| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 1. What is the volume?
| 280 | |
| 9 | |
| 64 | |
| 120 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 3 x 1
v = 9
What is 7a - 5a?
| 35a2 | |
| 12a2 | |
| 35a | |
| 2a |
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.
7a - 5a = 2a
Which of the following statements about a triangle is not true?
area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, obtuse, right |
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right, acute, obtuse |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for a:
a2 - 13a + 18 = -3a - 3
| 3 or 7 | |
| 4 or -7 | |
| 2 or -1 | |
| -8 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 13a + 18 = -3a - 3
a2 - 13a + 18 + 3 = -3a
a2 - 13a + 3a + 21 = 0
a2 - 10a + 21 = 0
Next, factor the quadratic equation:
a2 - 10a + 21 = 0
(a - 3)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a - 7) must equal zero:
If (a - 3) = 0, a must equal 3
If (a - 7) = 0, a must equal 7
So the solution is that a = 3 or 7