x < 8
x < \( \frac{8}{-3} \)
x < -2\(\frac{2}{3}\)
What is 8a - 2a?
| 16a | |
| 6a | |
| a2 | |
| 16a2 |
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.
8a - 2a = 6a
If angle a = 26° and angle b = 70° what is the length of angle c?
| 80° | |
| 94° | |
| 83° | |
| 84° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 70° = 84°
The endpoints of this line segment are at (-2, 4) and (2, -8). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 1 | |
| y = -\(\frac{1}{2}\)x + 3 | |
| y = -3x - 2 | |
| y = -1\(\frac{1}{2}\)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 -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, 4) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 2
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.