| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
What is 4a + 4a?
| 16a2 | |
| a2 | |
| 2 | |
| 8a |
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 + 4a = 8a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
|
Inside |
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Last |
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.
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the lengths of all sides are equal |
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the area is length x width |
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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).
If a = c = 7, b = d = 8, and the blue angle = 59°, what is the area of this parallelogram?
| 15 | |
| 10 | |
| 56 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
Solve for z:
-4z - 4 < \( \frac{z}{-2} \)
| z < 1\(\frac{17}{23}\) | |
| z < \(\frac{40}{73}\) | |
| z < -1\(\frac{1}{7}\) | |
| z < -1\(\frac{16}{29}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-4z - 4 < \( \frac{z}{-2} \)
-2 x (-4z - 4) < z
(-2 x -4z) + (-2 x -4) < z
8z + 8 < z
8z + 8 - z < 0
8z - z < -8
7z < -8
z < \( \frac{-8}{7} \)
z < -1\(\frac{1}{7}\)