| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Solve for b:
-b - 7 = \( \frac{b}{-3} \)
| 5\(\frac{1}{4}\) | |
| -10\(\frac{1}{2}\) | |
| -1\(\frac{9}{31}\) | |
| \(\frac{4}{31}\) |
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.
-b - 7 = \( \frac{b}{-3} \)
-3 x (-b - 7) = b
(-3 x -b) + (-3 x -7) = b
3b + 21 = b
3b + 21 - b = 0
3b - b = -21
2b = -21
b = \( \frac{-21}{2} \)
b = -10\(\frac{1}{2}\)
If a = c = 1, b = d = 8, what is the area of this rectangle?
| 20 | |
| 8 | |
| 36 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 8
a = 8
If a = c = 6, b = d = 4, and the blue angle = 70°, what is the area of this parallelogram?
| 30 | |
| 40 | |
| 24 | |
| 3 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 4
a = 24
If side x = 6cm, side y = 6cm, and side z = 8cm what is the perimeter of this triangle?
| 20cm | |
| 33cm | |
| 32cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 6cm + 8cm = 20cm
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).