| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A coordinate grid is composed of which of the following?
y-axis |
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all of these |
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origin |
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x-axis |
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.
Find the value of a:
-3a + y = 4
3a + 2y = -3
| 1\(\frac{5}{8}\) | |
| -\(\frac{2}{3}\) | |
| -1\(\frac{2}{9}\) | |
| -6 |
You need to find the value of a so solve the first equation in terms of y:
-3a + y = 4
y = 4 + 3a
then substitute the result (4 - -3a) into the second equation:
3a + 2(4 + 3a) = -3
3a + (2 x 4) + (2 x 3a) = -3
3a + 8 + 6a = -3
3a + 6a = -3 - 8
9a = -11
a = \( \frac{-11}{9} \)
a = -1\(\frac{2}{9}\)
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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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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the area of a parallelogram is base x height |
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).
What is 3a5 - 9a5?
| 12 | |
| 27a5 | |
| -6a5 | |
| a510 |
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.
3a5 - 9a5 = -6a5
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.