| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
On this circle, a line segment connecting point A to point D is called:
chord |
|
radius |
|
diameter |
|
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).
Which of the following expressions contains exactly two terms?
monomial |
|
polynomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
On this circle, line segment AB is the:
radius |
|
chord |
|
circumference |
|
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).
Simplify (2a)(4ab) - (6a2)(4b).
| 32a2b | |
| 60ab2 | |
| 60a2b | |
| -16a2b |
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)(4ab) - (6a2)(4b)
(2 x 4)(a x a x b) - (6 x 4)(a2 x b)
(8)(a1+1 x b) - (24)(a2b)
8a2b - 24a2b
-16a2b
Find the value of a:
9a + y = -2
8a - 8y = -2
| -\(\frac{1}{2}\) | |
| 7 | |
| -\(\frac{9}{40}\) | |
| -2\(\frac{9}{40}\) |
You need to find the value of a so solve the first equation in terms of y:
9a + y = -2
y = -2 - 9a
then substitute the result (-2 - 9a) into the second equation:
8a - 8(-2 - 9a) = -2
8a + (-8 x -2) + (-8 x -9a) = -2
8a + 16 + 72a = -2
8a + 72a = -2 - 16
80a = -18
a = \( \frac{-18}{80} \)
a = -\(\frac{9}{40}\)