| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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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.)
Find the value of a:
6a + x = 6
-5a + 6x = -5
| 1 | |
| -\(\frac{1}{8}\) | |
| 1\(\frac{15}{31}\) | |
| -1\(\frac{7}{46}\) |
You need to find the value of a so solve the first equation in terms of x:
6a + x = 6
x = 6 - 6a
then substitute the result (6 - 6a) into the second equation:
-5a + 6(6 - 6a) = -5
-5a + (6 x 6) + (6 x -6a) = -5
-5a + 36 - 36a = -5
-5a - 36a = -5 - 36
-41a = -41
a = \( \frac{-41}{-41} \)
a = 1
If side a = 7, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| \( \sqrt{8} \) | |
| \( \sqrt{73} \) | |
| 5 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 62
c2 = 49 + 36
c2 = 85
c = \( \sqrt{85} \)
Simplify 4a x 2b.
| 8ab | |
| 6ab | |
| 8\( \frac{a}{b} \) | |
| 8a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
4a x 2b = (4 x 2) (a x b) = 8ab
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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triangle |
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quadrilateral |
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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.