| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
Solve for b:
b2 - 7b - 8 = 0
| 9 or -3 | |
| -1 or 8 | |
| 4 or -1 | |
| -4 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 7b - 8 = 0
(b + 1)(b - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 8) must equal zero:
If (b + 1) = 0, b must equal -1
If (b - 8) = 0, b must equal 8
So the solution is that b = -1 or 8
If the base of this triangle is 5 and the height is 3, what is the area?
| 15 | |
| 7\(\frac{1}{2}\) | |
| 65 | |
| 22\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 3 = \( \frac{15}{2} \) = 7\(\frac{1}{2}\)
Simplify (9a)(7ab) + (8a2)(5b).
| 103ab2 | |
| 103a2b | |
| 23a2b | |
| 208a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(7ab) + (8a2)(5b)
(9 x 7)(a x a x b) + (8 x 5)(a2 x b)
(63)(a1+1 x b) + (40)(a2b)
63a2b + 40a2b
103a2b
Which of the following expressions contains exactly two terms?
polynomial |
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monomial |
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binomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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right angle |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.