| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Solve for b:
8b - 3 = \( \frac{b}{-2} \)
| \(\frac{9}{32}\) | |
| 5 | |
| \(\frac{16}{41}\) | |
| \(\frac{6}{17}\) |
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.
8b - 3 = \( \frac{b}{-2} \)
-2 x (8b - 3) = b
(-2 x 8b) + (-2 x -3) = b
-16b + 6 = b
-16b + 6 - b = 0
-16b - b = -6
-17b = -6
b = \( \frac{-6}{-17} \)
b = \(\frac{6}{17}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
A right angle measures:
360° |
|
180° |
|
45° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 4. What is the surface area?
| 262 | |
| 148 | |
| 318 | |
| 178 |
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 6 x 4) + (2 x 4 x 5) + (2 x 6 x 5)
sa = (48) + (40) + (60)
sa = 148
Simplify (2a)(6ab) - (5a2)(3b).
| 64a2b | |
| -3a2b | |
| 27a2b | |
| 3ab2 |
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.
(2a)(6ab) - (5a2)(3b)
(2 x 6)(a x a x b) - (5 x 3)(a2 x b)
(12)(a1+1 x b) - (15)(a2b)
12a2b - 15a2b
-3a2b