| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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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 b:
-6b + 5 = \( \frac{b}{9} \)
| \(\frac{9}{11}\) | |
| \(\frac{36}{53}\) | |
| \(\frac{5}{9}\) | |
| \(\frac{21}{29}\) |
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 equal sign and the answer on the other.
-6b + 5 = \( \frac{b}{9} \)
9 x (-6b + 5) = b
(9 x -6b) + (9 x 5) = b
-54b + 45 = b
-54b + 45 - b = 0
-54b - b = -45
-55b = -45
b = \( \frac{-45}{-55} \)
b = \(\frac{9}{11}\)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this trapezoid are a = 4, b = 7, c = 6, d = 2, and h = 2. What is the area?
| 20 | |
| 19\(\frac{1}{2}\) | |
| 18 | |
| 9 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 2)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9
Solve for x:
x2 + 11x + 28 = 0
| 5 or -3 | |
| -9 or -9 | |
| -4 or -7 | |
| 6 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 11x + 28 = 0
(x + 4)(x + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 4) or (x + 7) must equal zero:
If (x + 4) = 0, x must equal -4
If (x + 7) = 0, x must equal -7
So the solution is that x = -4 or -7