| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve -8a + 2a = 3a + 2y + 3 for a in terms of y.
| y - \(\frac{1}{3}\) | |
| 11y + 2 | |
| y - \(\frac{3}{11}\) | |
| -4\(\frac{1}{2}\)y + 4 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-8a + 2y = 3a + 2y + 3
-8a = 3a + 2y + 3 - 2y
-8a - 3a = 2y + 3 - 2y
-11a = + 3
a = \( \frac{ + 3}{-11} \)
a = \( \frac{}{-11} \) + \( \frac{3}{-11} \)
a = y - \(\frac{3}{11}\)
If a = -3 and y = 8, what is the value of -9a(a - y)?
| -70 | |
| -144 | |
| -288 | |
| -297 |
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.)
-9a(a - y)
-9(-3)(-3 - 8)
-9(-3)(-11)
(27)(-11)
-297
What is 2a - 8a?
| a2 | |
| 16a | |
| -6a | |
| 10a2 |
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.
2a - 8a = -6a
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).