| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
If b = -8 and y = 1, what is the value of -4b(b - y)?
| -256 | |
| -140 | |
| -288 | |
| -32 |
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.)
-4b(b - y)
-4(-8)(-8 - 1)
-4(-8)(-9)
(32)(-9)
-288
Solve for b:
5b + 8 = 7 + 4b
| -1 | |
| 3 | |
| \(\frac{1}{5}\) | |
| 1\(\frac{2}{7}\) |
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.
5b + 8 = 7 + 4b
5b = 7 + 4b - 8
5b - 4b = 7 - 8
b = -1
Solve -2c - 8c = 7c - x - 4 for c in terms of x.
| -\(\frac{1}{2}\)x - \(\frac{1}{6}\) | |
| -\(\frac{7}{9}\)x + \(\frac{4}{9}\) | |
| -2\(\frac{1}{6}\)x + \(\frac{2}{3}\) | |
| -2x + 6 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-2c - 8x = 7c - x - 4
-2c = 7c - x - 4 + 8x
-2c - 7c = -x - 4 + 8x
-9c = 7x - 4
c = \( \frac{7x - 4}{-9} \)
c = \( \frac{7x}{-9} \) + \( \frac{-4}{-9} \)
c = -\(\frac{7}{9}\)x + \(\frac{4}{9}\)
What is 5a + 9a?
| 14a2 | |
| 14a | |
| 45a | |
| -4 |
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 + 9a = 14a
Simplify 8a x 9b.
| 72ab | |
| 72\( \frac{b}{a} \) | |
| 17ab | |
| 72\( \frac{a}{b} \) |
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.
8a x 9b = (8 x 9) (a x b) = 72ab