| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If a = c = 4, b = d = 5, what is the area of this rectangle?
| 20 | |
| 81 | |
| 2 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
What is 2a4 - 5a4?
| 10a8 | |
| -3 | |
| -3a4 | |
| -3a8 |
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.
2a4 - 5a4 = -3a4
Solve for x:
2x + 5 < -2 - 8x
| x < -\(\frac{7}{10}\) | |
| x < 1 | |
| x < 4 | |
| x < \(\frac{7}{9}\) |
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.
2x + 5 < -2 - 8x
2x < -2 - 8x - 5
2x + 8x < -2 - 5
10x < -7
x < \( \frac{-7}{10} \)
x < -\(\frac{7}{10}\)
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d2 |
|
a = π r |
|
a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
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 area is length x width |
|
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).