| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
If AD = 11 and BD = 6, AB = ?
| 5 | |
| 15 | |
| 13 | |
| 17 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for x:
x2 + 13x + 11 = 4x - 3
| 9 or -4 | |
| 9 or -2 | |
| -2 or -7 | |
| 2 or 1 |
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:
x2 + 13x + 11 = 4x - 3
x2 + 13x + 11 + 3 = 4x
x2 + 13x - 4x + 14 = 0
x2 + 9x + 14 = 0
Next, factor the quadratic equation:
x2 + 9x + 14 = 0
(x + 2)(x + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 2) or (x + 7) must equal zero:
If (x + 2) = 0, x must equal -2
If (x + 7) = 0, x must equal -7
So the solution is that x = -2 or -7
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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triangle |
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rhombus |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Simplify (5a)(7ab) - (9a2)(8b).
| 107ab2 | |
| 204ab2 | |
| -37a2b | |
| 107a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(7ab) - (9a2)(8b)
(5 x 7)(a x a x b) - (9 x 8)(a2 x b)
(35)(a1+1 x b) - (72)(a2b)
35a2b - 72a2b
-37a2b