| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
What is 8a + 6a?
| 48a | |
| 14 | |
| 2 | |
| 14a |
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 + 6a = 14a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
Last |
|
Inside |
|
First |
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.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If a = 6 and z = -1, what is the value of 8a(a - z)?
| -896 | |
| -36 | |
| -144 | |
| 336 |
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.)
8a(a - z)
8(6)(6 + 1)
8(6)(7)
(48)(7)
336
Solve for y:
-2y - 2 = \( \frac{y}{7} \)
| -\(\frac{14}{15}\) | |
| \(\frac{27}{35}\) | |
| -2\(\frac{2}{5}\) | |
| \(\frac{8}{9}\) |
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 equal sign and the answer on the other.
-2y - 2 = \( \frac{y}{7} \)
7 x (-2y - 2) = y
(7 x -2y) + (7 x -2) = y
-14y - 14 = y
-14y - 14 - y = 0
-14y - y = 14
-15y = 14
y = \( \frac{14}{-15} \)
y = -\(\frac{14}{15}\)