| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Simplify (5a)(5ab) + (4a2)(8b).
| 7a2b | |
| 57a2b | |
| 120a2b | |
| -7ab2 |
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.
(5a)(5ab) + (4a2)(8b)
(5 x 5)(a x a x b) + (4 x 8)(a2 x b)
(25)(a1+1 x b) + (32)(a2b)
25a2b + 32a2b
57a2b
If a = 1, b = 6, c = 3, and d = 6, what is the perimeter of this quadrilateral?
| 21 | |
| 12 | |
| 16 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 6 + 3 + 6
p = 16
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
|
area = ½bh |
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perimeter = sum of side lengths |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Simplify (y + 2)(y - 9)
| y2 - 7y - 18 | |
| y2 + 7y - 18 | |
| y2 - 11y + 18 | |
| y2 + 11y + 18 |
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 + 2)(y - 9)
(y x y) + (y x -9) + (2 x y) + (2 x -9)
y2 - 9y + 2y - 18
y2 - 7y - 18
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 |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
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.