| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Simplify (y - 4)(y - 5)
| y2 - y - 20 | |
| y2 + 9y + 20 | |
| y2 + y - 20 | |
| y2 - 9y + 20 |
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:
(y - 4)(y - 5)
(y x y) + (y x -5) + (-4 x y) + (-4 x -5)
y2 - 5y - 4y + 20
y2 - 9y + 20
Solve for c:
c2 - 12c + 35 = 0
| 5 or 7 | |
| 2 or -6 | |
| -3 or -8 | |
| 8 or 4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 12c + 35 = 0
(c - 5)(c - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c - 7) must equal zero:
If (c - 5) = 0, c must equal 5
If (c - 7) = 0, c must equal 7
So the solution is that c = 5 or 7
If the base of this triangle is 2 and the height is 4, what is the area?
| 24\(\frac{1}{2}\) | |
| 45\(\frac{1}{2}\) | |
| 78 | |
| 4 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 4 = \( \frac{8}{2} \) = 4
Which of the following statements about a triangle is not true?
area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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trapezoid |
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quadrilateral |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.