| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the circumference of a circle with a radius of 1?
| 2π | |
| 24π | |
| 18π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 1)
c = 2π
Find the value of a:
-6a + z = 8
-5a - 8z = 2
| -1\(\frac{13}{53}\) | |
| -\(\frac{33}{37}\) | |
| 3\(\frac{16}{21}\) | |
| -5\(\frac{1}{2}\) |
You need to find the value of a so solve the first equation in terms of z:
-6a + z = 8
z = 8 + 6a
then substitute the result (8 - -6a) into the second equation:
-5a - 8(8 + 6a) = 2
-5a + (-8 x 8) + (-8 x 6a) = 2
-5a - 64 - 48a = 2
-5a - 48a = 2 + 64
-53a = 66
a = \( \frac{66}{-53} \)
a = -1\(\frac{13}{53}\)
If a = 6, b = 5, c = 6, and d = 2, what is the perimeter of this quadrilateral?
| 21 | |
| 19 | |
| 25 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 5 + 6 + 2
p = 19
A right angle measures:
45° |
|
180° |
|
360° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
|
you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.