| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
Solve for b:
3b + 4 = \( \frac{b}{1} \)
| -1\(\frac{3}{13}\) | |
| -\(\frac{42}{55}\) | |
| -2 | |
| -\(\frac{16}{17}\) |
To solve this equation, 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.
3b + 4 = \( \frac{b}{1} \)
1 x (3b + 4) = b
(1 x 3b) + (1 x 4) = b
3b + 4 = b
3b + 4 - b = 0
3b - b = -4
2b = -4
b = \( \frac{-4}{2} \)
b = -2
Simplify (y - 8)(y - 2)
| y2 + 10y + 16 | |
| y2 - 10y + 16 | |
| y2 - 6y - 16 | |
| y2 + 6y - 16 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 8)(y - 2)
(y x y) + (y x -2) + (-8 x y) + (-8 x -2)
y2 - 2y - 8y + 16
y2 - 10y + 16
If a = c = 6, b = d = 8, what is the area of this rectangle?
| 56 | |
| 3 | |
| 48 | |
| 28 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 8
a = 48
A right angle measures:
90° |
|
180° |
|
360° |
|
45° |
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.
What is the circumference of a circle with a diameter of 1?
| 3π | |
| 12π | |
| 1π | |
| 26π |
The formula for circumference is circle diameter x π:
c = πd
c = 1π