| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
A quadrilateral is a shape with __________ sides.
2 |
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5 |
|
3 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
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c = π d |
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c = 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.
Solve for z:
z2 + 12z + 30 = z + 2
| 7 or -7 | |
| 2 or 2 | |
| -5 or -6 | |
| -4 or -7 |
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:
z2 + 12z + 30 = z + 2
z2 + 12z + 30 - 2 = z
z2 + 12z - z + 28 = 0
z2 + 11z + 28 = 0
Next, factor the quadratic equation:
z2 + 11z + 28 = 0
(z + 4)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 4) or (z + 7) must equal zero:
If (z + 4) = 0, z must equal -4
If (z + 7) = 0, z must equal -7
So the solution is that z = -4 or -7
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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right angle |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify 2a x 4b.
| 8ab | |
| 8\( \frac{b}{a} \) | |
| 8a2b2 | |
| 6ab |
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.
2a x 4b = (2 x 4) (a x b) = 8ab