| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
What is 9a + 3a?
| a2 | |
| 12a | |
| 12a2 | |
| 6a2 |
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.
9a + 3a = 12a
Factor y2 + 3y - 4
| (y - 1)(y + 4) | |
| (y - 1)(y - 4) | |
| (y + 1)(y + 4) | |
| (y + 1)(y - 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 4
y2 + (-1 + 4)y + (-1 x 4)
(y - 1)(y + 4)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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exponents |
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addition |
When solving an equation with two variables, 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.)
On this circle, line segment AB is the:
radius |
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circumference |
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chord |
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diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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intersects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.