| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
If a = 5 and y = 6, what is the value of -3a(a - y)?
| -648 | |
| 15 | |
| 216 | |
| 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.)
-3a(a - y)
-3(5)(5 - 6)
-3(5)(-1)
(-15)(-1)
15
Simplify (8a)(9ab) - (3a2)(8b).
| 187a2b | |
| 48a2b | |
| 96a2b | |
| -48ab2 |
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.
(8a)(9ab) - (3a2)(8b)
(8 x 9)(a x a x b) - (3 x 8)(a2 x b)
(72)(a1+1 x b) - (24)(a2b)
72a2b - 24a2b
48a2b
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If a = c = 9, b = d = 2, and the blue angle = 57°, what is the area of this parallelogram?
| 54 | |
| 30 | |
| 18 | |
| 56 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 2
a = 18
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
obtuse, acute |
|
supplementary, vertical |
|
vertical, supplementary |
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).