| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Solve for x:
6x - 6 = \( \frac{x}{-1} \)
| -1\(\frac{13}{23}\) | |
| 4 | |
| \(\frac{6}{7}\) | |
| -\(\frac{4}{15}\) |
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 equal sign and the answer on the other.
6x - 6 = \( \frac{x}{-1} \)
-1 x (6x - 6) = x
(-1 x 6x) + (-1 x -6) = x
-6x + 6 = x
-6x + 6 - x = 0
-6x - x = -6
-7x = -6
x = \( \frac{-6}{-7} \)
x = \(\frac{6}{7}\)
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c - a |
|
c2 + a2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
Odd |
|
Last |
|
First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
A right angle measures:
45° |
|
360° |
|
180° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = c = 8, b = d = 6, and the blue angle = 74°, what is the area of this parallelogram?
| 63 | |
| 32 | |
| 42 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 6
a = 48