| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for y:
y2 + 3y - 18 = -3y - 2
| 2 or -8 | |
| 3 or -8 | |
| 3 or -2 | |
| 8 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:
y2 + 3y - 18 = -3y - 2
y2 + 3y - 18 + 2 = -3y
y2 + 3y + 3y - 16 = 0
y2 + 6y - 16 = 0
Next, factor the quadratic equation:
y2 + 6y - 16 = 0
(y - 2)(y + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y + 8) must equal zero:
If (y - 2) = 0, y must equal 2
If (y + 8) = 0, y must equal -8
So the solution is that y = 2 or -8
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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addition |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If side x = 7cm, side y = 7cm, and side z = 11cm what is the perimeter of this triangle?
| 42cm | |
| 25cm | |
| 28cm | |
| 27cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 7cm + 11cm = 25cm