| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
you can add monomials that have the same variable and the same exponent |
|
you can subtract monomials that have the same variable and the same exponent |
|
all of these statements are correct |
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.
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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 2. What is the surface area?
| 94 | |
| 110 | |
| 120 | |
| 136 |
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 2) + (2 x 2 x 6) + (2 x 6 x 6)
sa = (24) + (24) + (72)
sa = 120
Solve for z:
-8z - 3 > \( \frac{z}{-5} \)
| z > -4 | |
| z > -\(\frac{5}{13}\) | |
| z > \(\frac{8}{39}\) | |
| z > -7\(\frac{5}{7}\) |
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.
-8z - 3 > \( \frac{z}{-5} \)
-5 x (-8z - 3) > z
(-5 x -8z) + (-5 x -3) > z
40z + 15 > z
40z + 15 - z > 0
40z - z > -15
39z > -15
z > \( \frac{-15}{39} \)
z > -\(\frac{5}{13}\)