| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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Solve for b:
b2 - 4b - 10 = -3b + 2
| 8 or 2 | |
| 5 or 3 | |
| -3 or 4 | |
| 8 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:
b2 - 4b - 10 = -3b + 2
b2 - 4b - 10 - 2 = -3b
b2 - 4b + 3b - 12 = 0
b2 - b - 12 = 0
Next, factor the quadratic equation:
b2 - b - 12 = 0
(b + 3)(b - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 3) or (b - 4) must equal zero:
If (b + 3) = 0, b must equal -3
If (b - 4) = 0, b must equal 4
So the solution is that b = -3 or 4
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
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Inside |
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Odd |
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First |
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.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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π r2h |
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π r2h2 |
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4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.