| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Simplify (y - 1)(y - 2)
| y2 - y - 2 | |
| y2 - 3y + 2 | |
| y2 + y - 2 | |
| y2 + 3y + 2 |
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 - 2)
(y x y) + (y x -2) + (-1 x y) + (-1 x -2)
y2 - 2y - y + 2
y2 - 3y + 2
Solve for a:
3a + 7 < 3 + 4a
| a < -\(\frac{4}{5}\) | |
| a < 4 | |
| a < \(\frac{7}{9}\) | |
| a < -\(\frac{1}{9}\) |
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 < sign and the answer on the other.
3a + 7 < 3 + 4a
3a < 3 + 4a - 7
3a - 4a < 3 - 7
-a < -4
a < \( \frac{-4}{-1} \)
a < 4
If a = -8 and x = 2, what is the value of 4a(a - x)?
| 144 | |
| 320 | |
| -180 | |
| -72 |
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.)
4a(a - x)
4(-8)(-8 - 2)
4(-8)(-10)
(-32)(-10)
320
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
triangle |
|
trapezoid |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the volume?
| 2π | |
| 64π | |
| 32π | |
| 567π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 7)
v = 567π