| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
If c = -2 and z = -6, what is the value of 2c(c - z)?
| -280 | |
| 96 | |
| -16 | |
| -42 |
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.)
2c(c - z)
2(-2)(-2 + 6)
2(-2)(4)
(-4)(4)
-16
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d2 |
|
a = π d |
|
a = 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.
What is 9a5 - 2a5?
| 7a5 | |
| 11 | |
| a510 | |
| 7a10 |
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.
9a5 - 2a5 = 7a5
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 2. What is the surface area?
| 102 | |
| 208 | |
| 52 | |
| 110 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 2) + (2 x 2 x 9) + (2 x 3 x 9)
sa = (12) + (36) + (54)
sa = 102
If side a = 1, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{61} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 42
c2 = 1 + 16
c2 = 17
c = \( \sqrt{17} \)