| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
If side x = 12cm, side y = 11cm, and side z = 6cm what is the perimeter of this triangle?
| 34cm | |
| 35cm | |
| 31cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 11cm + 6cm = 29cm
What is 6a4 + 6a4?
| 12a4 | |
| 0 | |
| 12 | |
| a48 |
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.
6a4 + 6a4 = 12a4
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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sum of interior angles = 180° |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Which of the following expressions contains exactly two terms?
polynomial |
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monomial |
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quadratic |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve -6c - 6c = -8c - 7z - 7 for c in terms of z.
| -\(\frac{4}{7}\)z + \(\frac{2}{7}\) | |
| -1\(\frac{1}{6}\)z + \(\frac{1}{3}\) | |
| \(\frac{4}{5}\)z + \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\)z - 3\(\frac{1}{2}\) |
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.
-6c - 6z = -8c - 7z - 7
-6c = -8c - 7z - 7 + 6z
-6c + 8c = -7z - 7 + 6z
2c = -z - 7
c = \( \frac{-z - 7}{2} \)
c = \( \frac{-z}{2} \) + \( \frac{-7}{2} \)
c = -\(\frac{1}{2}\)z - 3\(\frac{1}{2}\)