| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
Simplify (5a)(4ab) - (9a2)(7b).
| 83ab2 | |
| 144ab2 | |
| 43ab2 | |
| -43a2b |
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.
(5a)(4ab) - (9a2)(7b)
(5 x 4)(a x a x b) - (9 x 7)(a2 x b)
(20)(a1+1 x b) - (63)(a2b)
20a2b - 63a2b
-43a2b
Simplify (5a)(4ab) + (3a2)(4b).
| 8ab2 | |
| 32a2b | |
| -8ab2 | |
| 63ab2 |
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.
(5a)(4ab) + (3a2)(4b)
(5 x 4)(a x a x b) + (3 x 4)(a2 x b)
(20)(a1+1 x b) + (12)(a2b)
20a2b + 12a2b
32a2b
What is 8a + 2a?
| a2 | |
| 6 | |
| 10a | |
| 10a2 |
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.
8a + 2a = 10a
If side x = 12cm, side y = 11cm, and side z = 8cm what is the perimeter of this triangle?
| 31cm | |
| 35cm | |
| 34cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 11cm + 8cm = 31cm
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
normalizing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.