| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is the area of a circle with a radius of 3?
| 6π | |
| 9π | |
| 36π | |
| 64π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
If angle a = 35° and angle b = 54° what is the length of angle d?
| 145° | |
| 122° | |
| 142° | |
| 151° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 54° = 91°
So, d° = 54° + 91° = 145°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 35° = 145°
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope-intercept equation for this line?
| y = 3x + 4 | |
| y = 3x - 4 | |
| y = x - 4 | |
| y = 2x + 0 |
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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 4
Simplify (2a)(8ab) - (7a2)(4b).
| 44a2b | |
| 110a2b | |
| -12a2b | |
| 44ab2 |
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.
(2a)(8ab) - (7a2)(4b)
(2 x 8)(a x a x b) - (7 x 4)(a2 x b)
(16)(a1+1 x b) - (28)(a2b)
16a2b - 28a2b
-12a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
addition |
|
pairs |
|
division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)