| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Solve -7c + 5c = 3c - 7y + 8 for c in terms of y.
| -3\(\frac{2}{3}\)y + 1\(\frac{1}{3}\) | |
| 2y + 1 | |
| 1\(\frac{1}{5}\)y - \(\frac{4}{5}\) | |
| \(\frac{2}{3}\)y + \(\frac{2}{5}\) |
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.
-7c + 5y = 3c - 7y + 8
-7c = 3c - 7y + 8 - 5y
-7c - 3c = -7y + 8 - 5y
-10c = -12y + 8
c = \( \frac{-12y + 8}{-10} \)
c = \( \frac{-12y}{-10} \) + \( \frac{8}{-10} \)
c = 1\(\frac{1}{5}\)y - \(\frac{4}{5}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for c:
4c - 7 > -5 + 6c
| c > -1 | |
| c > -\(\frac{3}{4}\) | |
| c > \(\frac{3}{4}\) | |
| c > 4 |
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.
4c - 7 > -5 + 6c
4c > -5 + 6c + 7
4c - 6c > -5 + 7
-2c > 2
c > \( \frac{2}{-2} \)
c > -1
Simplify 6a x 5b.
| 30\( \frac{b}{a} \) | |
| 30ab | |
| 30\( \frac{a}{b} \) | |
| 30a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
6a x 5b = (6 x 5) (a x b) = 30ab
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
|
Last |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.