| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 9. What is the surface area?
| 64 | |
| 222 | |
| 160 | |
| 70 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 7) + (2 x 3 x 7)
sa = (54) + (126) + (42)
sa = 222
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r |
|
c = π d |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 51° and angle b = 37° what is the length of angle c?
| 76° | |
| 110° | |
| 92° | |
| 89° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 51° - 37° = 92°
Solve for x:
-3x + 2 = -1 + 4x
| -\(\frac{1}{2}\) | |
| \(\frac{3}{7}\) | |
| \(\frac{7}{8}\) | |
| -1 |
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.
-3x + 2 = -1 + 4x
-3x = -1 + 4x - 2
-3x - 4x = -1 - 2
-7x = -3
x = \( \frac{-3}{-7} \)
x = \(\frac{3}{7}\)
What is 3a - 4a?
| 7 | |
| a2 | |
| 12a2 | |
| -1a |
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.
3a - 4a = -1a