| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = π d2 |
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 a = 3, b = 9, c = 2, and d = 2, what is the perimeter of this quadrilateral?
| 20 | |
| 28 | |
| 15 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 9 + 2 + 2
p = 16
Solve for z:
z2 - 4z + 10 = 5z - 4
| -4 or -6 | |
| 2 or 7 | |
| 4 or -4 | |
| 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:
z2 - 4z + 10 = 5z - 4
z2 - 4z + 10 + 4 = 5z
z2 - 4z - 5z + 14 = 0
z2 - 9z + 14 = 0
Next, factor the quadratic equation:
z2 - 9z + 14 = 0
(z - 2)(z - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z - 7) must equal zero:
If (z - 2) = 0, z must equal 2
If (z - 7) = 0, z must equal 7
So the solution is that z = 2 or 7
Simplify (2a)(5ab) - (3a2)(2b).
| 4a2b | |
| 16a2b | |
| 35ab2 | |
| 16ab2 |
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)(5ab) - (3a2)(2b)
(2 x 5)(a x a x b) - (3 x 2)(a2 x b)
(10)(a1+1 x b) - (6)(a2b)
10a2b - 6a2b
4a2b
Simplify (y + 2)(y + 2)
| 88 | |
| y2 + 4y + 4 | |
| y2 - 4 | |
| y2 - 4y + 4 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4