| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If a = 6, b = 9, c = 3, and d = 7, what is the perimeter of this quadrilateral?
| 25 | |
| 26 | |
| 23 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 9 + 3 + 7
p = 25
Simplify (y + 4)(y + 3)
| y2 + 7y + 12 | |
| y2 - y - 12 | |
| y2 - 7y + 12 | |
| y2 + y - 12 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 4)(y + 3)
(y x y) + (y x 3) + (4 x y) + (4 x 3)
y2 + 3y + 4y + 12
y2 + 7y + 12
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If b = -2 and y = 2, what is the value of 6b(b - y)?
| 48 | |
| -64 | |
| 200 | |
| -72 |
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.)
6b(b - y)
6(-2)(-2 - 2)
6(-2)(-4)
(-12)(-4)
48