| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
If c = -9 and y = -7, what is the value of -8c(c - y)?
| -24 | |
| 42 | |
| -144 | |
| -108 |
To solve this equation, 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.)
-8c(c - y)
-8(-9)(-9 + 7)
-8(-9)(-2)
(72)(-2)
-144
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
factoring |
|
deconstructing |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Factor y2 + 5y - 36
| (y + 4)(y - 9) | |
| (y + 4)(y + 9) | |
| (y - 4)(y - 9) | |
| (y - 4)(y + 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -36 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -4 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 5y - 36
y2 + (-4 + 9)y + (-4 x 9)
(y - 4)(y + 9)
The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 6. What is the volume?
| 18 | |
| 196 | |
| 360 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 3 x 6
v = 18
Simplify (7a)(5ab) - (3a2)(6b).
| 53a2b | |
| 108ab2 | |
| 17a2b | |
| -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.
(7a)(5ab) - (3a2)(6b)
(7 x 5)(a x a x b) - (3 x 6)(a2 x b)
(35)(a1+1 x b) - (18)(a2b)
35a2b - 18a2b
17a2b