| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Simplify 7a x 2b.
| 9ab | |
| 14ab | |
| 14\( \frac{b}{a} \) | |
| 14\( \frac{a}{b} \) |
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.
7a x 2b = (7 x 2) (a x b) = 14ab
Solve for a:
9a + 8 = \( \frac{a}{2} \)
| \(\frac{7}{9}\) | |
| \(\frac{4}{5}\) | |
| 1\(\frac{5}{31}\) | |
| -\(\frac{16}{17}\) |
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.
9a + 8 = \( \frac{a}{2} \)
2 x (9a + 8) = a
(2 x 9a) + (2 x 8) = a
18a + 16 = a
18a + 16 - a = 0
18a - a = -16
17a = -16
a = \( \frac{-16}{17} \)
a = -\(\frac{16}{17}\)
Simplify (2a)(3ab) - (6a2)(4b).
| -18a2b | |
| 30a2b | |
| 30ab2 | |
| 50ab2 |
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.
(2a)(3ab) - (6a2)(4b)
(2 x 3)(a x a x b) - (6 x 4)(a2 x b)
(6)(a1+1 x b) - (24)(a2b)
6a2b - 24a2b
-18a2b
If a = c = 1, b = d = 9, what is the area of this rectangle?
| 7 | |
| 6 | |
| 9 | |
| 40 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9
Solve -3a + 3a = 9a + 2y + 8 for a in terms of y.
| y - 1\(\frac{1}{4}\) | |
| -\(\frac{1}{4}\)y - 1\(\frac{1}{2}\) | |
| \(\frac{1}{12}\)y - \(\frac{2}{3}\) | |
| -1\(\frac{1}{5}\)y + \(\frac{4}{5}\) |
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.
-3a + 3y = 9a + 2y + 8
-3a = 9a + 2y + 8 - 3y
-3a - 9a = 2y + 8 - 3y
-12a = -y + 8
a = \( \frac{-y + 8}{-12} \)
a = \( \frac{-y}{-12} \) + \( \frac{8}{-12} \)
a = \(\frac{1}{12}\)y - \(\frac{2}{3}\)