| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
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Find the value of a:
-2a + y = 3
-2a + 7y = 2
| -1\(\frac{7}{12}\) | |
| -\(\frac{1}{2}\) | |
| \(\frac{47}{48}\) | |
| 17 |
You need to find the value of a so solve the first equation in terms of y:
-2a + y = 3
y = 3 + 2a
then substitute the result (3 - -2a) into the second equation:
-2a + 7(3 + 2a) = 2
-2a + (7 x 3) + (7 x 2a) = 2
-2a + 21 + 14a = 2
-2a + 14a = 2 - 21
12a = -19
a = \( \frac{-19}{12} \)
a = -1\(\frac{7}{12}\)
What is 6a4 - 8a4?
| 14 | |
| -2a4 | |
| 14a8 | |
| a48 |
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.
6a4 - 8a4 = -2a4
Which of the following expressions contains exactly two terms?
monomial |
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binomial |
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quadratic |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, 3) and (2, -5). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 3 | |
| 1 | |
| -2 |
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, 3) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
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Inside |
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Last |
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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.