| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
right angle |
|
equal length |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for y:
y2 - 5y + 4 = 0
| -1 or -4 | |
| -1 or -8 | |
| 1 or 4 | |
| 5 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 5y + 4 = 0
(y - 1)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y - 4) must equal zero:
If (y - 1) = 0, y must equal 1
If (y - 4) = 0, y must equal 4
So the solution is that y = 1 or 4
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
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 the base of this triangle is 9 and the height is 4, what is the area?
| 36 | |
| 22\(\frac{1}{2}\) | |
| 82\(\frac{1}{2}\) | |
| 18 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 4 = \( \frac{36}{2} \) = 18
What is 7a + 7a?
| 49a | |
| 14a | |
| 2 | |
| a2 |
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.
7a + 7a = 14a