| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Simplify (y + 6)(y + 2)
| y2 + 8y + 12 | |
| y2 - 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 4y - 12 |
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 + 6)(y + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y2 + 2y + 6y + 12
y2 + 8y + 12
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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y-intercept |
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x-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.
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, acute, obtuse |
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acute, right, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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lw x wh + lh |
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h x l x w |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for a:
a2 + 2a - 23 = 5a + 5
| 2 or 2 | |
| -4 or 7 | |
| -2 or -4 | |
| 3 or -8 |
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 + 2a - 23 = 5a + 5
a2 + 2a - 23 - 5 = 5a
a2 + 2a - 5a - 28 = 0
a2 - 3a - 28 = 0
Next, factor the quadratic equation:
a2 - 3a - 28 = 0
(a + 4)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a - 7) must equal zero:
If (a + 4) = 0, a must equal -4
If (a - 7) = 0, a must equal 7
So the solution is that a = -4 or 7