| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and right |
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isosceles and right |
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equilateral and isosceles |
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 x:
4x - 2 < \( \frac{x}{-7} \)
| x < -2\(\frac{25}{28}\) | |
| x < \(\frac{14}{29}\) | |
| x < -\(\frac{6}{43}\) | |
| x < \(\frac{42}{55}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
4x - 2 < \( \frac{x}{-7} \)
-7 x (4x - 2) < x
(-7 x 4x) + (-7 x -2) < x
-28x + 14 < x
-28x + 14 - x < 0
-28x - x < -14
-29x < -14
x < \( \frac{-14}{-29} \)
x < \(\frac{14}{29}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Factor y2 - 10y + 9
| (y - 9)(y + 1) | |
| (y - 9)(y - 1) | |
| (y + 9)(y + 1) | |
| (y + 9)(y - 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -9 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 10y + 9
y2 + (-9 - 1)y + (-9 x -1)
(y - 9)(y - 1)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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division |
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exponents |
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addition |
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.)