| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Solve for x:
x2 + 3x - 85 = 3x - 4
| -5 or -6 | |
| 9 or -9 | |
| 8 or 4 | |
| 7 or -7 |
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 + 3x - 85 = 3x - 4
x2 + 3x - 85 + 4 = 3x
x2 + 3x - 3x - 81 = 0
x2 - 81 = 0
Next, factor the quadratic equation:
x2 - 81 = 0
(x - 9)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 9) or (x + 9) must equal zero:
If (x - 9) = 0, x must equal 9
If (x + 9) = 0, x must equal -9
So the solution is that x = 9 or -9
What is 5a5 - 6a5?
| 30a5 | |
| -1a5 | |
| a510 | |
| -1 |
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.
5a5 - 6a5 = -1a5
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 8. What is the volume?
| 160 | |
| 70 | |
| 6 | |
| 81 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 8
v = 160
If a = 2, b = 8, c = 5, and d = 9, what is the perimeter of this quadrilateral?
| 23 | |
| 13 | |
| 24 | |
| 29 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 8 + 5 + 9
p = 24
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 |
|
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
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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).