| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
What is 3a8 + 7a8?
| 21a8 | |
| 10a8 | |
| -4a16 | |
| a816 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a8 + 7a8 = 10a8
Solve for y:
y2 + + 5 = 5y - 1
| 9 or 6 | |
| 8 or -7 | |
| 9 or -5 | |
| 2 or 3 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 + + 5 = 5y - 1
y2 + + 5 + 1 = 5y
y2 - 5y + 6 = 0
y2 - 5y + 6 = 0
Next, factor the quadratic equation:
y2 - 5y + 6 = 0
(y - 2)(y - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 3) must equal zero:
If (y - 2) = 0, y must equal 2
If (y - 3) = 0, y must equal 3
So the solution is that y = 2 or 3
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
acute, right, obtuse |
|
right, obtuse, acute |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
y-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.
What is the circumference of a circle with a radius of 16?
| 34π | |
| 32π | |
| 18π | |
| 13π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π