| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.49 |
| Score | 0% | 50% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
you can subtract monomials that have the same variable and the same exponent |
|
all of these statements are correct |
|
you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
The dimensions of this cylinder are height (h) = 7 and radius (r) = 6. What is the surface area?
| 288π | |
| 144π | |
| 30π | |
| 156π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 7)
sa = 2π(36) + 2π(42)
sa = (2 x 36)π + (2 x 42)π
sa = 72π + 84π
sa = 156π
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
|
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 |
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°).
Solve for y:
-y + 2 < \( \frac{y}{-8} \)
| y < 2\(\frac{2}{7}\) | |
| y < -1\(\frac{3}{5}\) | |
| y < -1\(\frac{5}{13}\) | |
| y < -\(\frac{20}{39}\) |
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.
-y + 2 < \( \frac{y}{-8} \)
-8 x (-y + 2) < y
(-8 x -y) + (-8 x 2) < y
8y - 16 < y
8y - 16 - y < 0
8y - y < 16
7y < 16
y < \( \frac{16}{7} \)
y < 2\(\frac{2}{7}\)
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
bisects |
|
midpoints |
|
intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.