| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Solve for x:
x2 + 6x + 9 = 0
| 5 or -9 | |
| -3 | |
| 6 or 5 | |
| 9 or -1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 6x + 9 = 0
(x + 3)(x + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (x + 3) must equal zero:
If (x + 3) = 0, x must equal -3
So the solution is that x = -3
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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factoring |
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deconstructing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the volume?
| 50π | |
| 20π | |
| 196π | |
| 729π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 4)
v = 196π
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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pairs |
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addition |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)