| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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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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you can subtract monomials that have the same variable and the same exponent |
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 of the following expressions contains exactly two terms?
binomial |
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monomial |
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quadratic |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for c:
c2 + 16c + 63 = 0
| 5 or 2 | |
| 7 or -5 | |
| -3 or -8 | |
| -7 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 16c + 63 = 0
(c + 7)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 7) or (c + 9) must equal zero:
If (c + 7) = 0, c must equal -7
If (c + 9) = 0, c must equal -9
So the solution is that c = -7 or -9
If angle a = 33° and angle b = 28° what is the length of angle d?
| 147° | |
| 149° | |
| 133° | |
| 159° |
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° - 33° - 28° = 119°
So, d° = 28° + 119° = 147°
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° - 33° = 147°
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.