| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A(n) __________ is two expressions separated by an equal sign.
equation |
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formula |
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problem |
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expression |
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.
Solve for b:
9b + 8 > -8 - 4b
| b > -\(\frac{2}{7}\) | |
| b > 1\(\frac{1}{7}\) | |
| b > -1\(\frac{1}{2}\) | |
| b > -1\(\frac{3}{13}\) |
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.
9b + 8 > -8 - 4b
9b > -8 - 4b - 8
9b + 4b > -8 - 8
13b > -16
b > \( \frac{-16}{13} \)
b > -1\(\frac{3}{13}\)
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d2 |
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a = π r |
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a = π d |
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.
Find the value of a:
-8a + z = 1
-2a + 3z = 2
| -\(\frac{1}{37}\) | |
| -\(\frac{5}{6}\) | |
| -\(\frac{1}{22}\) | |
| -\(\frac{3}{5}\) |
You need to find the value of a so solve the first equation in terms of z:
-8a + z = 1
z = 1 + 8a
then substitute the result (1 - -8a) into the second equation:
-2a + 3(1 + 8a) = 2
-2a + (3 x 1) + (3 x 8a) = 2
-2a + 3 + 24a = 2
-2a + 24a = 2 - 3
22a = -1
a = \( \frac{-1}{22} \)
a = -\(\frac{1}{22}\)
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.