| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Find the value of c:
8c + z = -2
6c - 2z = 8
| -2\(\frac{1}{3}\) | |
| -\(\frac{20}{21}\) | |
| \(\frac{4}{41}\) | |
| \(\frac{2}{11}\) |
You need to find the value of c so solve the first equation in terms of z:
8c + z = -2
z = -2 - 8c
then substitute the result (-2 - 8c) into the second equation:
6c - 2(-2 - 8c) = 8
6c + (-2 x -2) + (-2 x -8c) = 8
6c + 4 + 16c = 8
6c + 16c = 8 - 4
22c = 4
c = \( \frac{4}{22} \)
c = \(\frac{2}{11}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
A quadrilateral is a shape with __________ sides.
2 |
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5 |
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4 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and right |
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equilateral, 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.
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.