| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
If b = -6 and x = -7, what is the value of -7b(b - x)?
| 42 | |
| -840 | |
| 588 | |
| -416 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-7b(b - x)
-7(-6)(-6 + 7)
-7(-6)(1)
(42)(1)
42
Find the value of a:
9a + x = -2
7a + 9x = -8
| -6\(\frac{1}{2}\) | |
| -\(\frac{5}{37}\) | |
| 3\(\frac{1}{3}\) | |
| -\(\frac{11}{20}\) |
You need to find the value of a so solve the first equation in terms of x:
9a + x = -2
x = -2 - 9a
then substitute the result (-2 - 9a) into the second equation:
7a + 9(-2 - 9a) = -8
7a + (9 x -2) + (9 x -9a) = -8
7a - 18 - 81a = -8
7a - 81a = -8 + 18
-74a = 10
a = \( \frac{10}{-74} \)
a = -\(\frac{5}{37}\)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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).
If a = 2, b = 2, c = 2, and d = 5, what is the perimeter of this quadrilateral?
| 23 | |
| 11 | |
| 16 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 2 + 2 + 5
p = 11
Solve for a:
-3a - 1 < -7 - 6a
| a < -2\(\frac{1}{2}\) | |
| a < -1\(\frac{4}{5}\) | |
| a < -\(\frac{1}{6}\) | |
| a < -2 |
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.
-3a - 1 < -7 - 6a
-3a < -7 - 6a + 1
-3a + 6a < -7 + 1
3a < -6
a < \( \frac{-6}{3} \)
a < -2