| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Solve for z:
2z - 5 < 3 - z
| z < -\(\frac{2}{9}\) | |
| z < 2\(\frac{2}{3}\) | |
| z < -\(\frac{2}{3}\) | |
| z < \(\frac{1}{5}\) |
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 < sign and the answer on the other.
2z - 5 < 3 - z
2z < 3 - z + 5
2z + z < 3 + 5
3z < 8
z < \( \frac{8}{3} \)
z < 2\(\frac{2}{3}\)
The endpoints of this line segment are at (-2, -2) and (2, 2). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -2 | |
| 1 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Simplify 2a x 6b.
| 12\( \frac{a}{b} \) | |
| 12\( \frac{b}{a} \) | |
| 12ab | |
| 12a2b2 |
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 6b = (2 x 6) (a x b) = 12ab
The dimensions of this cube are height (h) = 6, length (l) = 7, and width (w) = 9. What is the volume?
| 144 | |
| 270 | |
| 216 | |
| 378 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 7 x 9
v = 378
If side x = 5cm, side y = 15cm, and side z = 13cm what is the perimeter of this triangle?
| 36cm | |
| 27cm | |
| 29cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 15cm + 13cm = 33cm