| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 8. What is the surface area?
| 100 | |
| 170 | |
| 178 | |
| 46 |
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 1 x 8) + (2 x 8 x 9) + (2 x 1 x 9)
sa = (16) + (144) + (18)
sa = 178
If b = 1 and y = 6, what is the value of 5b(b - y)?
| -100 | |
| 180 | |
| -25 | |
| -72 |
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.)
5b(b - y)
5(1)(1 - 6)
5(1)(-5)
(5)(-5)
-25
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c - a |
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c2 + a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 3a + 5a?
| 8a | |
| -2a2 | |
| -2 | |
| a2 |
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.
3a + 5a = 8a
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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formula |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.