| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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slope |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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right angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Last |
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Inside |
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.
A right angle measures:
45° |
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360° |
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180° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for a:
a2 - 3a - 31 = -a + 4
| -5 or -8 | |
| 4 or -1 | |
| 6 or -4 | |
| -5 or 7 |
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 - 3a - 31 = -a + 4
a2 - 3a - 31 - 4 = -a
a2 - 3a + a - 35 = 0
a2 - 2a - 35 = 0
Next, factor the quadratic equation:
a2 - 2a - 35 = 0
(a + 5)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 5) or (a - 7) must equal zero:
If (a + 5) = 0, a must equal -5
If (a - 7) = 0, a must equal 7
So the solution is that a = -5 or 7