| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for z:
2z + 4 = \( \frac{z}{1} \)
| -\(\frac{3}{14}\) | |
| -\(\frac{63}{73}\) | |
| -4 | |
| -\(\frac{3}{4}\) |
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.
2z + 4 = \( \frac{z}{1} \)
1 x (2z + 4) = z
(1 x 2z) + (1 x 4) = z
2z + 4 = z
2z + 4 - z = 0
2z - z = -4
z = -4
z = \( \frac{-4}{1} \)
z = -4
A(n) __________ is two expressions separated by an equal sign.
problem |
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formula |
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expression |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Solve -5a + a = -4a - 6x + 7 for a in terms of x.
| -4\(\frac{1}{2}\)x - 1\(\frac{1}{2}\) | |
| -\(\frac{1}{7}\)x - \(\frac{1}{7}\) | |
| 7x - 7 | |
| -\(\frac{4}{9}\)x - \(\frac{1}{9}\) |
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.
-5a + x = -4a - 6x + 7
-5a = -4a - 6x + 7 - x
-5a + 4a = -6x + 7 - x
-a = -7x + 7
a = \( \frac{-7x + 7}{-1} \)
a = \( \frac{-7x}{-1} \) + \( \frac{7}{-1} \)
a = 7x - 7
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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isosceles and right |
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equilateral and isosceles |
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equilateral 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.