| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
Simplify (y - 9)(y - 7)
| y2 - 16y + 63 | |
| y2 + 2y - 63 | |
| y2 - 2y - 63 | |
| y2 + 16y + 63 |
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 - 9)(y - 7)
(y x y) + (y x -7) + (-9 x y) + (-9 x -7)
y2 - 7y - 9y + 63
y2 - 16y + 63
Solve for a:
a + 8 > 5 - 2a
| a > -1 | |
| a > 9 | |
| a > -\(\frac{3}{7}\) | |
| a > \(\frac{1}{4}\) |
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.
a + 8 > 5 - 2a
a > 5 - 2a - 8
a + 2a > 5 - 8
3a > -3
a > \( \frac{-3}{3} \)
a > -1
A(n) __________ is two expressions separated by an equal sign.
problem |
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expression |
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equation |
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formula |
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.
If the base of this triangle is 4 and the height is 3, what is the area?
| 17\(\frac{1}{2}\) | |
| 45 | |
| 6 | |
| 82\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 3 = \( \frac{12}{2} \) = 6
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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a2 - c2 |
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c2 - a2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)