| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Simplify (9a)(4ab) + (8a2)(3b).
| 60a2b | |
| -12ab2 | |
| 143ab2 | |
| 143a2b |
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)(4ab) + (8a2)(3b)
(9 x 4)(a x a x b) + (8 x 3)(a2 x b)
(36)(a1+1 x b) + (24)(a2b)
36a2b + 24a2b
60a2b
Simplify (5a)(6ab) - (6a2)(2b).
| 42ab2 | |
| 88ab2 | |
| 18a2b | |
| 88a2b |
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)(6ab) - (6a2)(2b)
(5 x 6)(a x a x b) - (6 x 2)(a2 x b)
(30)(a1+1 x b) - (12)(a2b)
30a2b - 12a2b
18a2b
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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all interior angles are right angles |
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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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triangle |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If the base of this triangle is 7 and the height is 6, what is the area?
| 52\(\frac{1}{2}\) | |
| 35 | |
| 27\(\frac{1}{2}\) | |
| 21 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 6 = \( \frac{42}{2} \) = 21