| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If a = 9, b = 6, c = 2, and d = 7, what is the perimeter of this quadrilateral?
| 18 | |
| 24 | |
| 20 | |
| 12 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 6 + 2 + 7
p = 24
What is 7a8 + 7a8?
| 14a16 | |
| 49a8 | |
| 14a8 | |
| 16 |
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.
7a8 + 7a8 = 14a8
Solve for x:
-6x - 2 < 5 - 3x
| x < -2\(\frac{1}{3}\) | |
| x < 1\(\frac{2}{5}\) | |
| x < -\(\frac{2}{3}\) | |
| x < -\(\frac{1}{8}\) |
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.
-6x - 2 < 5 - 3x
-6x < 5 - 3x + 2
-6x + 3x < 5 + 2
-3x < 7
x < \( \frac{7}{-3} \)
x < -2\(\frac{1}{3}\)
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
\({\Delta y \over \Delta x}\) |
|
x-intercept |
|
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.
Solve for z:
z2 + 3z - 28 = 0
| 8 or 2 | |
| 9 or -3 | |
| -6 or -7 | |
| 4 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 3z - 28 = 0
(z - 4)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 4) or (z + 7) must equal zero:
If (z - 4) = 0, z must equal 4
If (z + 7) = 0, z must equal -7
So the solution is that z = 4 or -7