| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
On this circle, line segment CD is the:
circumference |
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radius |
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chord |
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diameter |
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 expressions contains exactly two terms?
polynomial |
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quadratic |
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binomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 2a + 7a?
| -5 | |
| 14a | |
| 9a2 | |
| 9a |
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.
2a + 7a = 9a
Solve for y:
y2 - 21y + 71 = -4y - 1
| 3 or -4 | |
| -2 or -4 | |
| 9 or 7 | |
| 8 or 9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 - 21y + 71 = -4y - 1
y2 - 21y + 71 + 1 = -4y
y2 - 21y + 4y + 72 = 0
y2 - 17y + 72 = 0
Next, factor the quadratic equation:
y2 - 17y + 72 = 0
(y - 8)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 8) or (y - 9) must equal zero:
If (y - 8) = 0, y must equal 8
If (y - 9) = 0, y must equal 9
So the solution is that y = 8 or 9
What is 2a2 - 5a2?
| 10a2 | |
| -3a2 | |
| a24 | |
| 7a4 |
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.
2a2 - 5a2 = -3a2