| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Solve for c:
c - 3 = 4 + 8c
| \(\frac{4}{5}\) | |
| \(\frac{1}{9}\) | |
| 1\(\frac{4}{5}\) | |
| -1 |
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.
c - 3 = 4 + 8c
c = 4 + 8c + 3
c - 8c = 4 + 3
-7c = 7
c = \( \frac{7}{-7} \)
c = -1
What is 4a9 - 8a9?
| 12a18 | |
| -4 | |
| -4a9 | |
| 32a9 |
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.
4a9 - 8a9 = -4a9
Simplify (4a)(2ab) + (6a2)(8b).
| 56ab2 | |
| 84a2b | |
| 40a2b | |
| 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.
(4a)(2ab) + (6a2)(8b)
(4 x 2)(a x a x b) + (6 x 8)(a2 x b)
(8)(a1+1 x b) + (48)(a2b)
8a2b + 48a2b
56a2b
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 types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral, isosceles and right |
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equilateral and right |
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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.