| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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factoring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify (8a)(4ab) + (4a2)(5b).
| 52ab2 | |
| 12a2b | |
| 52a2b | |
| 12ab2 |
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)(4ab) + (4a2)(5b)
(8 x 4)(a x a x b) + (4 x 5)(a2 x b)
(32)(a1+1 x b) + (20)(a2b)
32a2b + 20a2b
52a2b
Solve for x:
-x + 9 = 4 - 9x
| -\(\frac{5}{8}\) | |
| 2 | |
| \(\frac{7}{8}\) | |
| -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.
-x + 9 = 4 - 9x
-x = 4 - 9x - 9
-x + 9x = 4 - 9
8x = -5
x = \( \frac{-5}{8} \)
x = -\(\frac{5}{8}\)
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
If b = 7 and y = 1, what is the value of -9b(b - y)?
| 24 | |
| -162 | |
| -378 | |
| 21 |
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.)
-9b(b - y)
-9(7)(7 - 1)
-9(7)(6)
(-63)(6)
-378