| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Simplify (8a)(6ab) + (4a2)(4b).
| 112a2b | |
| 112ab2 | |
| 64a2b | |
| -32a2b |
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)(6ab) + (4a2)(4b)
(8 x 6)(a x a x b) + (4 x 4)(a2 x b)
(48)(a1+1 x b) + (16)(a2b)
48a2b + 16a2b
64a2b
A right angle measures:
360° |
|
90° |
|
45° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
chord |
|
circumference |
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).
The dimensions of this cylinder are height (h) = 3 and radius (r) = 5. What is the volume?
| 24π | |
| 75π | |
| 144π | |
| 96π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 3)
v = 75π
Solve for z:
-6z - 9 = -5 - 4z
| -1\(\frac{1}{5}\) | |
| -\(\frac{8}{9}\) | |
| -2 | |
| \(\frac{1}{4}\) |
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 equal sign and the answer on the other.
-6z - 9 = -5 - 4z
-6z = -5 - 4z + 9
-6z + 4z = -5 + 9
-2z = 4
z = \( \frac{4}{-2} \)
z = -2