| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.90 |
| Score | 0% | 78% |
If a = 8, b = 8, c = 4, and d = 7, what is the perimeter of this quadrilateral?
| 23 | |
| 27 | |
| 20 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 8 + 4 + 7
p = 27
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
|
all interior angles are right angles |
|
the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Simplify 8a x 6b.
| 48\( \frac{a}{b} \) | |
| 14ab | |
| 48a2b2 | |
| 48ab |
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.
8a x 6b = (8 x 6) (a x b) = 48ab
What is 5a + 3a?
| 2a2 | |
| 15a | |
| 8a | |
| 15a2 |
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.
5a + 3a = 8a
What is 8a3 + 2a3?
| 10a3 | |
| 16a3 | |
| a36 | |
| 6 |
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.
8a3 + 2a3 = 10a3