| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
If a = c = 6, b = d = 8, and the blue angle = 79°, what is the area of this parallelogram?
| 10 | |
| 9 | |
| 48 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 8
a = 48
What is the circumference of a circle with a diameter of 9?
| 22π | |
| 9π | |
| 24π | |
| 19π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
Factor y2 - 8y + 7
| (y - 7)(y + 1) | |
| (y - 7)(y - 1) | |
| (y + 7)(y + 1) | |
| (y + 7)(y - 1) |
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 7 as well and sum (Inside, Outside) to equal -8. For this problem, those two numbers are -7 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 8y + 7
y2 + (-7 - 1)y + (-7 x -1)
(y - 7)(y - 1)
What is 9a - 9a?
| 0 | |
| 81a | |
| 0a | |
| 18a2 |
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.
9a - 9a = 0a
If b = -6 and y = 4, what is the value of -2b(b - y)?
| 936 | |
| -144 | |
| -120 | |
| -30 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-2b(b - y)
-2(-6)(-6 - 4)
-2(-6)(-10)
(12)(-10)
-120