| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
A(n) __________ is two expressions separated by an equal sign.
problem |
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expression |
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equation |
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formula |
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.
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.
Solve for c:
c2 - 3c - 18 = 0
| -3 or 6 | |
| 7 or 5 | |
| 5 or -9 | |
| 7 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 3c - 18 = 0
(c + 3)(c - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 3) or (c - 6) must equal zero:
If (c + 3) = 0, c must equal -3
If (c - 6) = 0, c must equal 6
So the solution is that c = -3 or 6
If angle a = 52° and angle b = 52° what is the length of angle c?
| 76° | |
| 134° | |
| 104° | |
| 105° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 52° - 52° = 76°
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).