| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
If a = c = 5, b = d = 9, and the blue angle = 76°, what is the area of this parallelogram?
| 1 | |
| 3 | |
| 28 | |
| 45 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45
Solve for b:
-9b + 9 > \( \frac{b}{2} \)
| b > -\(\frac{36}{53}\) | |
| b > -3\(\frac{3}{5}\) | |
| b > \(\frac{18}{19}\) | |
| b > -\(\frac{6}{7}\) |
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 > sign and the answer on the other.
-9b + 9 > \( \frac{b}{2} \)
2 x (-9b + 9) > b
(2 x -9b) + (2 x 9) > b
-18b + 18 > b
-18b + 18 - b > 0
-18b - b > -18
-19b > -18
b > \( \frac{-18}{-19} \)
b > \(\frac{18}{19}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
exponents |
|
division |
|
addition |
When solving an equation with two variables, 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.)
Solve for x:
x2 + 6x - 16 = 0
| 2 or -8 | |
| -1 or -5 | |
| 2 or -9 | |
| 5 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 6x - 16 = 0
(x - 2)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 8) must equal zero:
If (x - 2) = 0, x must equal 2
If (x + 8) = 0, x must equal -8
So the solution is that x = 2 or -8
If a = 8, b = 4, c = 1, and d = 3, what is the perimeter of this quadrilateral?
| 21 | |
| 18 | |
| 19 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 4 + 1 + 3
p = 16