| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Simplify (y + 2)(y - 2)
| y2 - 4y + 4 | |
| y2 + 4y + 4 | |
| y2 - 4 | |
| 84 |
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 + 2)(y - 2)
(y x y) + (y x -2) + (2 x y) + (2 x -2)
y2 - 2y + 2y - 4
y2 - 4
The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 8, and h = 3. What is the area?
| 7\(\frac{1}{2}\) | |
| 15 | |
| 8 | |
| 18 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 8)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15
What is 8a + 3a?
| 24a | |
| 11a | |
| a2 | |
| 11 |
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.
8a + 3a = 11a
Solve for a:
-8a - 8 > \( \frac{a}{-7} \)
| a > -1\(\frac{1}{55}\) | |
| a > -1\(\frac{19}{44}\) | |
| a > -\(\frac{4}{7}\) | |
| a > -\(\frac{4}{25}\) |
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.
-8a - 8 > \( \frac{a}{-7} \)
-7 x (-8a - 8) > a
(-7 x -8a) + (-7 x -8) > a
56a + 56 > a
56a + 56 - a > 0
56a - a > -56
55a > -56
a > \( \frac{-56}{55} \)
a > -1\(\frac{1}{55}\)
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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polynomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.