| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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exponents |
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addition |
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division |
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.)
A coordinate grid is composed of which of the following?
all of these |
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origin |
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y-axis |
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x-axis |
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.
Which of the following expressions contains exactly two terms?
polynomial |
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quadratic |
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monomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope-intercept equation for this line?
| y = -3x + 4 | |
| y = 2x - 4 | |
| y = -x - 1 | |
| y = 1\(\frac{1}{2}\)x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 1
The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 2, and h = 3. What is the area?
| 18 | |
| 7\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) | |
| 22 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 2)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)