| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Solve for c:
-8c - 2 = \( \frac{c}{7} \)
| -\(\frac{14}{57}\) | |
| -\(\frac{24}{35}\) | |
| 1\(\frac{23}{31}\) | |
| -1\(\frac{7}{65}\) |
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.
-8c - 2 = \( \frac{c}{7} \)
7 x (-8c - 2) = c
(7 x -8c) + (7 x -2) = c
-56c - 14 = c
-56c - 14 - c = 0
-56c - c = 14
-57c = 14
c = \( \frac{14}{-57} \)
c = -\(\frac{14}{57}\)
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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division |
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pairs |
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 y:
-2y - 3 = -1 + 9y
| 1 | |
| -1\(\frac{1}{2}\) | |
| -\(\frac{2}{11}\) | |
| \(\frac{2}{3}\) |
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 equal sign and the answer on the other.
-2y - 3 = -1 + 9y
-2y = -1 + 9y + 3
-2y - 9y = -1 + 3
-11y = 2
y = \( \frac{2}{-11} \)
y = -\(\frac{2}{11}\)
What is 8a - 8a?
| 16 | |
| 0a | |
| a2 | |
| 16a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a - 8a = 0a
The endpoints of this line segment are at (-2, 0) and (2, 2). What is the slope of this line?
| -3 | |
| -1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 1 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (0.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)