| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
Simplify (6a)(2ab) + (9a2)(7b).
| 75ab2 | |
| 128ab2 | |
| 75a2b | |
| -51a2b |
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)(2ab) + (9a2)(7b)
(6 x 2)(a x a x b) + (9 x 7)(a2 x b)
(12)(a1+1 x b) + (63)(a2b)
12a2b + 63a2b
75a2b
What is 3a + 4a?
| 7a | |
| 7a2 | |
| a2 | |
| -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.
3a + 4a = 7a
Which of the following expressions contains exactly two terms?
binomial |
|
monomial |
|
quadratic |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
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.
Simplify 9a x 7b.
| 63\( \frac{a}{b} \) | |
| 63ab | |
| 63a2b2 | |
| 63\( \frac{b}{a} \) |
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.
9a x 7b = (9 x 7) (a x b) = 63ab