| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
A coordinate grid is composed of which of the following?
all of these |
|
x-axis |
|
origin |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If b = 8 and y = 8, what is the value of -9b(b - y)?
| 192 | |
| 98 | |
| 270 | |
| 0 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-9b(b - y)
-9(8)(8 - 8)
-9(8)(0)
(-72)(0)
0
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
vertical, supplementary |
|
acute, obtuse |
|
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 cylinder are height (h) = 2 and radius (r) = 5. What is the surface area?
| 216π | |
| 108π | |
| 70π | |
| 18π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 2)
sa = 2π(25) + 2π(10)
sa = (2 x 25)π + (2 x 10)π
sa = 50π + 20π
sa = 70π
Simplify (5a)(6ab) - (8a2)(3b).
| 54a2b | |
| 121ab2 | |
| -6ab2 | |
| 6a2b |
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)(6ab) - (8a2)(3b)
(5 x 6)(a x a x b) - (8 x 3)(a2 x b)
(30)(a1+1 x b) - (24)(a2b)
30a2b - 24a2b
6a2b