| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
Solve for b:
b2 - 5b + 6 = 0
| 5 or -1 | |
| 9 or -5 | |
| 9 or -7 | |
| 2 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 5b + 6 = 0
(b - 2)(b - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 3) must equal zero:
If (b - 2) = 0, b must equal 2
If (b - 3) = 0, b must equal 3
So the solution is that b = 2 or 3
A right angle measures:
45° |
|
180° |
|
360° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If c = 2 and y = -8, what is the value of 4c(c - y)?
| -252 | |
| 60 | |
| 80 | |
| -637 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
4c(c - y)
4(2)(2 + 8)
4(2)(10)
(8)(10)
80
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
triangle |
|
trapezoid |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = 4, b = 9, c = 5, and d = 6, what is the perimeter of this quadrilateral?
| 26 | |
| 12 | |
| 25 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 9 + 5 + 6
p = 24