| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Solve -4c + c = 8c - 4z - 8 for c in terms of z.
| -5\(\frac{1}{2}\)z + 3 | |
| 2z + 3 | |
| \(\frac{3}{4}\)z - \(\frac{3}{8}\) | |
| \(\frac{5}{12}\)z + \(\frac{2}{3}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-4c + z = 8c - 4z - 8
-4c = 8c - 4z - 8 - z
-4c - 8c = -4z - 8 - z
-12c = -5z - 8
c = \( \frac{-5z - 8}{-12} \)
c = \( \frac{-5z}{-12} \) + \( \frac{-8}{-12} \)
c = \(\frac{5}{12}\)z + \(\frac{2}{3}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Last |
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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.
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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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 |
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all of these statements are correct |
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.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If a = -1 and z = 9, what is the value of -3a(a - z)?
| -30 | |
| 108 | |
| -180 | |
| 63 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-3a(a - z)
-3(-1)(-1 - 9)
-3(-1)(-10)
(3)(-10)
-30