| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is 9a - 7a?
| 63a | |
| 2a2 | |
| 2a | |
| 2 |
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.
9a - 7a = 2a
Simplify (8a)(9ab) + (6a2)(3b).
| -54ab2 | |
| 90a2b | |
| 153a2b | |
| 90ab2 |
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.
(8a)(9ab) + (6a2)(3b)
(8 x 9)(a x a x b) + (6 x 3)(a2 x b)
(72)(a1+1 x b) + (18)(a2b)
72a2b + 18a2b
90a2b
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Simplify (2a)(9ab) - (9a2)(7b).
| 45ab2 | |
| 81a2b | |
| -45a2b | |
| 81ab2 |
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)(9ab) - (9a2)(7b)
(2 x 9)(a x a x b) - (9 x 7)(a2 x b)
(18)(a1+1 x b) - (63)(a2b)
18a2b - 63a2b
-45a2b
Solve -3c + 7c = -2c - 9y - 7 for c in terms of y.
| -3y + 4\(\frac{1}{2}\) | |
| -3y + 9 | |
| 16y + 7 | |
| -1\(\frac{2}{5}\)y - 1\(\frac{1}{5}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-3c + 7y = -2c - 9y - 7
-3c = -2c - 9y - 7 - 7y
-3c + 2c = -9y - 7 - 7y
-c = -16y - 7
c = \( \frac{-16y - 7}{-1} \)
c = \( \frac{-16y}{-1} \) + \( \frac{-7}{-1} \)
c = 16y + 7