| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is 7a - 3a?
| 4a | |
| 10 | |
| 4 | |
| 4a2 |
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.
7a - 3a = 4a
Solve for z:
z2 + 11z + 28 = 0
| -4 or -7 | |
| 8 or 3 | |
| 6 or -9 | |
| -3 or -9 |
The first step to solve a quadratic equation that's set to zero is to 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
Simplify (y - 7)(y + 4)
| y2 - 3y - 28 | |
| y2 + 3y - 28 | |
| y2 + 11y + 28 | |
| y2 - 11y + 28 |
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 - 7)(y + 4)
(y x y) + (y x 4) + (-7 x y) + (-7 x 4)
y2 + 4y - 7y - 28
y2 - 3y - 28
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
the lengths of all sides are equal |
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all interior angles are right angles |
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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).
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the surface area?
| 96π | |
| 182π | |
| 42π | |
| 180π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 4)
sa = 2π(9) + 2π(12)
sa = (2 x 9)π + (2 x 12)π
sa = 18π + 24π
sa = 42π