| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Solve for b:
b2 + 3b - 9 = b - 1
| 8 or -7 | |
| 2 or -4 | |
| 8 or -6 | |
| 9 or 5 |
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:
b2 + 3b - 9 = b - 1
b2 + 3b - 9 + 1 = b
b2 + 3b - b - 8 = 0
b2 + 2b - 8 = 0
Next, factor the quadratic equation:
b2 + 2b - 8 = 0
(b - 2)(b + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 4) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 4) = 0, b must equal -4
So the solution is that b = 2 or -4
What is the circumference of a circle with a radius of 14?
| 28π | |
| 38π | |
| 4π | |
| 20π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π
Solve for y:
3y + 1 = 3 - 7y
| 2\(\frac{2}{3}\) | |
| 2\(\frac{1}{3}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{4}{5}\) |
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 equal sign and the answer on the other.
3y + 1 = 3 - 7y
3y = 3 - 7y - 1
3y + 7y = 3 - 1
10y = 2
y = \( \frac{2}{10} \)
y = \(\frac{1}{5}\)
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
opposite sides and adjacent angles are equal |
|
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for z:
z2 + 7z + 10 = 0
| -2 or -5 | |
| 3 or 1 | |
| 5 or -6 | |
| 9 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 7z + 10 = 0
(z + 2)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 5) must equal zero:
If (z + 2) = 0, z must equal -2
If (z + 5) = 0, z must equal -5
So the solution is that z = -2 or -5