| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The endpoints of this line segment are at (-2, 0) and (2, 2). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| -3 | |
| -2 | |
| \(\frac{1}{2}\) |
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, 0) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (0.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)What is 4a2 - 4a2?
| 0a2 | |
| 16a4 | |
| 4 | |
| 16a2 |
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.
4a2 - 4a2 = 0a2
Find the value of b:
-7b + y = 8
7b - 2y = -2
| 4 | |
| \(\frac{1}{56}\) | |
| -2 | |
| \(\frac{7}{13}\) |
You need to find the value of b so solve the first equation in terms of y:
-7b + y = 8
y = 8 + 7b
then substitute the result (8 - -7b) into the second equation:
7b - 2(8 + 7b) = -2
7b + (-2 x 8) + (-2 x 7b) = -2
7b - 16 - 14b = -2
7b - 14b = -2 + 16
-7b = 14
b = \( \frac{14}{-7} \)
b = -2
Simplify (7a)(5ab) - (5a2)(5b).
| 60a2b | |
| 10a2b | |
| 60ab2 | |
| -10ab2 |
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) - (5a2)(5b)
(7 x 5)(a x a x b) - (5 x 5)(a2 x b)
(35)(a1+1 x b) - (25)(a2b)
35a2b - 25a2b
10a2b
If side x = 8cm, side y = 14cm, and side z = 14cm what is the perimeter of this triangle?
| 33cm | |
| 36cm | |
| 28cm | |
| 20cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 14cm + 14cm = 36cm