| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Simplify (y - 9)(y + 8)
| y2 + 17y + 72 | |
| y2 - y - 72 | |
| y2 - 17y + 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
If a = c = 3, b = d = 2, and the blue angle = 70°, what is the area of this parallelogram?
| 6 | |
| 14 | |
| 5 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6
What is 7a - 2a?
| 5 | |
| 14a | |
| 5a | |
| 14a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a - 2a = 5a
Solve for y:
2y + 5 = \( \frac{y}{-7} \)
| -2\(\frac{1}{3}\) | |
| -6\(\frac{6}{7}\) | |
| -3 | |
| \(\frac{24}{37}\) |
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.
2y + 5 = \( \frac{y}{-7} \)
-7 x (2y + 5) = y
(-7 x 2y) + (-7 x 5) = y
-14y - 35 = y
-14y - 35 - y = 0
-14y - y = 35
-15y = 35
y = \( \frac{35}{-15} \)
y = -2\(\frac{1}{3}\)
If angle a = 47° and angle b = 61° what is the length of angle c?
| 52° | |
| 99° | |
| 72° | |
| 61° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 47° - 61° = 72°