| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Factor y2 + 4y + 3
| (y + 1)(y - 3) | |
| (y - 1)(y - 3) | |
| (y - 1)(y + 3) | |
| (y + 1)(y + 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 3 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are 1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 4y + 3
y2 + (1 + 3)y + (1 x 3)
(y + 1)(y + 3)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify (y + 7)(y + 9)
| y2 + 2y - 63 | |
| y2 - 2y - 63 | |
| y2 + 16y + 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 + 7)(y + 9)
(y x y) + (y x 9) + (7 x y) + (7 x 9)
y2 + 9y + 7y + 63
y2 + 16y + 63
The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 3. What is the volume?
| 150 | |
| 21 | |
| 120 | |
| 144 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 7 x 3
v = 21