| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is 5a4 + 3a4?
| 8a8 | |
| 8a4 | |
| 15a8 | |
| a48 |
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.
5a4 + 3a4 = 8a4
If a = 3, b = 2, c = 7, and d = 6, what is the perimeter of this quadrilateral?
| 14 | |
| 25 | |
| 18 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 2 + 7 + 6
p = 18
The dimensions of this cube are height (h) = 4, length (l) = 7, and width (w) = 6. What is the volume?
| 192 | |
| 144 | |
| 168 | |
| 96 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 7 x 6
v = 168
Solve for a:
a2 - a + 9 = 4a + 5
| 8 or 4 | |
| 1 or 4 | |
| -4 or -6 | |
| -1 or -2 |
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:
a2 - a + 9 = 4a + 5
a2 - a + 9 - 5 = 4a
a2 - a - 4a + 4 = 0
a2 - 5a + 4 = 0
Next, factor the quadratic equation:
a2 - 5a + 4 = 0
(a - 1)(a - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a - 4) must equal zero:
If (a - 1) = 0, a must equal 1
If (a - 4) = 0, a must equal 4
So the solution is that a = 1 or 4
The endpoints of this line segment are at (-2, 2) and (2, -2). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| -3 | |
| -1 | |
| -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, 2) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)