| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The endpoints of this line segment are at (-2, -8) and (2, 0). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 1 | |
| -2 | |
| 2 |
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, -8) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Solve for b:
-9b + 9 = 8 - 7b
| -4 | |
| \(\frac{1}{2}\) | |
| -\(\frac{3}{7}\) | |
| -1 |
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.
-9b + 9 = 8 - 7b
-9b = 8 - 7b - 9
-9b + 7b = 8 - 9
-2b = -1
b = \( \frac{-1}{-2} \)
b = \(\frac{1}{2}\)
Simplify (6a)(2ab) - (6a2)(8b).
| -36a2b | |
| 112ab2 | |
| 60ab2 | |
| 60a2b |
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.
(6a)(2ab) - (6a2)(8b)
(6 x 2)(a x a x b) - (6 x 8)(a2 x b)
(12)(a1+1 x b) - (48)(a2b)
12a2b - 48a2b
-36a2b
A(n) __________ is two expressions separated by an equal sign.
equation |
|
expression |
|
problem |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
|
all of these statements are correct |
|
you can subtract monomials that have the same variable and the same exponent |
|
you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.