| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
If the base of this triangle is 5 and the height is 6, what is the area?
| 15 | |
| 45\(\frac{1}{2}\) | |
| 25 | |
| 63 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 6 = \( \frac{30}{2} \) = 15
If a = 8, b = 9, c = 9, and d = 8, what is the perimeter of this quadrilateral?
| 34 | |
| 13 | |
| 10 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 9 + 9 + 8
p = 34
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Inside |
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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 a:
a2 + 13a + 21 = 4a + 1
| -4 or -5 | |
| -5 or -7 | |
| 5 or -3 | |
| 7 or 3 |
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:
a2 + 13a + 21 = 4a + 1
a2 + 13a + 21 - 1 = 4a
a2 + 13a - 4a + 20 = 0
a2 + 9a + 20 = 0
Next, factor the quadratic equation:
a2 + 9a + 20 = 0
(a + 4)(a + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a + 5) must equal zero:
If (a + 4) = 0, a must equal -4
If (a + 5) = 0, a must equal -5
So the solution is that a = -4 or -5
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.