| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Simplify (2a)(3ab) + (8a2)(4b).
| -26ab2 | |
| 26a2b | |
| 38a2b | |
| 60a2b |
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.
(2a)(3ab) + (8a2)(4b)
(2 x 3)(a x a x b) + (8 x 4)(a2 x b)
(6)(a1+1 x b) + (32)(a2b)
6a2b + 32a2b
38a2b
A(n) __________ is two expressions separated by an equal sign.
formula |
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problem |
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expression |
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equation |
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, 0) and (2, -8). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 4 | |
| y = 2\(\frac{1}{2}\)x - 3 | |
| y = x - 1 | |
| y = -2x - 4 |
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 -4. 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, 0) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x - 4
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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exponents |
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pairs |
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division |
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.)
A right angle measures:
90° |
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180° |
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360° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.