| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Simplify (y + 2)(y + 2)
| y2 - 4y + 4 | |
| y2 - 4 | |
| 50 | |
| y2 + 4y + 4 |
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 + 2)(y + 2)
(y x y) + (y x 2) + (2 x y) + (2 x 2)
y2 + 2y + 2y + 4
y2 + 4y + 4
The dimensions of this cube are height (h) = 1, length (l) = 1, and width (w) = 4. What is the volume?
| 280 | |
| 378 | |
| 72 | |
| 4 |
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
Solve for a:
2a - 4 = \( \frac{a}{-4} \)
| -1\(\frac{1}{3}\) | |
| 1\(\frac{7}{9}\) | |
| -1\(\frac{1}{17}\) | |
| -\(\frac{15}{19}\) |
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.
2a - 4 = \( \frac{a}{-4} \)
-4 x (2a - 4) = a
(-4 x 2a) + (-4 x -4) = a
-8a + 16 = a
-8a + 16 - a = 0
-8a - a = -16
-9a = -16
a = \( \frac{-16}{-9} \)
a = 1\(\frac{7}{9}\)
If a = c = 4, b = d = 3, and the blue angle = 69°, what is the area of this parallelogram?
| 42 | |
| 12 | |
| 4 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 3
a = 12
If angle a = 64° and angle b = 68° what is the length of angle c?
| 92° | |
| 115° | |
| 125° | |
| 48° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 64° - 68° = 48°