| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Solve for y:
3y - 1 < -7 - 3y
| y < -\(\frac{5}{6}\) | |
| y < -1 | |
| y < -\(\frac{8}{9}\) | |
| y < -\(\frac{3}{5}\) |
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.
3y - 1 < -7 - 3y
3y < -7 - 3y + 1
3y + 3y < -7 + 1
6y < -6
y < \( \frac{-6}{6} \)
y < -1
If side a = 1, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 12
c2 = 1 + 1
c2 = 2
c = \( \sqrt{2} \)
What is the circumference of a circle with a radius of 4?
| 11π | |
| 30π | |
| 32π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 4)
c = 8π
If a = 7, b = 8, c = 5, and d = 5, what is the perimeter of this quadrilateral?
| 26 | |
| 22 | |
| 25 | |
| 29 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 8 + 5 + 5
p = 25
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d |
|
a = π r2 |
|
a = π d2 |
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.