| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Solve for y:
y + 9 = \( \frac{y}{-8} \)
| \(\frac{4}{31}\) | |
| \(\frac{5}{9}\) | |
| -\(\frac{28}{41}\) | |
| -8 |
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.
y + 9 = \( \frac{y}{-8} \)
-8 x (y + 9) = y
(-8 x y) + (-8 x 9) = y
-8y - 72 = y
-8y - 72 - y = 0
-8y - y = 72
-9y = 72
y = \( \frac{72}{-9} \)
y = -8
What is 8a + 7a?
| 1 | |
| 15a2 | |
| 56a2 | |
| 15a |
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 + 7a = 15a
Simplify (7a)(6ab) - (3a2)(6b).
| 117ab2 | |
| 24a2b | |
| 60a2b | |
| -24ab2 |
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)(6ab) - (3a2)(6b)
(7 x 6)(a x a x b) - (3 x 6)(a2 x b)
(42)(a1+1 x b) - (18)(a2b)
42a2b - 18a2b
24a2b
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If a = c = 8, b = d = 7, what is the area of this rectangle?
| 40 | |
| 54 | |
| 3 | |
| 56 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 7
a = 56