| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.85 |
| Score | 0% | 77% |
Simplify 3a x 8b.
| 24a2b2 | |
| 11ab | |
| 24ab | |
| 24\( \frac{b}{a} \) |
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.
3a x 8b = (3 x 8) (a x b) = 24ab
If a = c = 5, b = d = 9, and the blue angle = 79°, what is the area of this parallelogram?
| 15 | |
| 45 | |
| 35 | |
| 54 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45
Simplify (4a)(9ab) + (7a2)(6b).
| 78a2b | |
| -6ab2 | |
| -6a2b | |
| 78ab2 |
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)(9ab) + (7a2)(6b)
(4 x 9)(a x a x b) + (7 x 6)(a2 x b)
(36)(a1+1 x b) + (42)(a2b)
36a2b + 42a2b
78a2b
What is 2a + 6a?
| 12a2 | |
| a2 | |
| 8a | |
| 8a2 |
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.
2a + 6a = 8a
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
pairs |
|
addition |
|
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.)