| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
pairs |
|
exponents |
|
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.)
The endpoints of this line segment are at (-2, -2) and (2, 2). What is the slope-intercept equation for this line?
| y = x + 0 | |
| y = 1\(\frac{1}{2}\)x - 1 | |
| y = -2x - 1 | |
| y = -x + 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 0. 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, -2) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 0
What is the area of a circle with a radius of 2?
| 9π | |
| 4π | |
| 16π | |
| 5π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
Simplify (y - 1)(y + 5)
| y2 - 4y - 5 | |
| y2 - 6y + 5 | |
| y2 + 4y - 5 | |
| y2 + 6y + 5 |
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:
(y - 1)(y + 5)
(y x y) + (y x 5) + (-1 x y) + (-1 x 5)
y2 + 5y - y - 5
y2 + 4y - 5
If AD = 19 and BD = 14, AB = ?
| 14 | |
| 12 | |
| 20 | |
| 5 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD