| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Solve for z:
9z + 3 < \( \frac{z}{8} \)
| z < -\(\frac{24}{71}\) | |
| z < 1\(\frac{4}{11}\) | |
| z < 3\(\frac{3}{8}\) | |
| z < \(\frac{12}{19}\) |
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.
9z + 3 < \( \frac{z}{8} \)
8 x (9z + 3) < z
(8 x 9z) + (8 x 3) < z
72z + 24 < z
72z + 24 - z < 0
72z - z < -24
71z < -24
z < \( \frac{-24}{71} \)
z < -\(\frac{24}{71}\)
A(n) __________ is two expressions separated by an equal sign.
formula |
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expression |
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equation |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
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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h x l x w |
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lw x wh + lh |
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h2 x l2 x w2 |
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 trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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parallel |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If c = -9 and y = -2, what is the value of -5c(c - y)?
| -315 | |
| 48 | |
| -240 | |
| -180 |
To solve this equation, 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.)
-5c(c - y)
-5(-9)(-9 + 2)
-5(-9)(-7)
(45)(-7)
-315