| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is 2a + 7a?
| 14a2 | |
| 9 | |
| 9a | |
| -5 |
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 + 7a = 9a
Simplify (y + 3)(y + 1)
| y2 - 2y - 3 | |
| y2 + 2y - 3 | |
| y2 + 4y + 3 | |
| y2 - 4y + 3 |
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:
(y + 3)(y + 1)
(y x y) + (y x 1) + (3 x y) + (3 x 1)
y2 + y + 3y + 3
y2 + 4y + 3
What is 3a5 - 8a5?
| 11 | |
| 24a10 | |
| -5 | |
| -5a5 |
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.
3a5 - 8a5 = -5a5
Simplify (9a)(7ab) + (2a2)(9b).
| 81a2b | |
| -45ab2 | |
| 81ab2 | |
| 45ab2 |
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.
(9a)(7ab) + (2a2)(9b)
(9 x 7)(a x a x b) + (2 x 9)(a2 x b)
(63)(a1+1 x b) + (18)(a2b)
63a2b + 18a2b
81a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
rhombus |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.