| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal length |
|
right angle |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (4a)(2ab) - (2a2)(8b).
| -8a2b | |
| 24a2b | |
| 60a2b | |
| 8ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(2ab) - (2a2)(8b)
(4 x 2)(a x a x b) - (2 x 8)(a2 x b)
(8)(a1+1 x b) - (16)(a2b)
8a2b - 16a2b
-8a2b
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 5. What is the surface area?
| 184 | |
| 142 | |
| 378 | |
| 76 |
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 8 x 5) + (2 x 5 x 4) + (2 x 8 x 4)
sa = (80) + (40) + (64)
sa = 184
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 2. What is the volume?
| 16 | |
| 270 | |
| 168 | |
| 384 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 2 x 2
v = 16
Solve for c:
c2 - 14c + 49 = 0
| 7 | |
| 3 or -3 | |
| 7 or -4 | |
| 9 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 14c + 49 = 0
(c - 7)(c - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (c - 7) must equal zero:
If (c - 7) = 0, c must equal 7
So the solution is that c = 7