| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Solve for z:
z2 - 7z + 6 = 0
| 5 or -5 | |
| 9 or -6 | |
| 7 or 6 | |
| 1 or 6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 7z + 6 = 0
(z - 1)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 6) must equal zero:
If (z - 1) = 0, z must equal 1
If (z - 6) = 0, z must equal 6
So the solution is that z = 1 or 6
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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intersects |
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trisects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
A coordinate grid is composed of which of the following?
y-axis |
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origin |
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all of these |
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x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
On this circle, a line segment connecting point A to point D is called:
radius |
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circumference |
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diameter |
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chord |
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).