| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c2 + a2 |
|
c - a |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
pairs |
|
addition |
|
division |
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.)
If a = c = 8, b = d = 9, what is the area of this rectangle?
| 45 | |
| 48 | |
| 21 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
Simplify (6a)(4ab) - (3a2)(9b).
| 3ab2 | |
| 51ab2 | |
| -3a2b | |
| 120a2b |
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.
(6a)(4ab) - (3a2)(9b)
(6 x 4)(a x a x b) - (3 x 9)(a2 x b)
(24)(a1+1 x b) - (27)(a2b)
24a2b - 27a2b
-3a2b
If side x = 7cm, side y = 13cm, and side z = 7cm what is the perimeter of this triangle?
| 30cm | |
| 28cm | |
| 37cm | |
| 27cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 13cm + 7cm = 27cm