| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?
| 243π | |
| 729π | |
| 9π | |
| 125π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 9)
v = 9π
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
x-intercept |
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\({\Delta y \over \Delta x}\) |
|
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.
If a = -1 and z = -4, what is the value of -7a(a - z)?
| 36 | |
| -60 | |
| 21 | |
| 49 |
To solve this equation, 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.)
-7a(a - z)
-7(-1)(-1 + 4)
-7(-1)(3)
(7)(3)
21
If the base of this triangle is 2 and the height is 7, what is the area?
| 40 | |
| 7 | |
| 42 | |
| 55 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 7 = \( \frac{14}{2} \) = 7
Which of the following statements about math operations is incorrect?
all of these statements are correct |
|
you can subtract monomials that have the same variable and the same exponent |
|
you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.