| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
x-intercept |
|
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.
If side a = 1, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{45} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 22
c2 = 1 + 4
c2 = 5
c = \( \sqrt{5} \)
What is the area of a circle with a diameter of 10?
| 2π | |
| 81π | |
| 49π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
pairs |
|
exponents |
|
addition |
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.)
If a = 3 and y = 2, what is the value of -5a(a - y)?
| -1008 | |
| -162 | |
| -15 | |
| 126 |
To solve this equation, 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.)
-5a(a - y)
-5(3)(3 - 2)
-5(3)(1)
(-15)(1)
-15