| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral, isosceles and right |
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equilateral and right |
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equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The dimensions of this cube are height (h) = 9, length (l) = 8, and width (w) = 3. What is the volume?
| 144 | |
| 8 | |
| 32 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 8 x 3
v = 216
Simplify 6a x 2b.
| 12\( \frac{b}{a} \) | |
| 12ab | |
| 12a2b2 | |
| 12\( \frac{a}{b} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
6a x 2b = (6 x 2) (a x b) = 12ab
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Last |
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Inside |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve for a:
a2 + 2a - 43 = 4a + 5
| 2 or 1 | |
| 1 or 1 | |
| -6 or 8 | |
| 2 or -7 |
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 + 2a - 43 = 4a + 5
a2 + 2a - 43 - 5 = 4a
a2 + 2a - 4a - 48 = 0
a2 - 2a - 48 = 0
Next, factor the quadratic equation:
a2 - 2a - 48 = 0
(a + 6)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 6) or (a - 8) must equal zero:
If (a + 6) = 0, a must equal -6
If (a - 8) = 0, a must equal 8
So the solution is that a = -6 or 8