| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Simplify (y + 3)(y + 8)
| y2 - 5y - 24 | |
| y2 + 11y + 24 | |
| y2 + 5y - 24 | |
| y2 - 11y + 24 |
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 + 3)(y + 8)
(y x y) + (y x 8) + (3 x y) + (3 x 8)
y2 + 8y + 3y + 24
y2 + 11y + 24
A right angle measures:
180° |
|
360° |
|
45° |
|
90° |
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 formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
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.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
the perimeter is the sum of the lengths of all four sides |
|
all interior angles are right angles |
|
the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Simplify (9a)(2ab) - (9a2)(7b).
| 176a2b | |
| 176ab2 | |
| -45a2b | |
| 81a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(2ab) - (9a2)(7b)
(9 x 2)(a x a x b) - (9 x 7)(a2 x b)
(18)(a1+1 x b) - (63)(a2b)
18a2b - 63a2b
-45a2b