| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Solve for y:
7y + 6 < -5 - 9y
| y < 9 | |
| y < -\(\frac{11}{16}\) | |
| y < 2\(\frac{1}{2}\) | |
| y < \(\frac{2}{7}\) |
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.
7y + 6 < -5 - 9y
7y < -5 - 9y - 6
7y + 9y < -5 - 6
16y < -11
y < \( \frac{-11}{16} \)
y < -\(\frac{11}{16}\)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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).
A(n) __________ is two expressions separated by an equal sign.
equation |
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formula |
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problem |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Simplify (y + 7)(y + 7)
| y2 - 49 | |
| y2 - 14y + 49 | |
| y2 + 14y + 49 | |
| 41 |
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 + 7)
(y x y) + (y x 7) + (7 x y) + (7 x 7)
y2 + 7y + 7y + 49
y2 + 14y + 49
What is the area of a circle with a diameter of 4?
| 4π | |
| 49π | |
| 2π | |
| 9π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π