| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is 9a8 + 5a8?
| 14a8 | |
| 45a16 | |
| 14a16 | |
| a816 |
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.
9a8 + 5a8 = 14a8
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
all of these |
|
origin |
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.
If a = c = 7, b = d = 5, and the blue angle = 55°, what is the area of this parallelogram?
| 36 | |
| 48 | |
| 5 | |
| 35 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 5
a = 35
The dimensions of this trapezoid are a = 6, b = 6, c = 7, d = 2, and h = 4. What is the area?
| 32\(\frac{1}{2}\) | |
| 12 | |
| 6 | |
| 16 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 2)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16
Solve for a:
a2 + 2a - 29 = a + 1
| 7 or 3 | |
| 5 or -6 | |
| 6 or -8 | |
| 9 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 + 2a - 29 = a + 1
a2 + 2a - 29 - 1 = a
a2 + 2a - a - 30 = 0
a2 + a - 30 = 0
Next, factor the quadratic equation:
a2 + a - 30 = 0
(a - 5)(a + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 6) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 6) = 0, a must equal -6
So the solution is that a = 5 or -6