| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?
| 1 | |
| -2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 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, 1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)A right angle measures:
90° |
|
360° |
|
45° |
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180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify (3a)(5ab) - (6a2)(9b).
| 69a2b | |
| 39ab2 | |
| -39a2b | |
| 120a2b |
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.
(3a)(5ab) - (6a2)(9b)
(3 x 5)(a x a x b) - (6 x 9)(a2 x b)
(15)(a1+1 x b) - (54)(a2b)
15a2b - 54a2b
-39a2b
Solve for y:
9y - 9 = -4 - 7y
| 1\(\frac{3}{4}\) | |
| -3\(\frac{1}{2}\) | |
| \(\frac{5}{16}\) | |
| \(\frac{3}{4}\) |
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.
9y - 9 = -4 - 7y
9y = -4 - 7y + 9
9y + 7y = -4 + 9
16y = 5
y = \( \frac{5}{16} \)
y = \(\frac{5}{16}\)
What is 6a + 4a?
| 2 | |
| 24a | |
| a2 | |
| 10a |
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.
6a + 4a = 10a