| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is the circumference of a circle with a radius of 3?
| 30π | |
| 11π | |
| 6π | |
| 10π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π
What is 8a + 2a?
| 16a | |
| 16a2 | |
| 10a | |
| a2 |
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.
8a + 2a = 10a
Solve for y:
y2 - 11y - 4 = -4y + 4
| -1 or 8 | |
| -4 or -5 | |
| 4 or -3 | |
| -2 or -2 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 - 11y - 4 = -4y + 4
y2 - 11y - 4 - 4 = -4y
y2 - 11y + 4y - 8 = 0
y2 - 7y - 8 = 0
Next, factor the quadratic equation:
y2 - 7y - 8 = 0
(y + 1)(y - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 8) must equal zero:
If (y + 1) = 0, y must equal -1
If (y - 8) = 0, y must equal 8
So the solution is that y = -1 or 8
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
x-axis |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve for a:
-9a - 3 < \( \frac{a}{2} \)
| a < 1\(\frac{1}{9}\) | |
| a < -\(\frac{15}{19}\) | |
| a < -\(\frac{6}{19}\) | |
| a < \(\frac{5}{12}\) |
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.
-9a - 3 < \( \frac{a}{2} \)
2 x (-9a - 3) < a
(2 x -9a) + (2 x -3) < a
-18a - 6 < a
-18a - 6 - a < 0
-18a - a < 6
-19a < 6
a < \( \frac{6}{-19} \)
a < -\(\frac{6}{19}\)