| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If side x = 9cm, side y = 7cm, and side z = 5cm what is the perimeter of this triangle?
| 24cm | |
| 23cm | |
| 21cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 7cm + 5cm = 21cm
Which of the following expressions contains exactly two terms?
binomial |
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quadratic |
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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.
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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area = ½bh |
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sum of interior angles = 180° |
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.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Inside |
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Odd |
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Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve for z:
z2 - 4z - 16 = 3z + 2
| -2 or 9 | |
| 8 or 1 | |
| 8 or 4 | |
| 4 or -6 |
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:
z2 - 4z - 16 = 3z + 2
z2 - 4z - 16 - 2 = 3z
z2 - 4z - 3z - 18 = 0
z2 - 7z - 18 = 0
Next, factor the quadratic equation:
z2 - 7z - 18 = 0
(z + 2)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z - 9) must equal zero:
If (z + 2) = 0, z must equal -2
If (z - 9) = 0, z must equal 9
So the solution is that z = -2 or 9