| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Find the value of b:
-6b + x = -7
-8b - 8x = -5
| -1\(\frac{1}{50}\) | |
| 1\(\frac{5}{56}\) | |
| -2 | |
| 1\(\frac{3}{4}\) |
You need to find the value of b so solve the first equation in terms of x:
-6b + x = -7
x = -7 + 6b
then substitute the result (-7 - -6b) into the second equation:
-8b - 8(-7 + 6b) = -5
-8b + (-8 x -7) + (-8 x 6b) = -5
-8b + 56 - 48b = -5
-8b - 48b = -5 - 56
-56b = -61
b = \( \frac{-61}{-56} \)
b = 1\(\frac{5}{56}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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h x l x w |
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lw x wh + lh |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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addition |
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division |
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pairs |
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.)
On this circle, line segment AB is the:
circumference |
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diameter |
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radius |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for b:
-5b + 7 = 4 - 4b
| -\(\frac{1}{8}\) | |
| -2\(\frac{1}{4}\) | |
| -1 | |
| 3 |
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 equal sign and the answer on the other.
-5b + 7 = 4 - 4b
-5b = 4 - 4b - 7
-5b + 4b = 4 - 7
-b = -3
b = \( \frac{-3}{-1} \)
b = 3