| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is the circumference of a circle with a radius of 13?
| 26π | |
| 6π | |
| 10π | |
| 30π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 13)
c = 26π
What is 6a5 - 5a5?
| 30a5 | |
| 1a5 | |
| 1 | |
| 11a10 |
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.
6a5 - 5a5 = 1a5
If the base of this triangle is 7 and the height is 2, what is the area?
| 30 | |
| 33 | |
| 56 | |
| 7 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
|
the lengths of all sides are equal |
|
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
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).
If a = 6 and z = -1, what is the value of -2a(a - z)?
| -70 | |
| -84 | |
| -45 | |
| -720 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-2a(a - z)
-2(6)(6 + 1)
-2(6)(7)
(-12)(7)
-84