| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
What is 6a7 + 5a7?
| 11a7 | |
| a714 | |
| 11 | |
| 11a14 |
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.
6a7 + 5a7 = 11a7
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.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?
| 140π | |
| 72π | |
| 4π | |
| 12π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π
Solve for a:
-6a - 4 < \( \frac{a}{-1} \)
| a < 1\(\frac{1}{19}\) | |
| a < -1\(\frac{5}{9}\) | |
| a < 1\(\frac{1}{2}\) | |
| a < -\(\frac{4}{5}\) |
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.
-6a - 4 < \( \frac{a}{-1} \)
-1 x (-6a - 4) < a
(-1 x -6a) + (-1 x -4) < a
6a + 4 < a
6a + 4 - a < 0
6a - a < -4
5a < -4
a < \( \frac{-4}{5} \)
a < -\(\frac{4}{5}\)
Solve for z:
z2 + 7z - 8 = 0
| 2 or -7 | |
| 7 or -4 | |
| 9 or 4 | |
| 1 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 7z - 8 = 0
(z - 1)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 8) must equal zero:
If (z - 1) = 0, z must equal 1
If (z + 8) = 0, z must equal -8
So the solution is that z = 1 or -8