| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 2. What is the surface area?
| 258 | |
| 210 | |
| 56 | |
| 58 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 2) + (2 x 2 x 6) + (2 x 2 x 6)
sa = (8) + (24) + (24)
sa = 56
A(n) __________ is two expressions separated by an equal sign.
equation |
|
expression |
|
problem |
|
formula |
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.
If angle a = 22° and angle b = 23° what is the length of angle d?
| 127° | |
| 158° | |
| 157° | |
| 148° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 23° = 135°
So, d° = 23° + 135° = 158°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 22° = 158°
This diagram represents two parallel lines with a transversal. If c° = 28, what is the value of y°?
| 32 | |
| 152 | |
| 157 | |
| 12 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with c° = 28, the value of y° is 152.
Simplify (y + 6)(y + 2)
| y2 - 8y + 12 | |
| y2 + 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 4y - 12 |
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 + 6)(y + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y2 + 2y + 6y + 12
y2 + 8y + 12