| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
If a = c = 7, b = d = 3, what is the area of this rectangle?
| 10 | |
| 40 | |
| 21 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 3
a = 21
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is 7a - 6a?
| 13 | |
| 1a | |
| 1 | |
| 13a2 |
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.
7a - 6a = 1a
If angle a = 41° and angle b = 34° what is the length of angle d?
| 131° | |
| 133° | |
| 139° | |
| 145° |
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° - 41° - 34° = 105°
So, d° = 34° + 105° = 139°
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° - 41° = 139°
Solve for b:
-4b + 9 < 8 + 3b
| b < -\(\frac{7}{8}\) | |
| b < -\(\frac{1}{2}\) | |
| b < \(\frac{1}{7}\) | |
| b < -8 |
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.
-4b + 9 < 8 + 3b
-4b < 8 + 3b - 9
-4b - 3b < 8 - 9
-7b < -1
b < \( \frac{-1}{-7} \)
b < \(\frac{1}{7}\)