| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Solve for y:
y2 - 6y + 25 = 4y + 1
| -7 or -9 | |
| 6 or 3 | |
| 9 or -6 | |
| 4 or 6 |
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 - 6y + 25 = 4y + 1
y2 - 6y + 25 - 1 = 4y
y2 - 6y - 4y + 24 = 0
y2 - 10y + 24 = 0
Next, factor the quadratic equation:
y2 - 10y + 24 = 0
(y - 4)(y - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 4) or (y - 6) must equal zero:
If (y - 4) = 0, y must equal 4
If (y - 6) = 0, y must equal 6
So the solution is that y = 4 or 6
A(n) __________ is two expressions separated by an equal sign.
formula |
|
equation |
|
expression |
|
problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
deconstructing |
|
factoring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
the area of a parallelogram is base x height |
|
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 42 | |
| 2 | |
| 6 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21