| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is 4a6 + 6a6?
| 10a6 | |
| 10 | |
| a612 | |
| 24a12 |
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.
4a6 + 6a6 = 10a6
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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equation |
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problem |
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.
The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = 2x - 4 | |
| y = -\(\frac{1}{2}\)x + 3 | |
| y = -1\(\frac{1}{2}\)x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, 4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 3
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
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First |
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Last |
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Inside |
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.
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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right angle |
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equal angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.