| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Solve for y:
6y + 1 < \( \frac{y}{-4} \)
| y < -2\(\frac{4}{5}\) | |
| y < 1\(\frac{11}{14}\) | |
| y < -\(\frac{4}{25}\) | |
| y < \(\frac{4}{5}\) |
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.
6y + 1 < \( \frac{y}{-4} \)
-4 x (6y + 1) < y
(-4 x 6y) + (-4 x 1) < y
-24y - 4 < y
-24y - 4 - y < 0
-24y - y < 4
-25y < 4
y < \( \frac{4}{-25} \)
y < -\(\frac{4}{25}\)
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 1. What is the volume?
| 108 | |
| 12 | |
| 288 | |
| 60 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 6 x 1
v = 12
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
right angle |
|
equal angle |
|
parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (4a)(2ab) - (9a2)(6b).
| 62ab2 | |
| 90ab2 | |
| -46a2b | |
| 46ab2 |
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.
(4a)(2ab) - (9a2)(6b)
(4 x 2)(a x a x b) - (9 x 6)(a2 x b)
(8)(a1+1 x b) - (54)(a2b)
8a2b - 54a2b
-46a2b