| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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h x l x w |
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2lw x 2wh + 2lh |
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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.
Simplify (7a)(5ab) - (8a2)(5b).
| 75a2b | |
| -5a2b | |
| 156a2b | |
| 156ab2 |
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.
(7a)(5ab) - (8a2)(5b)
(7 x 5)(a x a x b) - (8 x 5)(a2 x b)
(35)(a1+1 x b) - (40)(a2b)
35a2b - 40a2b
-5a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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addition |
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pairs |
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exponents |
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.)
Solve for c:
-4c - 3 > \( \frac{c}{8} \)
| c > \(\frac{4}{5}\) | |
| c > 1\(\frac{1}{5}\) | |
| c > \(\frac{7}{10}\) | |
| c > -\(\frac{8}{11}\) |
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 > sign and the answer on the other.
-4c - 3 > \( \frac{c}{8} \)
8 x (-4c - 3) > c
(8 x -4c) + (8 x -3) > c
-32c - 24 > c
-32c - 24 - c > 0
-32c - c > 24
-33c > 24
c > \( \frac{24}{-33} \)
c > -\(\frac{8}{11}\)
If the base of this triangle is 4 and the height is 4, what is the area?
| 84\(\frac{1}{2}\) | |
| 58\(\frac{1}{2}\) | |
| 8 | |
| 49\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 4 = \( \frac{16}{2} \) = 8