| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
Factor y2 - 5y - 24
| (y + 8)(y - 3) | |
| (y + 8)(y + 3) | |
| (y - 8)(y - 3) | |
| (y - 8)(y + 3) |
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 -24 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -8 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 5y - 24
y2 + (-8 + 3)y + (-8 x 3)
(y - 8)(y + 3)
The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 1. What is the surface area?
| 160 | |
| 58 | |
| 34 | |
| 52 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 1) + (2 x 1 x 8) + (2 x 1 x 8)
sa = (2) + (16) + (16)
sa = 34
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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division |
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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.)
The formula for the area of a circle is which of the following?
c = π r |
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c = π d |
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c = π d2 |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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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 |
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).