| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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deconstructing |
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normalizing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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5 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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you can add 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 subtract 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.
Simplify (8a)(5ab) + (8a2)(2b).
| -24ab2 | |
| 130ab2 | |
| 24a2b | |
| 56a2b |
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.
(8a)(5ab) + (8a2)(2b)
(8 x 5)(a x a x b) + (8 x 2)(a2 x b)
(40)(a1+1 x b) + (16)(a2b)
40a2b + 16a2b
56a2b
Solve for a:
8a - 7 < \( \frac{a}{4} \)
| a < 4 | |
| a < \(\frac{28}{31}\) | |
| a < \(\frac{12}{41}\) | |
| a < -1\(\frac{3}{17}\) |
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 - 7 < \( \frac{a}{4} \)
4 x (8a - 7) < a
(4 x 8a) + (4 x -7) < a
32a - 28 < a
32a - 28 - a < 0
32a - a < 28
31a < 28
a < \( \frac{28}{31} \)
a < \(\frac{28}{31}\)