| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 1. What is the surface area?
| 234 | |
| 142 | |
| 202 | |
| 198 |
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 7 x 1) + (2 x 1 x 8) + (2 x 7 x 8)
sa = (14) + (16) + (112)
sa = 142
Solve for b:
6b - 3 < -5 - b
| b < \(\frac{5}{7}\) | |
| b < -\(\frac{5}{7}\) | |
| b < -\(\frac{2}{7}\) | |
| b < 1\(\frac{1}{6}\) |
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 - 3 < -5 - b
6b < -5 - b + 3
6b + b < -5 + 3
7b < -2
b < \( \frac{-2}{7} \)
b < -\(\frac{2}{7}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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pairs |
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division |
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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.)
What is 8a9 + 8a9?
| a918 | |
| 16a18 | |
| 16a9 | |
| 64a18 |
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.
8a9 + 8a9 = 16a9