| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Solve for c:
-5c - 1 < -6 + 9c
| c < -\(\frac{3}{8}\) | |
| c < -1\(\frac{2}{3}\) | |
| c < \(\frac{5}{14}\) | |
| c < 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 < sign and the answer on the other.
-5c - 1 < -6 + 9c
-5c < -6 + 9c + 1
-5c - 9c < -6 + 1
-14c < -5
c < \( \frac{-5}{-14} \)
c < \(\frac{5}{14}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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exponents |
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addition |
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division |
When solving an equation with two variables, 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.)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal length |
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right angle |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If angle a = 60° and angle b = 49° what is the length of angle d?
| 120° | |
| 154° | |
| 157° | |
| 114° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 49° = 71°
So, d° = 49° + 71° = 120°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 60° = 120°
What is 2a9 - 8a9?
| -6a18 | |
| -6a9 | |
| a918 | |
| -6 |
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.
2a9 - 8a9 = -6a9