| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.44 |
| Score | 0% | 49% |
On this circle, a line segment connecting point A to point D is called:
diameter |
|
circumference |
|
chord |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Simplify (8a)(9ab) - (9a2)(2b).
| 187a2b | |
| 90ab2 | |
| 187ab2 | |
| 54a2b |
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) - (9a2)(2b)
(8 x 9)(a x a x b) - (9 x 2)(a2 x b)
(72)(a1+1 x b) - (18)(a2b)
72a2b - 18a2b
54a2b
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the surface area?
| 20π | |
| 140π | |
| 96π | |
| 234π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 3)
sa = 2π(4) + 2π(6)
sa = (2 x 4)π + (2 x 6)π
sa = 8π + 12π
sa = 20π
Simplify (y + 6)(y - 4)
| y2 - 2y - 24 | |
| y2 + 10y + 24 | |
| y2 + 2y - 24 | |
| y2 - 10y + 24 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 6)(y - 4)
(y x y) + (y x -4) + (6 x y) + (6 x -4)
y2 - 4y + 6y - 24
y2 + 2y - 24