| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
What is 3a - 7a?
| -4a | |
| 21a2 | |
| -4 | |
| 21a |
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 - 7a = -4a
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the volume?
| 144π | |
| 80π | |
| 4π | |
| 28π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 4)
v = 4π
Solve for z:
z2 + 19z + 49 = 4z - 5
| -6 or -9 | |
| 8 or -5 | |
| 4 or -5 | |
| 2 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 19z + 49 = 4z - 5
z2 + 19z + 49 + 5 = 4z
z2 + 19z - 4z + 54 = 0
z2 + 15z + 54 = 0
Next, factor the quadratic equation:
z2 + 15z + 54 = 0
(z + 6)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z + 9) must equal zero:
If (z + 6) = 0, z must equal -6
If (z + 9) = 0, z must equal -9
So the solution is that z = -6 or -9
The dimensions of this trapezoid are a = 5, b = 8, c = 7, d = 9, and h = 4. What is the area?
| 9 | |
| 34 | |
| 7 | |
| 37\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 9)(4)
a = ½(17)(4)
a = ½(68) = \( \frac{68}{2} \)
a = 34
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
trapezoid |
|
rhombus |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.