| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
Solve for b:
6b + 4 > \( \frac{b}{-1} \)
| b > -\(\frac{4}{7}\) | |
| b > 1\(\frac{1}{14}\) | |
| b > -1\(\frac{1}{4}\) | |
| b > 1\(\frac{1}{39}\) |
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.
6b + 4 > \( \frac{b}{-1} \)
-1 x (6b + 4) > b
(-1 x 6b) + (-1 x 4) > b
-6b - 4 > b
-6b - 4 - b > 0
-6b - b > 4
-7b > 4
b > \( \frac{4}{-7} \)
b > -\(\frac{4}{7}\)
The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 9. What is the surface area?
| 92 | |
| 16 | |
| 126 | |
| 246 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 8) + (2 x 3 x 8)
sa = (54) + (144) + (48)
sa = 246
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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exponents |
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addition |
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division |
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.)
Simplify (5a)(9ab) + (3a2)(8b).
| 154ab2 | |
| 154a2b | |
| 69a2b | |
| -21a2b |
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)(9ab) + (3a2)(8b)
(5 x 9)(a x a x b) + (3 x 8)(a2 x b)
(45)(a1+1 x b) + (24)(a2b)
45a2b + 24a2b
69a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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quadrilateral |
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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.