| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
|
y-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 the area of a circle with a radius of 5?
| 5π | |
| 81π | |
| 25π | |
| 7π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
A(n) __________ is two expressions separated by an equal sign.
equation |
|
expression |
|
problem |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 7. What is the volume?
| 72 | |
| 252 | |
| 175 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 6 x 7
v = 252
Solve for z:
6z - 4 > \( \frac{z}{9} \)
| z > 3\(\frac{3}{11}\) | |
| z > -5\(\frac{3}{5}\) | |
| z > 1\(\frac{1}{29}\) | |
| z > \(\frac{36}{53}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
6z - 4 > \( \frac{z}{9} \)
9 x (6z - 4) > z
(9 x 6z) + (9 x -4) > z
54z - 36 > z
54z - 36 - z > 0
54z - z > 36
53z > 36
z > \( \frac{36}{53} \)
z > \(\frac{36}{53}\)