| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Simplify (4a)(6ab) - (3a2)(7b).
| 3a2b | |
| 100ab2 | |
| 45ab2 | |
| 100a2b |
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.
(4a)(6ab) - (3a2)(7b)
(4 x 6)(a x a x b) - (3 x 7)(a2 x b)
(24)(a1+1 x b) - (21)(a2b)
24a2b - 21a2b
3a2b
If a = c = 5, b = d = 6, and the blue angle = 78°, what is the area of this parallelogram?
| 15 | |
| 30 | |
| 14 | |
| 54 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
Solve for a:
-4a + 1 < 3 - 3a
| a < -2 | |
| a < -1\(\frac{3}{5}\) | |
| a < -1\(\frac{1}{5}\) | |
| a < 2 |
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.
-4a + 1 < 3 - 3a
-4a < 3 - 3a - 1
-4a + 3a < 3 - 1
-a < 2
a < \( \frac{2}{-1} \)
a < -2
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Last |
|
Inside |
|
Odd |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
addition |
|
division |
|
exponents |
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.)