| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
What is 5a + 2a?
| a2 | |
| 3a2 | |
| 10a | |
| 7a |
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.
5a + 2a = 7a
Simplify (y - 1)(y + 4)
| y2 - 3y - 4 | |
| y2 + 3y - 4 | |
| y2 - 5y + 4 | |
| y2 + 5y + 4 |
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 - 1)(y + 4)
(y x y) + (y x 4) + (-1 x y) + (-1 x 4)
y2 + 4y - y - 4
y2 + 3y - 4
If side a = 5, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{34} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 42
c2 = 25 + 16
c2 = 41
c = \( \sqrt{41} \)
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
right, acute, obtuse |
|
acute, obtuse, right |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Simplify (2a)(5ab) + (8a2)(5b).
| 50a2b | |
| 50ab2 | |
| 91ab2 | |
| 30a2b |
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)(5ab) + (8a2)(5b)
(2 x 5)(a x a x b) + (8 x 5)(a2 x b)
(10)(a1+1 x b) + (40)(a2b)
10a2b + 40a2b
50a2b