| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
What is 4a + 6a?
| a2 | |
| 10a | |
| 24a2 | |
| -2a2 |
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.
4a + 6a = 10a
Simplify (y + 2)(y + 6)
| y2 - 8y + 12 | |
| y2 + 4y - 12 | |
| y2 + 8y + 12 | |
| y2 - 4y - 12 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y + 6)
(y x y) + (y x 6) + (2 x y) + (2 x 6)
y2 + 6y + 2y + 12
y2 + 8y + 12
The dimensions of this cylinder are height (h) = 8 and radius (r) = 8. What is the surface area?
| 256π | |
| 48π | |
| 40π | |
| 180π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 8)
sa = 2π(64) + 2π(64)
sa = (2 x 64)π + (2 x 64)π
sa = 128π + 128π
sa = 256π
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
x-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
all interior angles are right angles |
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the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).