| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Solve for a:
a2 - 3a - 33 = 2a + 3
| -3 or -9 | |
| -4 or -9 | |
| 1 or -7 | |
| -4 or 9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 3a - 33 = 2a + 3
a2 - 3a - 33 - 3 = 2a
a2 - 3a - 2a - 36 = 0
a2 - 5a - 36 = 0
Next, factor the quadratic equation:
a2 - 5a - 36 = 0
(a + 4)(a - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a - 9) must equal zero:
If (a + 4) = 0, a must equal -4
If (a - 9) = 0, a must equal 9
So the solution is that a = -4 or 9
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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division |
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exponents |
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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 trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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parallel |
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right angle |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for x:
-5x - 5 < 1 + 6x
| x < 1 | |
| x < -\(\frac{6}{11}\) | |
| x < -\(\frac{5}{9}\) | |
| x < 1\(\frac{2}{3}\) |
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.
-5x - 5 < 1 + 6x
-5x < 1 + 6x + 5
-5x - 6x < 1 + 5
-11x < 6
x < \( \frac{6}{-11} \)
x < -\(\frac{6}{11}\)
If AD = 27 and BD = 21, AB = ?
| 17 | |
| 6 | |
| 19 | |
| 18 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD