| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Solve for z:
8z - 3 = -4 + 2z
| -1\(\frac{4}{5}\) | |
| -\(\frac{1}{6}\) | |
| -\(\frac{2}{7}\) | |
| \(\frac{3}{4}\) |
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.
8z - 3 = -4 + 2z
8z = -4 + 2z + 3
8z - 2z = -4 + 3
6z = -1
z = \( \frac{-1}{6} \)
z = -\(\frac{1}{6}\)
If a = c = 3, b = d = 4, and the blue angle = 65°, what is the area of this parallelogram?
| 81 | |
| 12 | |
| 35 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
What is the circumference of a circle with a diameter of 14?
| 17π | |
| 5π | |
| 14π | |
| 6π |
The formula for circumference is circle diameter x π:
c = πd
c = 14π
On this circle, line segment CD is the:
diameter |
|
chord |
|
radius |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Simplify (3a)(6ab) + (8a2)(3b).
| 6a2b | |
| 42a2b | |
| -6a2b | |
| 99ab2 |
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)(6ab) + (8a2)(3b)
(3 x 6)(a x a x b) + (8 x 3)(a2 x b)
(18)(a1+1 x b) + (24)(a2b)
18a2b + 24a2b
42a2b