| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
On this circle, line segment AB is the:
chord |
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diameter |
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circumference |
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radius |
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).
What is 3a7 - 4a7?
| -1a7 | |
| 7a14 | |
| a714 | |
| -1 |
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.
3a7 - 4a7 = -1a7
Simplify (y + 4)(y - 8)
| y2 + 4y - 32 | |
| y2 + 12y + 32 | |
| y2 - 12y + 32 | |
| y2 - 4y - 32 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 4)(y - 8)
(y x y) + (y x -8) + (4 x y) + (4 x -8)
y2 - 8y + 4y - 32
y2 - 4y - 32
Factor y2 + 6y - 16
| (y - 2)(y - 8) | |
| (y - 2)(y + 8) | |
| (y + 2)(y - 8) | |
| (y + 2)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -16 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -2 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 6y - 16
y2 + (-2 + 8)y + (-2 x 8)
(y - 2)(y + 8)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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).