| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 8. What is the volume?
| 324 | |
| 28 | |
| 64 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 8 x 8
v = 64
Simplify (y + 3)(y + 2)
| y2 - y - 6 | |
| y2 + 5y + 6 | |
| y2 + y - 6 | |
| y2 - 5y + 6 |
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 + 3)(y + 2)
(y x y) + (y x 2) + (3 x y) + (3 x 2)
y2 + 2y + 3y + 6
y2 + 5y + 6
On this circle, line segment CD is the:
circumference |
|
diameter |
|
radius |
|
chord |
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 (2a)(8ab) + (8a2)(4b).
| 48a2b | |
| 16a2b | |
| 120ab2 | |
| 16ab2 |
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.
(2a)(8ab) + (8a2)(4b)
(2 x 8)(a x a x b) + (8 x 4)(a2 x b)
(16)(a1+1 x b) + (32)(a2b)
16a2b + 32a2b
48a2b
Solve for z:
9z - 4 = 5 + 8z
| -3 | |
| -1\(\frac{2}{3}\) | |
| -1 | |
| 9 |
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.
9z - 4 = 5 + 8z
9z = 5 + 8z + 4
9z - 8z = 5 + 4
z = 9