| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Solve for b:
-9b + 4 > \( \frac{b}{4} \)
| b > 2\(\frac{2}{17}\) | |
| b > 1\(\frac{1}{7}\) | |
| b > \(\frac{16}{37}\) | |
| b > 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 > sign and the answer on the other.
-9b + 4 > \( \frac{b}{4} \)
4 x (-9b + 4) > b
(4 x -9b) + (4 x 4) > b
-36b + 16 > b
-36b + 16 - b > 0
-36b - b > -16
-37b > -16
b > \( \frac{-16}{-37} \)
b > \(\frac{16}{37}\)
If the base of this triangle is 6 and the height is 5, what is the area?
| 91 | |
| 66 | |
| 15 | |
| 32\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15
A(n) __________ is two expressions separated by an equal sign.
formula |
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problem |
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equation |
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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.
What is the circumference of a circle with a radius of 8?
| 5π | |
| 9π | |
| 12π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π
Solve for c:
9c - 1 = 5 - 2c
| 1\(\frac{1}{6}\) | |
| \(\frac{1}{3}\) | |
| -\(\frac{1}{3}\) | |
| \(\frac{6}{11}\) |
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.
9c - 1 = 5 - 2c
9c = 5 - 2c + 1
9c + 2c = 5 + 1
11c = 6
c = \( \frac{6}{11} \)
c = \(\frac{6}{11}\)