| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
If side x = 12cm, side y = 14cm, and side z = 6cm what is the perimeter of this triangle?
| 27cm | |
| 32cm | |
| 31cm | |
| 39cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 14cm + 6cm = 32cm
What is 8a5 + 5a5?
| 13a5 | |
| 40a10 | |
| 3 | |
| 40a5 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a5 + 5a5 = 13a5
The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 5. What is the surface area?
| 14 | |
| 246 | |
| 110 | |
| 80 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 5) + (2 x 5 x 3) + (2 x 5 x 3)
sa = (50) + (30) + (30)
sa = 110
Solve for c:
c2 - 9c + 8 = 0
| 1 or 8 | |
| 2 or 1 | |
| 6 or -5 | |
| 6 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 9c + 8 = 0
(c - 1)(c - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c - 8) must equal zero:
If (c - 1) = 0, c must equal 1
If (c - 8) = 0, c must equal 8
So the solution is that c = 1 or 8
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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formula |
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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.