| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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First |
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Odd |
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Last |
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.
Simplify (6a)(3ab) + (2a2)(2b).
| -14a2b | |
| 36a2b | |
| 22a2b | |
| 36ab2 |
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)(3ab) + (2a2)(2b)
(6 x 3)(a x a x b) + (2 x 2)(a2 x b)
(18)(a1+1 x b) + (4)(a2b)
18a2b + 4a2b
22a2b
The endpoints of this line segment are at (-2, 3) and (2, 5). What is the slope-intercept equation for this line?
| y = 3x - 3 | |
| y = \(\frac{1}{2}\)x + 4 | |
| y = -3x - 4 | |
| y = 1\(\frac{1}{2}\)x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 4
If side x = 9cm, side y = 10cm, and side z = 7cm what is the perimeter of this triangle?
| 23cm | |
| 28cm | |
| 36cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 10cm + 7cm = 26cm
The dimensions of this cube are height (h) = 6, length (l) = 7, and width (w) = 2. What is the surface area?
| 136 | |
| 320 | |
| 180 | |
| 228 |
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 7 x 2) + (2 x 2 x 6) + (2 x 7 x 6)
sa = (28) + (24) + (84)
sa = 136