| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 2. What is the volume?
| 224 | |
| 42 | |
| 48 | |
| 20 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 3 x 2
v = 42
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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vertical, supplementary |
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obtuse, acute |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
A(n) __________ is two expressions separated by an equal sign.
problem |
|
equation |
|
formula |
|
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 c:
c2 + 7c - 8 = 0
| -1 or -8 | |
| 6 or 5 | |
| 6 or -4 | |
| 1 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 7c - 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
What is 4a - 7a?
| -3a2 | |
| a2 | |
| -3a | |
| 11a2 |
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.
4a - 7a = -3a