| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
What is 6a8 + 9a8?
| -3 | |
| 15a8 | |
| a816 | |
| 15 |
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.
6a8 + 9a8 = 15a8
On this circle, a line segment connecting point A to point D is called:
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 (8a)(8ab) + (2a2)(4b).
| 72a2b | |
| -56a2b | |
| 56a2b | |
| 72ab2 |
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)(8ab) + (2a2)(4b)
(8 x 8)(a x a x b) + (2 x 4)(a2 x b)
(64)(a1+1 x b) + (8)(a2b)
64a2b + 8a2b
72a2b
Solve 4a - a = -a + 2z + 2 for a in terms of z.
| \(\frac{1}{7}\)z + 1\(\frac{2}{7}\) | |
| \(\frac{3}{5}\)z + \(\frac{2}{5}\) | |
| \(\frac{8}{15}\)z + \(\frac{2}{5}\) | |
| -5z - 2 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a - z = -a + 2z + 2
4a = -a + 2z + 2 + z
4a + a = 2z + 2 + z
5a = 3z + 2
a = \( \frac{3z + 2}{5} \)
a = \( \frac{3z}{5} \) + \( \frac{2}{5} \)
a = \(\frac{3}{5}\)z + \(\frac{2}{5}\)
If a = 6, b = 1, c = 4, and d = 9, what is the perimeter of this quadrilateral?
| 23 | |
| 21 | |
| 20 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 1 + 4 + 9
p = 20