| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
On this circle, line segment CD is the:
circumference |
|
radius |
|
chord |
|
diameter |
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 cube are height (h) = 3, length (l) = 4, and width (w) = 7. What is the volume?
| 288 | |
| 14 | |
| 84 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 4 x 7
v = 84
If a = 8 and x = -7, what is the value of -2a(a - x)?
| -240 | |
| 168 | |
| -156 | |
| 14 |
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.)
-2a(a - x)
-2(8)(8 + 7)
-2(8)(15)
(-16)(15)
-240
What is 5a + 9a?
| 14a | |
| 14 | |
| -4 | |
| -4a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 9a = 14a
Simplify (7a)(8ab) + (7a2)(9b).
| 119a2b | |
| -7ab2 | |
| 240ab2 | |
| 119ab2 |
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.
(7a)(8ab) + (7a2)(9b)
(7 x 8)(a x a x b) + (7 x 9)(a2 x b)
(56)(a1+1 x b) + (63)(a2b)
56a2b + 63a2b
119a2b