| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
Solve -2c - 2c = 4c + x - 8 for c in terms of x.
| 3x + \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\)x + 1\(\frac{1}{3}\) | |
| -\(\frac{1}{7}\)x - 1 | |
| x - 1\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-2c - 2x = 4c + x - 8
-2c = 4c + x - 8 + 2x
-2c - 4c = x - 8 + 2x
-6c = 3x - 8
c = \( \frac{3x - 8}{-6} \)
c = \( \frac{3x}{-6} \) + \( \frac{-8}{-6} \)
c = -\(\frac{1}{2}\)x + 1\(\frac{1}{3}\)
If a = 8 and y = 1, what is the value of -6a(a - y)?
| -336 | |
| -60 | |
| -24 | |
| -70 |
To solve this equation, 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.)
-6a(a - y)
-6(8)(8 - 1)
-6(8)(7)
(-48)(7)
-336
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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equation |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Solve for b:
-7b + 6 = \( \frac{b}{8} \)
| \(\frac{7}{50}\) | |
| \(\frac{16}{19}\) | |
| -\(\frac{20}{33}\) | |
| 1\(\frac{25}{47}\) |
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.
-7b + 6 = \( \frac{b}{8} \)
8 x (-7b + 6) = b
(8 x -7b) + (8 x 6) = b
-56b + 48 = b
-56b + 48 - b = 0
-56b - b = -48
-57b = -48
b = \( \frac{-48}{-57} \)
b = \(\frac{16}{19}\)
The dimensions of this trapezoid are a = 5, b = 7, c = 8, d = 8, and h = 3. What is the area?
| 13\(\frac{1}{2}\) | |
| 24 | |
| 14 | |
| 22\(\frac{1}{2}\) |
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 + 8)(3)
a = ½(15)(3)
a = ½(45) = \( \frac{45}{2} \)
a = 22\(\frac{1}{2}\)