| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Which of the following is not true about both rectangles and squares?
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 |
|
the area is length x width |
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).
Simplify (2a)(2ab) - (2a2)(2b).
| 8ab2 | |
| 16a2b | |
| 8a2b | |
| 0a2b |
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.
(2a)(2ab) - (2a2)(2b)
(2 x 2)(a x a x b) - (2 x 2)(a2 x b)
(4)(a1+1 x b) - (4)(a2b)
4a2b - 4a2b
0a2b
If angle a = 49° and angle b = 37° what is the length of angle c?
| 104° | |
| 94° | |
| 89° | |
| 99° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 37° = 94°
Solve for x:
-x + 2 > -7 - 8x
| x > -\(\frac{4}{7}\) | |
| x > \(\frac{2}{3}\) | |
| x > -1\(\frac{2}{7}\) | |
| x > -1\(\frac{1}{2}\) |
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.
-x + 2 > -7 - 8x
-x > -7 - 8x - 2
-x + 8x > -7 - 2
7x > -9
x > \( \frac{-9}{7} \)
x > -1\(\frac{2}{7}\)
The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 7. What is the surface area?
| 266 | |
| 212 | |
| 168 | |
| 102 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 7) + (2 x 7 x 7) + (2 x 6 x 7)
sa = (84) + (98) + (84)
sa = 266