| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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division |
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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.)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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triangle |
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trapezoid |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Factor y2 + 3y - 40
| (y + 5)(y + 8) | |
| (y - 5)(y + 8) | |
| (y + 5)(y - 8) | |
| (y - 5)(y - 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -40 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -5 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 40
y2 + (-5 + 8)y + (-5 x 8)
(y - 5)(y + 8)
Simplify (y - 6)(y - 3)
| y2 - 9y + 18 | |
| y2 - 3y - 18 | |
| y2 + 3y - 18 | |
| y2 + 9y + 18 |
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 - 3)
(y x y) + (y x -3) + (-6 x y) + (-6 x -3)
y2 - 3y - 6y + 18
y2 - 9y + 18