| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Simplify (4a)(7ab) - (8a2)(6b).
| 154ab2 | |
| -20a2b | |
| 76ab2 | |
| 20ab2 |
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.
(4a)(7ab) - (8a2)(6b)
(4 x 7)(a x a x b) - (8 x 6)(a2 x b)
(28)(a1+1 x b) - (48)(a2b)
28a2b - 48a2b
-20a2b
The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 6. What is the surface area?
| 126 | |
| 168 | |
| 56 | |
| 222 |
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 2 x 6) + (2 x 6 x 9) + (2 x 2 x 9)
sa = (24) + (108) + (36)
sa = 168
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
What is 8a - 4a?
| 12 | |
| 32a | |
| 4 | |
| 4a |
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.
8a - 4a = 4a
The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 1. What is the volume?
| 96 | |
| 63 | |
| 504 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 9 x 1
v = 63