| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
A coordinate grid is composed of which of the following?
y-axis |
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all of these |
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origin |
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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.
Solve for b:
b2 - 12b + 35 = 0
| 7 or 7 | |
| 9 or 2 | |
| 5 or 7 | |
| 1 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 12b + 35 = 0
(b - 5)(b - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b - 7) must equal zero:
If (b - 5) = 0, b must equal 5
If (b - 7) = 0, b must equal 7
So the solution is that b = 5 or 7
Solve for a:
a2 - 10a - 4 = -5a + 2
| -1 or 6 | |
| 4 or 3 | |
| 8 or -5 | |
| 9 or -6 |
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:
a2 - 10a - 4 = -5a + 2
a2 - 10a - 4 - 2 = -5a
a2 - 10a + 5a - 6 = 0
a2 - 5a - 6 = 0
Next, factor the quadratic equation:
a2 - 5a - 6 = 0
(a + 1)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 6) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 6) = 0, a must equal 6
So the solution is that a = -1 or 6
On this circle, line segment CD is the:
diameter |
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radius |
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circumference |
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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).
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).