| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Find the value of b:
-6b + z = -4
-3b - 2z = -5
| -1\(\frac{1}{40}\) | |
| 8\(\frac{1}{2}\) | |
| \(\frac{13}{15}\) | |
| 33 |
You need to find the value of b so solve the first equation in terms of z:
-6b + z = -4
z = -4 + 6b
then substitute the result (-4 - -6b) into the second equation:
-3b - 2(-4 + 6b) = -5
-3b + (-2 x -4) + (-2 x 6b) = -5
-3b + 8 - 12b = -5
-3b - 12b = -5 - 8
-15b = -13
b = \( \frac{-13}{-15} \)
b = \(\frac{13}{15}\)
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 8. What is the volume?
| 16 | |
| 168 | |
| 49 | |
| 5 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 3 x 8
v = 168
Solve for a:
-5a - 6 > -3 - 9a
| a > \(\frac{1}{6}\) | |
| a > \(\frac{3}{4}\) | |
| a > 9 | |
| a > -\(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-5a - 6 > -3 - 9a
-5a > -3 - 9a + 6
-5a + 9a > -3 + 6
4a > 3
a > \( \frac{3}{4} \)
a > \(\frac{3}{4}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Last |
|
Inside |
|
Odd |
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.
Simplify (4a)(2ab) - (4a2)(5b).
| 54ab2 | |
| 28a2b | |
| 12ab2 | |
| -12a2b |
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.
(4a)(2ab) - (4a2)(5b)
(4 x 2)(a x a x b) - (4 x 5)(a2 x b)
(8)(a1+1 x b) - (20)(a2b)
8a2b - 20a2b
-12a2b