| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
What is the circumference of a circle with a diameter of 6?
| 18π | |
| 38π | |
| 6π | |
| 10π |
The formula for circumference is circle diameter x π:
c = πd
c = 6π
Solve for a:
-3a - 6 = 1 + 6a
| -7 | |
| -2 | |
| -\(\frac{7}{9}\) | |
| 2\(\frac{1}{3}\) |
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 equal sign and the answer on the other.
-3a - 6 = 1 + 6a
-3a = 1 + 6a + 6
-3a - 6a = 1 + 6
-9a = 7
a = \( \frac{7}{-9} \)
a = -\(\frac{7}{9}\)
Factor y2 + 4y - 21
| (y + 3)(y + 7) | |
| (y - 3)(y - 7) | |
| (y + 3)(y - 7) | |
| (y - 3)(y + 7) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 4y - 21
y2 + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)
Simplify (5a)(5ab) + (6a2)(7b).
| 67a2b | |
| 130a2b | |
| 67ab2 | |
| 17a2b |
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.
(5a)(5ab) + (6a2)(7b)
(5 x 5)(a x a x b) + (6 x 7)(a2 x b)
(25)(a1+1 x b) + (42)(a2b)
25a2b + 42a2b
67a2b
The dimensions of this trapezoid are a = 4, b = 5, c = 7, d = 4, and h = 3. What is the area?
| 22\(\frac{1}{2}\) | |
| 14 | |
| 13\(\frac{1}{2}\) | |
| 13 |
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(5 + 4)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)