| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Simplify (y + 5)(y + 2)
| y2 + 7y + 10 | |
| y2 - 7y + 10 | |
| y2 - 3y - 10 | |
| y2 + 3y - 10 |
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 + 5)(y + 2)
(y x y) + (y x 2) + (5 x y) + (5 x 2)
y2 + 2y + 5y + 10
y2 + 7y + 10
If side x = 9cm, side y = 9cm, and side z = 5cm what is the perimeter of this triangle?
| 37cm | |
| 23cm | |
| 25cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 9cm + 5cm = 23cm
A quadrilateral is a shape with __________ sides.
5 |
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2 |
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3 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for c:
c2 + 3c - 34 = 5c + 1
| -5 or 7 | |
| -3 or -6 | |
| 9 or -1 | |
| 7 or -7 |
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:
c2 + 3c - 34 = 5c + 1
c2 + 3c - 34 - 1 = 5c
c2 + 3c - 5c - 35 = 0
c2 - 2c - 35 = 0
Next, factor the quadratic equation:
c2 - 2c - 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