| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Solve for y:
9y + 4 = \( \frac{y}{-6} \)
| \(\frac{12}{31}\) | |
| -\(\frac{12}{31}\) | |
| \(\frac{15}{31}\) | |
| -\(\frac{24}{55}\) |
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.
9y + 4 = \( \frac{y}{-6} \)
-6 x (9y + 4) = y
(-6 x 9y) + (-6 x 4) = y
-54y - 24 = y
-54y - 24 - y = 0
-54y - y = 24
-55y = 24
y = \( \frac{24}{-55} \)
y = -\(\frac{24}{55}\)
If side a = 6, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{72} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{18} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 62
c2 = 36 + 36
c2 = 72
c = \( \sqrt{72} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
quadrilateral |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
|
Odd |
|
First |
|
Inside |
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.
If a = 8, b = 5, c = 5, and d = 9, what is the perimeter of this quadrilateral?
| 25 | |
| 12 | |
| 27 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 5 + 5 + 9
p = 27