| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If side x = 5cm, side y = 10cm, and side z = 8cm what is the perimeter of this triangle?
| 30cm | |
| 34cm | |
| 33cm | |
| 23cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 10cm + 8cm = 23cm
Simplify (6a)(9ab) + (9a2)(4b).
| 195a2b | |
| 90ab2 | |
| 90a2b | |
| -18ab2 |
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)(9ab) + (9a2)(4b)
(6 x 9)(a x a x b) + (9 x 4)(a2 x b)
(54)(a1+1 x b) + (36)(a2b)
54a2b + 36a2b
90a2b
Solve for y:
-9y - 9 = \( \frac{y}{-3} \)
| 1\(\frac{1}{34}\) | |
| 1\(\frac{29}{34}\) | |
| -1\(\frac{1}{26}\) | |
| -2\(\frac{2}{35}\) |
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.
-9y - 9 = \( \frac{y}{-3} \)
-3 x (-9y - 9) = y
(-3 x -9y) + (-3 x -9) = y
27y + 27 = y
27y + 27 - y = 0
27y - y = -27
26y = -27
y = \( \frac{-27}{26} \)
y = -1\(\frac{1}{26}\)
Simplify 2a x 2b.
| 4ab | |
| 4\( \frac{b}{a} \) | |
| 4\( \frac{a}{b} \) | |
| 4a2b2 |
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 x 2b = (2 x 2) (a x b) = 4ab