| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
What is 7a6 + 8a6?
| a612 | |
| 15a6 | |
| 56a6 | |
| -a12 |
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.
7a6 + 8a6 = 15a6
Solve for a:
-5a + 2 = \( \frac{a}{3} \)
| -\(\frac{30}{49}\) | |
| \(\frac{3}{8}\) | |
| -1\(\frac{17}{19}\) | |
| \(\frac{18}{49}\) |
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.
-5a + 2 = \( \frac{a}{3} \)
3 x (-5a + 2) = a
(3 x -5a) + (3 x 2) = a
-15a + 6 = a
-15a + 6 - a = 0
-15a - a = -6
-16a = -6
a = \( \frac{-6}{-16} \)
a = \(\frac{3}{8}\)
A quadrilateral is a shape with __________ sides.
4 |
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2 |
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3 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If b = -5 and x = -3, what is the value of -7b(b - x)?
| 90 | |
| -156 | |
| -70 | |
| 30 |
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.)
-7b(b - x)
-7(-5)(-5 + 3)
-7(-5)(-2)
(35)(-2)
-70