| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
division |
|
exponents |
|
pairs |
When solving an equation with two variables, 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.)
A right angle measures:
180° |
|
360° |
|
90° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 2. What is the surface area?
| 60π | |
| 64π | |
| 20π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 2)
sa = 2π(4) + 2π(4)
sa = (2 x 4)π + (2 x 4)π
sa = 8π + 8π
sa = 16π
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
opposite sides and adjacent angles are equal |
|
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
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).
Solve for b:
-7b + 9 = \( \frac{b}{-8} \)
| 2\(\frac{6}{7}\) | |
| 1\(\frac{4}{5}\) | |
| -12 | |
| 1\(\frac{17}{55}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-7b + 9 = \( \frac{b}{-8} \)
-8 x (-7b + 9) = b
(-8 x -7b) + (-8 x 9) = b
56b - 72 = b
56b - 72 - b = 0
56b - b = 72
55b = 72
b = \( \frac{72}{55} \)
b = 1\(\frac{17}{55}\)