| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π d |
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c = π r |
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c = π r2 |
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.
On this circle, line segment AB is the:
diameter |
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radius |
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chord |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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division |
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addition |
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.)
Find the value of b:
b + x = 7
8b + 9x = -8
| 71 | |
| 2\(\frac{5}{8}\) | |
| \(\frac{20}{23}\) | |
| -\(\frac{26}{27}\) |
You need to find the value of b so solve the first equation in terms of x:
b + x = 7
x = 7 - b
then substitute the result (7 - 1b) into the second equation:
8b + 9(7 - b) = -8
8b + (9 x 7) + (9 x -b) = -8
8b + 63 - 9b = -8
8b - 9b = -8 - 63
-b = -71
b = \( \frac{-71}{-1} \)
b = 71
What is 8a2 + 3a2?
| 11a2 | |
| 5a4 | |
| 11a4 | |
| 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.
8a2 + 3a2 = 11a2