| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Simplify (7a)(5ab) - (2a2)(2b).
| 39a2b | |
| 39ab2 | |
| 31a2b | |
| 48a2b |
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.
(7a)(5ab) - (2a2)(2b)
(7 x 5)(a x a x b) - (2 x 2)(a2 x b)
(35)(a1+1 x b) - (4)(a2b)
35a2b - 4a2b
31a2b
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
|
y-intercept |
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.
Solve for b:
7b - 4 > 9 + 6b
| b > \(\frac{2}{5}\) | |
| b > 1 | |
| b > 13 | |
| b > -2 |
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.
7b - 4 > 9 + 6b
7b > 9 + 6b + 4
7b - 6b > 9 + 4
b > 13
What is 8a + 9a?
| 17a | |
| -1 | |
| 72a2 | |
| a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 9a = 17a
The dimensions of this cube are height (h) = 1, length (l) = 1, and width (w) = 4. What is the volume?
| 168 | |
| 4 | |
| 90 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 1 x 4
v = 4