| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
What is 2a9 + 2a9?
| 4 | |
| a918 | |
| 0 | |
| 4a9 |
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.
2a9 + 2a9 = 4a9
Solve for c:
c2 + 3c - 3 = 3c + 1
| 2 or -2 | |
| 3 or -3 | |
| 4 or 2 | |
| 7 or -3 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 + 3c - 3 = 3c + 1
c2 + 3c - 3 - 1 = 3c
c2 + 3c - 3c - 4 = 0
c2 - 4 = 0
Next, factor the quadratic equation:
c2 - 4 = 0
(c - 2)(c + 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c + 2) must equal zero:
If (c - 2) = 0, c must equal 2
If (c + 2) = 0, c must equal -2
So the solution is that c = 2 or -2
The endpoints of this line segment are at (-2, -1) and (2, 3). What is the slope-intercept equation for this line?
| y = x + 1 | |
| y = 1\(\frac{1}{2}\)x + 1 | |
| y = x + 4 | |
| y = -2\(\frac{1}{2}\)x + 3 |
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 1. 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, -1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 1
What is 4a2 - 2a2?
| 8a4 | |
| 2a2 | |
| 6a4 | |
| 6 |
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.
4a2 - 2a2 = 2a2
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
trapezoid |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.