| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
y-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
What is 6a + 4a?
| 24a | |
| 24a2 | |
| 10a | |
| 2a2 |
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.
6a + 4a = 10a
If angle a = 22° and angle b = 26° what is the length of angle d?
| 111° | |
| 158° | |
| 140° | |
| 144° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 26° = 132°
So, d° = 26° + 132° = 158°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 22° = 158°
Solve 5c + 8c = -5c + z - 4 for c in terms of z.
| \(\frac{1}{3}\)z - 3 | |
| -1\(\frac{2}{3}\)z + 1\(\frac{2}{3}\) | |
| \(\frac{7}{8}\)z - \(\frac{5}{8}\) | |
| -\(\frac{7}{10}\)z - \(\frac{2}{5}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
5c + 8z = -5c + z - 4
5c = -5c + z - 4 - 8z
5c + 5c = z - 4 - 8z
10c = -7z - 4
c = \( \frac{-7z - 4}{10} \)
c = \( \frac{-7z}{10} \) + \( \frac{-4}{10} \)
c = -\(\frac{7}{10}\)z - \(\frac{2}{5}\)