| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Solve 6a + 7a = 2a + 2y - 3 for a in terms of y.
| -7y - 1 | |
| y + 2\(\frac{1}{3}\) | |
| y - \(\frac{1}{2}\) | |
| -1\(\frac{1}{4}\)y - \(\frac{3}{4}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
6a + 7y = 2a + 2y - 3
6a = 2a + 2y - 3 - 7y
6a - 2a = 2y - 3 - 7y
4a = -5y - 3
a = \( \frac{-5y - 3}{4} \)
a = \( \frac{-5y}{4} \) + \( \frac{-3}{4} \)
a = -1\(\frac{1}{4}\)y - \(\frac{3}{4}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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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.)
If the base of this triangle is 4 and the height is 8, what is the area?
| 27 | |
| 30 | |
| 37\(\frac{1}{2}\) | |
| 16 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 8 = \( \frac{32}{2} \) = 16
What is 2a - 3a?
| 6a2 | |
| a2 | |
| -1a | |
| -1 |
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.
2a - 3a = -1a
The endpoints of this line segment are at (-2, -1) and (2, 3). What is the slope of this line?
| -2 | |
| 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, -1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)