| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
What is 7a + 2a?
| 9 | |
| 9a | |
| 5 | |
| 14a |
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 = 9a
Solve for a:
a2 + 8a + 16 = 0
| -4 | |
| 3 or -8 | |
| -5 or -5 | |
| 8 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 8a + 16 = 0
(a + 4)(a + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (a + 4) must equal zero:
If (a + 4) = 0, a must equal -4
So the solution is that a = -4
Simplify (2a)(2ab) - (3a2)(7b).
| -17a2b | |
| 40a2b | |
| 25a2b | |
| 17ab2 |
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.
(2a)(2ab) - (3a2)(7b)
(2 x 2)(a x a x b) - (3 x 7)(a2 x b)
(4)(a1+1 x b) - (21)(a2b)
4a2b - 21a2b
-17a2b
What is 9a2 - 5a2?
| 14 | |
| 4a2 | |
| 14a4 | |
| 45a2 |
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.
9a2 - 5a2 = 4a2
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
exponents |
|
pairs |
|
division |
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.)