| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
Solve for a:
-2a + 2 > \( \frac{a}{6} \)
| a > 4 | |
| a > -1\(\frac{1}{7}\) | |
| a > -\(\frac{9}{71}\) | |
| a > \(\frac{12}{13}\) |
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.
-2a + 2 > \( \frac{a}{6} \)
6 x (-2a + 2) > a
(6 x -2a) + (6 x 2) > a
-12a + 12 > a
-12a + 12 - a > 0
-12a - a > -12
-13a > -12
a > \( \frac{-12}{-13} \)
a > \(\frac{12}{13}\)
If a = 9, b = 7, c = 3, and d = 2, what is the perimeter of this quadrilateral?
| 22 | |
| 14 | |
| 21 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 7 + 3 + 2
p = 21
If a = c = 6, b = d = 5, and the blue angle = 73°, what is the area of this parallelogram?
| 6 | |
| 30 | |
| 40 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 5
a = 30
Simplify (y - 8)(y - 1)
| y2 + 9y + 8 | |
| y2 - 9y + 8 | |
| y2 + 7y - 8 | |
| y2 - 7y - 8 |
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 - 8)(y - 1)
(y x y) + (y x -1) + (-8 x y) + (-8 x -1)
y2 - y - 8y + 8
y2 - 9y + 8
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
division |
|
exponents |
|
pairs |
When solving an equation with two variables, 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.)