| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
What is 7a - 3a?
| a2 | |
| 10 | |
| 4 | |
| 4a |
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 - 3a = 4a
If a = 8, b = 3, c = 8, and d = 5, what is the perimeter of this quadrilateral?
| 24 | |
| 17 | |
| 19 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 3 + 8 + 5
p = 24
On this circle, line segment AB is the:
chord |
|
radius |
|
circumference |
|
diameter |
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).
If side a = 1, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{5} \) | |
| \( \sqrt{2} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 82
c2 = 1 + 64
c2 = 65
c = \( \sqrt{65} \)
If the base of this triangle is 5 and the height is 8, what is the area?
| 20 | |
| 27\(\frac{1}{2}\) | |
| 30 | |
| 27 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 8 = \( \frac{40}{2} \) = 20