| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
The formula for the area of a circle is which of the following?
c = π r |
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c = π r2 |
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c = π d |
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c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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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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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).
What is 2a4 - 3a4?
| a48 | |
| -1a4 | |
| 6a8 | |
| 5 |
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.
2a4 - 3a4 = -1a4
Solve 3b - 9b = -5b - 3z + 6 for b in terms of z.
| z + 1\(\frac{1}{6}\) | |
| 5z - 8 | |
| \(\frac{3}{4}\)z + \(\frac{3}{4}\) | |
| -\(\frac{11}{12}\)z + \(\frac{1}{6}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
3b - 9z = -5b - 3z + 6
3b = -5b - 3z + 6 + 9z
3b + 5b = -3z + 6 + 9z
8b = 6z + 6
b = \( \frac{6z + 6}{8} \)
b = \( \frac{6z}{8} \) + \( \frac{6}{8} \)
b = \(\frac{3}{4}\)z + \(\frac{3}{4}\)
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.)