| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
2 |
|
5 |
|
3 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = c = 4, b = d = 6, what is the area of this rectangle?
| 24 | |
| 18 | |
| 14 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 6
a = 24
Solve for b:
b2 - 7b + 35 = 5b - 1
| 6 | |
| 9 or -6 | |
| 9 or -7 | |
| 7 or 3 |
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:
b2 - 7b + 35 = 5b - 1
b2 - 7b + 35 + 1 = 5b
b2 - 7b - 5b + 36 = 0
b2 - 12b + 36 = 0
Next, factor the quadratic equation:
b2 - 12b + 36 = 0
(b - 6)(b - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (b - 6) must equal zero:
If (b - 6) = 0, b must equal 6
So the solution is that b = 6
Simplify (2a)(4ab) + (7a2)(8b).
| 90a2b | |
| 64a2b | |
| 90ab2 | |
| 64ab2 |
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.
(2a)(4ab) + (7a2)(8b)
(2 x 4)(a x a x b) + (7 x 8)(a2 x b)
(8)(a1+1 x b) + (56)(a2b)
8a2b + 56a2b
64a2b
The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the volume?
| 256π | |
| 96π | |
| 12π | |
| 200π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 3)
v = 12π