| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Simplify (y + 6)(y + 6)
| y2 - 12y + 36 | |
| 98 | |
| y2 + 12y + 36 | |
| y2 - 36 |
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 + 6)(y + 6)
(y x y) + (y x 6) + (6 x y) + (6 x 6)
y2 + 6y + 6y + 36
y2 + 12y + 36
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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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 |
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.
A coordinate grid is composed of which of the following?
y-axis |
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all of these |
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origin |
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x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If the base of this triangle is 8 and the height is 3, what is the area?
| 12 | |
| 32 | |
| 97\(\frac{1}{2}\) | |
| 37\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 3 = \( \frac{24}{2} \) = 12
Solve for y:
-4y + 5 < 4 + y
| y < -\(\frac{7}{8}\) | |
| y < -\(\frac{1}{9}\) | |
| y < \(\frac{1}{5}\) | |
| y < -1\(\frac{1}{4}\) |
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.
-4y + 5 < 4 + y
-4y < 4 + y - 5
-4y - y < 4 - 5
-5y < -1
y < \( \frac{-1}{-5} \)
y < \(\frac{1}{5}\)