| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
What is 9a3 + 5a3?
| 45a3 | |
| 4a6 | |
| 14a6 | |
| 14a3 |
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.
9a3 + 5a3 = 14a3
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If angle a = 55° and angle b = 64° what is the length of angle d?
| 125° | |
| 146° | |
| 111° | |
| 160° |
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° - 55° - 64° = 61°
So, d° = 64° + 61° = 125°
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° - 55° = 125°
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
|
c = π d |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 27 | |
| 10 | |
| 18 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21