| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
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.)
Solve for y:
7y - 5 > \( \frac{y}{6} \)
| y > \(\frac{9}{23}\) | |
| y > -\(\frac{9}{20}\) | |
| y > -\(\frac{28}{57}\) | |
| y > \(\frac{30}{41}\) |
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.
7y - 5 > \( \frac{y}{6} \)
6 x (7y - 5) > y
(6 x 7y) + (6 x -5) > y
42y - 30 > y
42y - 30 - y > 0
42y - y > 30
41y > 30
y > \( \frac{30}{41} \)
y > \(\frac{30}{41}\)
If angle a = 55° and angle b = 44° what is the length of angle c?
| 101° | |
| 124° | |
| 81° | |
| 93° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 55° - 44° = 81°
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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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 - 8y + 15
| (y + 5)(y - 3) | |
| (y - 5)(y + 3) | |
| (y + 5)(y + 3) | |
| (y - 5)(y - 3) |
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 15 as well and sum (Inside, Outside) to equal -8. For this problem, those two numbers are -5 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 8y + 15
y2 + (-5 - 3)y + (-5 x -3)
(y - 5)(y - 3)