| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Solve for a:
a2 - 10a + 16 = 0
| 2 or -2 | |
| 2 or -3 | |
| 5 or 2 | |
| 2 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 10a + 16 = 0
(a - 2)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a - 8) must equal zero:
If (a - 2) = 0, a must equal 2
If (a - 8) = 0, a must equal 8
So the solution is that a = 2 or 8
What is the area of a circle with a radius of 2?
| 4π | |
| 8π | |
| 5π | |
| 9π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
all of the angles formed by a transversal are called interior angles |
|
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Simplify 5a x 8b.
| 40\( \frac{b}{a} \) | |
| 40ab | |
| 40\( \frac{a}{b} \) | |
| 40a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 8b = (5 x 8) (a x b) = 40ab
A quadrilateral is a shape with __________ sides.
3 |
|
2 |
|
4 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.