| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Simplify (y + 1)(y + 1)
| y2 + 2y + 1 | |
| y2 - 1 | |
| y2 - 2y + 1 | |
| 22 |
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 + 1)(y + 1)
(y x y) + (y x 1) + (1 x y) + (1 x 1)
y2 + y + y + 1
y2 + 2y + 1
What is the circumference of a circle with a radius of 14?
| 28π | |
| 3π | |
| 14π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π
Simplify 9a x 3b.
| 27\( \frac{b}{a} \) | |
| 27\( \frac{a}{b} \) | |
| 27ab | |
| 12ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
9a x 3b = (9 x 3) (a x b) = 27ab
If the base of this triangle is 2 and the height is 3, what is the area?
| 24 | |
| 48 | |
| 45 | |
| 3 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 3 = \( \frac{6}{2} \) = 3
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 6. What is the surface area?
| 120 | |
| 280 | |
| 314 | |
| 78 |
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 6 x 6) + (2 x 6 x 2) + (2 x 6 x 2)
sa = (72) + (24) + (24)
sa = 120