| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
If BD = 25 and AD = 28, AB = ?
| 16 | |
| 18 | |
| 3 | |
| 19 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for y:
-8y + 4 = \( \frac{y}{-6} \)
| \(\frac{24}{47}\) | |
| -\(\frac{24}{41}\) | |
| -1\(\frac{5}{9}\) | |
| -\(\frac{12}{13}\) |
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.
-8y + 4 = \( \frac{y}{-6} \)
-6 x (-8y + 4) = y
(-6 x -8y) + (-6 x 4) = y
48y - 24 = y
48y - 24 - y = 0
48y - y = 24
47y = 24
y = \( \frac{24}{47} \)
y = \(\frac{24}{47}\)
Solve for z:
4z - 5 < 8 + 8z
| z < -\(\frac{7}{9}\) | |
| z < 4\(\frac{1}{2}\) | |
| z < -3\(\frac{1}{4}\) | |
| z < -\(\frac{1}{8}\) |
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.
4z - 5 < 8 + 8z
4z < 8 + 8z + 5
4z - 8z < 8 + 5
-4z < 13
z < \( \frac{13}{-4} \)
z < -3\(\frac{1}{4}\)
If a = c = 5, b = d = 9, what is the area of this rectangle?
| 27 | |
| 21 | |
| 6 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45
Simplify (y - 1)(y + 7)
| y2 - 6y - 7 | |
| y2 - 8y + 7 | |
| y2 + 8y + 7 | |
| y2 + 6y - 7 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y + 7)
(y x y) + (y x 7) + (-1 x y) + (-1 x 7)
y2 + 7y - y - 7
y2 + 6y - 7