| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
If angle a = 37° and angle b = 27° what is the length of angle c?
| 82° | |
| 83° | |
| 95° | |
| 116° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 27° = 116°
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 9. What is the surface area?
| 270 | |
| 94 | |
| 64 | |
| 46 |
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 3 x 9) + (2 x 9 x 9) + (2 x 3 x 9)
sa = (54) + (162) + (54)
sa = 270
Simplify (4a)(6ab) - (4a2)(5b).
| 90ab2 | |
| 4a2b | |
| -4ab2 | |
| 90a2b |
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.
(4a)(6ab) - (4a2)(5b)
(4 x 6)(a x a x b) - (4 x 5)(a2 x b)
(24)(a1+1 x b) - (20)(a2b)
24a2b - 20a2b
4a2b
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Simplify (8a)(3ab) + (5a2)(8b).
| -16a2b | |
| 16ab2 | |
| 64a2b | |
| 16a2b |
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.
(8a)(3ab) + (5a2)(8b)
(8 x 3)(a x a x b) + (5 x 8)(a2 x b)
(24)(a1+1 x b) + (40)(a2b)
24a2b + 40a2b
64a2b