| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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addition |
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pairs |
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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.)
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for x:
x2 - 16x + 63 = 0
| 6 or 3 | |
| -2 or -3 | |
| 7 or 9 | |
| 2 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 16x + 63 = 0
(x - 7)(x - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 7) or (x - 9) must equal zero:
If (x - 7) = 0, x must equal 7
If (x - 9) = 0, x must equal 9
So the solution is that x = 7 or 9
Simplify 7a x 8b.
| 56\( \frac{a}{b} \) | |
| 56\( \frac{b}{a} \) | |
| 56ab | |
| 15ab |
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.
7a x 8b = (7 x 8) (a x b) = 56ab
Solve for a:
7a + 1 < 6 - 5a
| a < -\(\frac{2}{3}\) | |
| a < 1 | |
| a < -\(\frac{1}{2}\) | |
| a < \(\frac{5}{12}\) |
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.
7a + 1 < 6 - 5a
7a < 6 - 5a - 1
7a + 5a < 6 - 1
12a < 5
a < \( \frac{5}{12} \)
a < \(\frac{5}{12}\)