| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
If the base of this triangle is 7 and the height is 1, what is the area?
| 3\(\frac{1}{2}\) | |
| 77 | |
| 32 | |
| 66 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)
A(n) __________ is two expressions separated by an equal sign.
formula |
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problem |
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expression |
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equation |
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 area of a circle with a radius of 2?
| 49π | |
| 7π | |
| 4π | |
| 25π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for z:
z2 - 4z - 5 = 0
| 9 or 6 | |
| -1 or 5 | |
| 3 or -7 | |
| -3 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 4z - 5 = 0
(z + 1)(z - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 5) must equal zero:
If (z + 1) = 0, z must equal -1
If (z - 5) = 0, z must equal 5
So the solution is that z = -1 or 5