| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
What is 2a - 6a?
| 8 | |
| 8a2 | |
| 12a | |
| -4a |
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.
2a - 6a = -4a
Solve for z:
z2 - 5z + 4 = 0
| 1 or 4 | |
| 9 or 6 | |
| -7 or -9 | |
| 7 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 5z + 4 = 0
(z - 1)(z - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 4) must equal zero:
If (z - 1) = 0, z must equal 1
If (z - 4) = 0, z must equal 4
So the solution is that z = 1 or 4
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the surface area?
| 24π | |
| 192π | |
| 126π | |
| 28π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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).