| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
Solve for x:
2x - 7 > \( \frac{x}{-7} \)
| x > 3\(\frac{4}{15}\) | |
| x > -\(\frac{9}{10}\) | |
| x > -1\(\frac{1}{6}\) | |
| x > \(\frac{8}{63}\) |
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 > sign and the answer on the other.
2x - 7 > \( \frac{x}{-7} \)
-7 x (2x - 7) > x
(-7 x 2x) + (-7 x -7) > x
-14x + 49 > x
-14x + 49 - x > 0
-14x - x > -49
-15x > -49
x > \( \frac{-49}{-15} \)
x > 3\(\frac{4}{15}\)
Solve for x:
x2 + 3x - 54 = 0
| -2 or -6 | |
| 6 or -9 | |
| -2 or -8 | |
| -9 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 3x - 54 = 0
(x - 6)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 6) or (x + 9) must equal zero:
If (x - 6) = 0, x must equal 6
If (x + 9) = 0, x must equal -9
So the solution is that x = 6 or -9
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
triangle |
|
trapezoid |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If angle a = 49° and angle b = 20° what is the length of angle c?
| 63° | |
| 105° | |
| 111° | |
| 89° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 20° = 111°
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the surface area?
| 272π | |
| 252π | |
| 42π | |
| 288π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 4)
sa = 2π(9) + 2π(12)
sa = (2 x 9)π + (2 x 12)π
sa = 18π + 24π
sa = 42π