| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.92 |
| Score | 0% | 78% |
Simplify 9a x 5b.
| 14ab | |
| 45\( \frac{a}{b} \) | |
| 45\( \frac{b}{a} \) | |
| 45ab |
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.
9a x 5b = (9 x 5) (a x b) = 45ab
A quadrilateral is a shape with __________ sides.
5 |
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3 |
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4 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, 2) and (2, 6). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x + 0 | |
| y = -x - 1 | |
| y = -\(\frac{1}{2}\)x - 3 | |
| y = x + 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, 2) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 4
What is 7a - 9a?
| -2a | |
| 16 | |
| 63a | |
| -2 |
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.
7a - 9a = -2a
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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addition |
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pairs |
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.)