| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
|
x-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π r |
|
a = π d2 |
|
a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 35° and angle b = 42° what is the length of angle c?
| 82° | |
| 51° | |
| 91° | |
| 103° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 42° = 103°
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
|
y-intercept |
|
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.
Solve for a:
2a - 4 > -7 - 5a
| a > -\(\frac{3}{7}\) | |
| a > \(\frac{2}{3}\) | |
| a > 1 | |
| a > 7 |
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.
2a - 4 > -7 - 5a
2a > -7 - 5a + 4
2a + 5a > -7 + 4
7a > -3
a > \( \frac{-3}{7} \)
a > -\(\frac{3}{7}\)