| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
What is the area of a circle with a radius of 5?
| 36π | |
| 3π | |
| 25π | |
| 2π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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.
If the base of this triangle is 2 and the height is 3, what is the area?
| 24 | |
| 3 | |
| 32 | |
| 42 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 3 = \( \frac{6}{2} \) = 3
Solve for z:
z2 + z - 12 = 0
| 2 or -1 | |
| 3 or -4 | |
| 9 or 2 | |
| 8 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + z - 12 = 0
(z - 3)(z + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 4) must equal zero:
If (z - 3) = 0, z must equal 3
If (z + 4) = 0, z must equal -4
So the solution is that z = 3 or -4
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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trapezoid |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.