| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 9. What is the surface area?
| 382 | |
| 78 | |
| 258 | |
| 126 |
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 3) + (2 x 3 x 3)
sa = (54) + (54) + (18)
sa = 126
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
If b = -9 and y = 5, what is the value of 2b(b - y)?
| 918 | |
| 12 | |
| -96 | |
| 252 |
To solve this equation, 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.)
2b(b - y)
2(-9)(-9 - 5)
2(-9)(-14)
(-18)(-14)
252
Solve for c:
6c - 5 = \( \frac{c}{4} \)
| -\(\frac{18}{19}\) | |
| \(\frac{20}{23}\) | |
| 2\(\frac{2}{35}\) | |
| -3\(\frac{15}{19}\) |
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 equal sign and the answer on the other.
6c - 5 = \( \frac{c}{4} \)
4 x (6c - 5) = c
(4 x 6c) + (4 x -5) = c
24c - 20 = c
24c - 20 - c = 0
24c - c = 20
23c = 20
c = \( \frac{20}{23} \)
c = \(\frac{20}{23}\)
What is 7a3 + 7a3?
| 14a6 | |
| 14 | |
| 14a3 | |
| 49a6 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a3 + 7a3 = 14a3