| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If a = c = 2, b = d = 5, what is the area of this rectangle?
| 48 | |
| 36 | |
| 10 | |
| 18 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 5
a = 10
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
equal angle |
|
equal length |
|
parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (6a)(9ab) + (9a2)(9b).
| 270a2b | |
| 270ab2 | |
| 27ab2 | |
| 135a2b |
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)(9ab) + (9a2)(9b)
(6 x 9)(a x a x b) + (9 x 9)(a2 x b)
(54)(a1+1 x b) + (81)(a2b)
54a2b + 81a2b
135a2b
Solve -3b - 3b = -5b - z - 6 for b in terms of z.
| -\(\frac{1}{5}\)z - \(\frac{1}{2}\) | |
| -2z + 1\(\frac{3}{5}\) | |
| z - 3 | |
| -\(\frac{4}{11}\)z - \(\frac{2}{11}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-3b - 3z = -5b - z - 6
-3b = -5b - z - 6 + 3z
-3b + 5b = -z - 6 + 3z
2b = 2z - 6
b = \( \frac{2z - 6}{2} \)
b = \( \frac{2z}{2} \) + \( \frac{-6}{2} \)
b = z - 3
Solve for z:
-9z - 3 = -1 - 8z
| -2 | |
| \(\frac{4}{5}\) | |
| 1 | |
| 1\(\frac{1}{3}\) |
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.
-9z - 3 = -1 - 8z
-9z = -1 - 8z + 3
-9z + 8z = -1 + 3
-z = 2
z = \( \frac{2}{-1} \)
z = -2