| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Solve for y:
3y - 8 = \( \frac{y}{-4} \)
| \(\frac{48}{55}\) | |
| 2\(\frac{6}{13}\) | |
| 4\(\frac{1}{2}\) | |
| 1\(\frac{2}{3}\) |
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 equal sign and the answer on the other.
3y - 8 = \( \frac{y}{-4} \)
-4 x (3y - 8) = y
(-4 x 3y) + (-4 x -8) = y
-12y + 32 = y
-12y + 32 - y = 0
-12y - y = -32
-13y = -32
y = \( \frac{-32}{-13} \)
y = 2\(\frac{6}{13}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Last |
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Odd |
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Inside |
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.
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 2, and h = 2. What is the area?
| 25\(\frac{1}{2}\) | |
| 35 | |
| 10 | |
| 7 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 2)(2)
a = ½(7)(2)
a = ½(14) = \( \frac{14}{2} \)
a = 7
What is 3a + 2a?
| 5a2 | |
| a2 | |
| 5a | |
| 6a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a + 2a = 5a
Which of the following statements about math operations is incorrect?
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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all of these statements are correct |
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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.