| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
What is 7a + 3a?
| 21a | |
| 4a2 | |
| 10a | |
| 10 |
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.
7a + 3a = 10a
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 2. What is the volume?
| 2 | |
| 25 | |
| 36 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 9 x 2
v = 36
Which of the following expressions contains exactly two terms?
monomial |
|
polynomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Simplify (3a)(3ab) + (7a2)(8b).
| 90ab2 | |
| 65a2b | |
| 47a2b | |
| -47a2b |
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.
(3a)(3ab) + (7a2)(8b)
(3 x 3)(a x a x b) + (7 x 8)(a2 x b)
(9)(a1+1 x b) + (56)(a2b)
9a2b + 56a2b
65a2b
The dimensions of this cylinder are height (h) = 9 and radius (r) = 2. What is the surface area?
| 44π | |
| 110π | |
| 64π | |
| 42π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 9)
sa = 2π(4) + 2π(18)
sa = (2 x 4)π + (2 x 18)π
sa = 8π + 36π
sa = 44π