| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If a = -8 and z = 8, what is the value of 9a(a - z)?
| -112 | |
| 144 | |
| 84 | |
| 1152 |
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.)
9a(a - z)
9(-8)(-8 - 8)
9(-8)(-16)
(-72)(-16)
1152
The dimensions of this cylinder are height (h) = 2 and radius (r) = 5. What is the volume?
| 50π | |
| 12π | |
| 98π | |
| 252π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 2)
v = 50π
What is 3a + 2a?
| 5a2 | |
| 5a | |
| 1 | |
| 6a |
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.
3a + 2a = 5a
If side a = 1, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{2} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{20} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 12
c2 = 1 + 1
c2 = 2
c = \( \sqrt{2} \)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
a parallelogram is a quadrilateral |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).