| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is 7a5 + 6a5?
| 42a10 | |
| 13a5 | |
| 13 | |
| a10 |
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.
7a5 + 6a5 = 13a5
If side a = 8, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 42
c2 = 64 + 16
c2 = 80
c = \( \sqrt{80} \)
If a = 9, b = 9, c = 4, and d = 4, what is the perimeter of this quadrilateral?
| 15 | |
| 14 | |
| 26 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 9 + 4 + 4
p = 26
If b = 9 and y = -6, what is the value of 3b(b - y)?
| 0 | |
| -160 | |
| 360 | |
| 405 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
3b(b - y)
3(9)(9 + 6)
3(9)(15)
(27)(15)
405
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = π d2 |
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.