| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Solve 6a - 9a = -a + 6z - 7 for a in terms of z.
| -z + 1 | |
| -z - \(\frac{4}{11}\) | |
| -2\(\frac{3}{7}\)z - \(\frac{3}{7}\) | |
| 2\(\frac{1}{7}\)z - 1 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
6a - 9z = -a + 6z - 7
6a = -a + 6z - 7 + 9z
6a + a = 6z - 7 + 9z
7a = 15z - 7
a = \( \frac{15z - 7}{7} \)
a = \( \frac{15z}{7} \) + \( \frac{-7}{7} \)
a = 2\(\frac{1}{7}\)z - 1
Simplify 8a x 7b.
| 56ab | |
| 56\( \frac{a}{b} \) | |
| 56a2b2 | |
| 15ab |
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.
8a x 7b = (8 x 7) (a x b) = 56ab
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 4. What is the volume?
| 81 | |
| 35 | |
| 32 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 6 x 4
v = 48
The formula for the area of a circle is which of the following?
c = π r |
|
c = π d2 |
|
c = π d |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
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.