| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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expression |
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formula |
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.
Find the value of a:
4a + y = -5
-8a + 8y = 3
| \(\frac{3}{32}\) | |
| -\(\frac{8}{25}\) | |
| -1\(\frac{3}{40}\) | |
| -\(\frac{5}{7}\) |
You need to find the value of a so solve the first equation in terms of y:
4a + y = -5
y = -5 - 4a
then substitute the result (-5 - 4a) into the second equation:
-8a + 8(-5 - 4a) = 3
-8a + (8 x -5) + (8 x -4a) = 3
-8a - 40 - 32a = 3
-8a - 32a = 3 + 40
-40a = 43
a = \( \frac{43}{-40} \)
a = -1\(\frac{3}{40}\)
What is the circumference of a circle with a radius of 12?
| 18π | |
| 17π | |
| 24π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 12)
c = 24π
A quadrilateral is a shape with __________ sides.
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5 |
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3 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 5. What is the volume?
| 150π | |
| 192π | |
| 324π | |
| 441π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 6)
v = 150π