| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If a = 9, b = 4, c = 5, and d = 1, what is the perimeter of this quadrilateral?
| 10 | |
| 19 | |
| 15 | |
| 31 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 4 + 5 + 1
p = 19
A coordinate grid is composed of which of the following?
y-axis |
|
origin |
|
x-axis |
|
all of these |
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.
Solve for b:
-9b - 8 < \( \frac{b}{-6} \)
| b < -\(\frac{48}{53}\) | |
| b < 1\(\frac{25}{31}\) | |
| b < -\(\frac{35}{41}\) | |
| b < 1\(\frac{5}{31}\) |
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 < sign and the answer on the other.
-9b - 8 < \( \frac{b}{-6} \)
-6 x (-9b - 8) < b
(-6 x -9b) + (-6 x -8) < b
54b + 48 < b
54b + 48 - b < 0
54b - b < -48
53b < -48
b < \( \frac{-48}{53} \)
b < -\(\frac{48}{53}\)
Solve -8a + 3a = 6a + 6y - 1 for a in terms of y.
| -\(\frac{5}{7}\)y + \(\frac{1}{7}\) | |
| \(\frac{1}{3}\)y + 1 | |
| \(\frac{3}{5}\)y - \(\frac{2}{5}\) | |
| -\(\frac{3}{14}\)y + \(\frac{1}{14}\) |
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.
-8a + 3y = 6a + 6y - 1
-8a = 6a + 6y - 1 - 3y
-8a - 6a = 6y - 1 - 3y
-14a = 3y - 1
a = \( \frac{3y - 1}{-14} \)
a = \( \frac{3y}{-14} \) + \( \frac{-1}{-14} \)
a = -\(\frac{3}{14}\)y + \(\frac{1}{14}\)
Simplify (9a)(2ab) + (7a2)(4b).
| 121a2b | |
| 46ab2 | |
| 46a2b | |
| 10ab2 |
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.
(9a)(2ab) + (7a2)(4b)
(9 x 2)(a x a x b) + (7 x 4)(a2 x b)
(18)(a1+1 x b) + (28)(a2b)
18a2b + 28a2b
46a2b