| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
3 |
|
4 |
|
2 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (5a)(3ab) - (8a2)(2b).
| ab2 | |
| 80ab2 | |
| -a2b | |
| -1a2b |
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.
(5a)(3ab) - (8a2)(2b)
(5 x 3)(a x a x b) - (8 x 2)(a2 x b)
(15)(a1+1 x b) - (16)(a2b)
15a2b - 16a2b
-1a2b
Solve for c:
-4c + 4 < -3 - 9c
| c < 1\(\frac{1}{3}\) | |
| c < -1\(\frac{2}{5}\) | |
| c < -1 | |
| c < \(\frac{1}{9}\) |
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.
-4c + 4 < -3 - 9c
-4c < -3 - 9c - 4
-4c + 9c < -3 - 4
5c < -7
c < \( \frac{-7}{5} \)
c < -1\(\frac{2}{5}\)
Simplify 6a x 9b.
| 54\( \frac{a}{b} \) | |
| 54\( \frac{b}{a} \) | |
| 54ab | |
| 15ab |
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 x 9b = (6 x 9) (a x b) = 54ab
The dimensions of this cube are height (h) = 6, length (l) = 3, and width (w) = 5. What is the surface area?
| 26 | |
| 126 | |
| 262 | |
| 146 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 5) + (2 x 5 x 6) + (2 x 3 x 6)
sa = (30) + (60) + (36)
sa = 126