| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
If angle a = 45° and angle b = 70° what is the length of angle c?
| 92° | |
| 71° | |
| 77° | |
| 65° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 70° = 65°
Simplify (8a)(4ab) + (7a2)(6b).
| 74a2b | |
| 156ab2 | |
| -10ab2 | |
| 10a2b |
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)(4ab) + (7a2)(6b)
(8 x 4)(a x a x b) + (7 x 6)(a2 x b)
(32)(a1+1 x b) + (42)(a2b)
32a2b + 42a2b
74a2b
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
slope |
|
x-intercept |
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.
What is 9a + 5a?
| a2 | |
| 45a2 | |
| 14a | |
| 4 |
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.
9a + 5a = 14a
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
|
all of these statements are correct |
|
you can multiply monomials that have different variables and different exponents |
|
you can subtract 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.