| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Simplify (y + 9)(y - 8)
| y2 + 17y + 72 | |
| y2 - 17y + 72 | |
| y2 + y - 72 | |
| y2 - y - 72 |
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 + 9)(y - 8)
(y x y) + (y x -8) + (9 x y) + (9 x -8)
y2 - 8y + 9y - 72
y2 + y - 72
What is the circumference of a circle with a diameter of 15?
| 8π | |
| 2π | |
| 15π | |
| 28π |
The formula for circumference is circle diameter x π:
c = πd
c = 15π
If b = 3 and y = -8, what is the value of 3b(b - y)?
| 105 | |
| 40 | |
| 99 | |
| -15 |
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.)
3b(b - y)
3(3)(3 + 8)
3(3)(11)
(9)(11)
99
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 1. What is the volume?
| 30 | |
| 72 | |
| 270 | |
| 56 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 1
v = 72
If the base of this triangle is 6 and the height is 7, what is the area?
| 36 | |
| 17\(\frac{1}{2}\) | |
| 21 | |
| 35 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 7 = \( \frac{42}{2} \) = 21