| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
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.
Simplify (y - 5)(y - 6)
| y2 + 11y + 30 | |
| y2 - 11y + 30 | |
| y2 + y - 30 | |
| y2 - y - 30 |
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 - 5)(y - 6)
(y x y) + (y x -6) + (-5 x y) + (-5 x -6)
y2 - 6y - 5y + 30
y2 - 11y + 30
A(n) __________ is two expressions separated by an equal sign.
expression |
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equation |
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formula |
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problem |
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 (4a)(8ab) + (3a2)(9b).
| 59ab2 | |
| -5a2b | |
| 59a2b | |
| 5a2b |
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.
(4a)(8ab) + (3a2)(9b)
(4 x 8)(a x a x b) + (3 x 9)(a2 x b)
(32)(a1+1 x b) + (27)(a2b)
32a2b + 27a2b
59a2b
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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2lw x 2wh + 2lh |
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lw x wh + lh |
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h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.