| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
Solve for z:
9z + 5 = -6 - 3z
| -1\(\frac{1}{2}\) | |
| -\(\frac{1}{8}\) | |
| -\(\frac{11}{12}\) | |
| -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 equal sign and the answer on the other.
9z + 5 = -6 - 3z
9z = -6 - 3z - 5
9z + 3z = -6 - 5
12z = -11
z = \( \frac{-11}{12} \)
z = -\(\frac{11}{12}\)
If a = 5, b = 1, c = 8, and d = 6, what is the perimeter of this quadrilateral?
| 20 | |
| 21 | |
| 26 | |
| 10 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 1 + 8 + 6
p = 20
Simplify (6a)(4ab) + (5a2)(9b).
| 140ab2 | |
| -21a2b | |
| 69a2b | |
| -21ab2 |
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)(4ab) + (5a2)(9b)
(6 x 4)(a x a x b) + (5 x 9)(a2 x b)
(24)(a1+1 x b) + (45)(a2b)
24a2b + 45a2b
69a2b
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is the area of a circle with a diameter of 4?
| 2π | |
| 4π | |
| 9π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π