| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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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 coordinate grid is composed of which of the following?
x-axis |
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y-axis |
|
origin |
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all of these |
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.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?
| 140π | |
| 196π | |
| 120π | |
| 72π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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addition |
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division |
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pairs |
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.)
Solve for c:
-6c - 8 > 8 - 2c
| c > -4 | |
| c > -\(\frac{1}{2}\) | |
| c > -\(\frac{2}{3}\) | |
| c > -1\(\frac{3}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-6c - 8 > 8 - 2c
-6c > 8 - 2c + 8
-6c + 2c > 8 + 8
-4c > 16
c > \( \frac{16}{-4} \)
c > -4