| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
If angle a = 27° and angle b = 23° what is the length of angle c?
| 130° | |
| 78° | |
| 132° | |
| 81° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 23° = 130°
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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monomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A right angle measures:
360° |
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45° |
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90° |
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180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for y:
y2 + 12y + 10 = 5y - 2
| -1 or -5 | |
| 5 or -7 | |
| 5 or -1 | |
| -3 or -4 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 + 12y + 10 = 5y - 2
y2 + 12y + 10 + 2 = 5y
y2 + 12y - 5y + 12 = 0
y2 + 7y + 12 = 0
Next, factor the quadratic equation:
y2 + 7y + 12 = 0
(y + 3)(y + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 4) must equal zero:
If (y + 3) = 0, y must equal -3
If (y + 4) = 0, y must equal -4
So the solution is that y = -3 or -4
A(n) __________ is two expressions separated by an equal sign.
equation |
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problem |
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expression |
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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.